Tootfinder

Olha, @… . Como eu dizia ontem.
https://bsky.brid.gy/r/https://bsky.ap

News Literacy Project (@newslit.org)
❌ NO: This is not genuine footage of a military attack by #Ukraine on #Russia. The viral clip shows footage from the video game Arma 3. ⚠️ Video game footage is often repurposed & shared out of context. #RumorGuard post: go.newslit.org/drone

On the quadratic 8-edge case of the Brown-Erd\H{o}s-S\'os problem
Oleg Pikhurko, Shumin Sun
https://arxiv.org/abs/2506.01739 https://

On the quadratic 8-edge case of the Brown-Erdős-Sós problem
Let $f^{(r)}(n;s,k)$ be the maximum number of edges in an $n$-vertex $r$-uniform hypergraph containing no $k$ edges on at most $s$ vertices. Brown, Erdős and Sós conjectured in 1973 that the limit $\lim_{n\rightarrow \infty}n^{-2}f^{(3)}(n;k+2,k)$ exists for all $k$. Recently, Delcourt and Postle settled the conjecture and their approach was generalised by Shangguan to every uniformity $r\ge 4$: the limit $\lim_{n\rightarrow \infty}n^{-2}f^{(r)}(n;rk-2k+2,k)$ exists for all $r\ge 3$ and $k\ge…

This https://arxiv.org/abs/2401.01351 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A remark on the distribution of $\sqrt{p}$ modulo one involving primes of special type II
Let $P_{r}$ denote an integer with at most $r$ prime factors counted with multiplicity. In this paper we prove that for some $λ< \frac{3}{28}$, the inequality $\{\sqrt{p}\}

Evaluating Prompt Engineering Techniques for Accuracy and Confidence Elicitation in Medical LLMs
Nariman Naderi, Zahra Atf, Peter R Lewis, Aref Mahjoub far, Seyed Amir Ahmad Safavi-Naini, Ali Soroush
https://arxiv.org/abs/2506.00072

Evaluating Prompt Engineering Techniques for Accuracy and Confidence Elicitation in Medical LLMs
This paper investigates how prompt engineering techniques impact both accuracy and confidence elicitation in Large Language Models (LLMs) applied to medical contexts. Using a stratified dataset of Persian board exam questions across multiple specialties, we evaluated five LLMs - GPT-4o, o3-mini, Llama-3.3-70b, Llama-3.1-8b, and DeepSeek-v3 - across 156 configurations. These configurations varied in temperature settings (0.3, 0.7, 1.0), prompt styles (Chain-of-Thought, Few-Shot, Emotional, Exper…

#mastodonadmin note on v4.3.9
None
YMMV
https://github.com/mastodon/mastodon/releases/tag/v4.3.9

About the Strain-Coupled Molecular Dynamics in the Ferroelastic Phase Transition of TMACd(N$_3$)$_3$
A. Nonato, R. X. Silva, C. C. Santos, A. P. Ayala, C. W. A. Paschoal
https://arxiv.org/abs/2507.01179

About the Strain-Coupled Molecular Dynamics in the Ferroelastic Phase Transition of TMACd(N$_3$)$_3$
Tetramethylammonium (TMA) cadmium azide, is a new perovskite-like compound which undergoes a series of first-order phase transitions, including a ferroelastic transition above room temperature. Understanding the order-disorder structural phase transition (SPT) mechanism in hybrid organic--inorganic perovskites (HOIPs) is crucial for designing new compounds with enhanced barocaloric efficiency, as well as unlocking other multifunctional properties. In this paper, we employed the energy fluctuati…

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
D. C. Jacobsen
https://arxiv.org/abs/2506.00284 htt…

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
In this work we present a constructive proof that pure SU(3) Yang-Mills theory on R^4 exists as a nontrivial Wightman quantum field theory and exhibits a strictly positive mass gap. Our approach embeds the four-dimensional gauge theory as the zero-mode sector of a five-dimensional orbifold regulator that preserves gauge invariance and reflection positivity. A convergent joint polymer expansion on the Wilson lattice provides uniform control of the continuum (a->0) and infinite-volume (L->inf) li…

Constraining $\Lambda$CDM, $\omega$CDM, and $\omega_0\omega_a$CDM models with DESI DR2 BAO: Redshift-Resolved Diagnostics and the Role of $r_d$
Seokcheon Lee
https://arxiv.org/abs/2507.01380

Constraining $Λ$CDM, $ω$CDM, and $ω_0ω_a$CDM models with DESI DR2 BAO: Redshift-Resolved Diagnostics and the Role of $r_d$
We present a detailed comparison of $Λ$CDM, $ω$CDM, and $ω_0ω_a$CDM cosmologies using the latest redshift-resolved BAO measurements from DESI DR2. By separating $r_d$-dependent and $r_d$-independent observables and applying both fixed and model-derived sound horizon values, we test the consistency of each model across 24 observables spanning redshift 0.2 to 2.3. Our results show that the $ω$CDM model is statistically favored over $Λ$CDM, with lower $χ^2$, AIC, and BIC values and reduced…

Three fast-spinning medium-sized Hilda asteroids uncovered by TESS
N\'ora Tak\'acs, Csaba Kiss, R\'obert Szak\'ats, Emese Plachy, Csilla E. Kalup, Gyula M. Szab\'o, L\'aszl\'o Moln\'ar, Kriszti\'an S\'arneczky, R\'obert Szab\'o, Attila B\'odi, Andr\'as P\'al
https://arx…

Three fast-spinning medium-sized Hilda asteroids uncovered by TESS
Hilda asteroids, which orbit in a 3:2 resonance with Jupiter, serve as key indicators of dynamical processes in the early solar system. Their spin rates, an important probe of these mechanisms, can constrain their density and collisional evolution, offering valuable insights into their origin. In this paper, we report on the identification of three fast-rotating Hilda asteroids with spin periods in the 3.2--3.7 h range using data from the Transiting Exoplanet Survey Satellite. These rotation pe…

Here's a document that deserves to be remembered, resurrected, and read (hey, that's 3 "R's!).
"Records, Computers and the Rights of Citizens: Report of the HEW Advisory Committee on Automated Personal Data Systems" July 1973
https://epic.org/documents/hew1973repo

This https://arxiv.org/abs/2504.05655 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multi-bubble solutions for the Dirichlet problem of the $H$-system with higher degree
We consider a Dirichlet problem of the $H$-system \begin{equation*} \begin{cases} Δv = 2v_x\wedge v_y ~& \text{ in }\mathcal{D},\\ v=\varepsilon \tilde g ~& \text{ on }\partial{\mathcal{D}}, \end{cases} \end{equation*} where $\mathcal D\subset \mathbb{R}^2$ is the unit disk, $v:\mathcal D\to \mathbb{R}^3$, and $\tilde g:\partial \mathcal D\to \mathbb{R}^3$ is a given smooth map. As $\varepsilon\to 0^+$, we construct multi-bubble solutions concentrating at distinct points, taking around each po…

Helical spin dynamics in Cu$_2$OSeO$_3$ as measured with small-angle neutron scattering
Victor Ukleev, Priya R. Baral, Robert Cubitt, Nina-Juliane Steinke, Arnaud Magrez, Oleg I. Utesov
https://arxiv.org/abs/2507.01164

Helical spin dynamics in Cu$_2$OSeO$_3$ as measured with small-angle neutron scattering
The insulating chiral magnet Cu$_2$OSeO$_3$ exhibits a rich array of low-temperature magnetic phenomena, making it a prime candidate for the study of its spin dynamics. Using spin wave small-angle neutron scattering (SWSANS), we systematically investigated the temperature-dependent behavior of the helimagnon excitations in the field-polarized phase of Cu$_2$OSeO$_3$. Our measurements, spanning 5-55 K, reveal the temperature evolution of spin-wave stiffness and damping constant with unprecedente…

Complete two-sided $\delta$-stable minimal hypersurfaces in $\mathbf R^{n 1}$
Qing-Ming Cheng, Guoxin Wei
https://arxiv.org/abs/2507.00342 https://

Complete two-sided $δ$-stable minimal hypersurfaces in $\mathbf R^{n+1}$
In this paper, we study complete $δ$-stable minimal hypersurfaces in $\mathbf R^{n+1}$. We prove that complete two-sided $δ$-stable minimal hypersurfaces have Euclidean volume growth if $3\leq n\leq 5$ and $δ>δ_0(n)$, where $δ_0(3)=1/3$, $δ_0(4)=1/2$ and $δ_0(5)=21/22$. We also give a sufficient condition such that complete two-sided $δ$-stable minimal hypersurfaces in $\mathbf R^{n+1}$ is the hyperplane. Furthermore, we prove that a complete two-sided $δ$-stable minimal hypersurface i…

Search for millicharged particles in proton-proton collisions at $\sqrt{s} = 13.6$ TeV
S. Alcott, Z. Bhatti, J. Brooke, C. Campagnari, M. Carrigan, M. Citron, R. De Los Santos, A. De Roeck, C. Dorofeev, T. Du, J. Goldstein, F. Golf, N. Gonzalez, A. Haas, J. Heymann, C. S. Hill, D. Imani, M. Joyce, K. Larina, R. Loos, S. Lowette, H. Mei, D. W. Miller, B. Peng, S. N. Santpu, I. Reed, E. Schaffer, R. Schmitz, J. Steenis, D. Stuart, J. S. Tafoya Vargas, D. Vannerom, T. Wybouw, Z. Xiao, H. …

Search for millicharged particles in proton-proton collisions at $\sqrt{s} = 13.6$ TeV
We report on a search for elementary particles with charges much smaller than the electron charge using a data sample of proton-proton collisions provided by the CERN Large Hadron Collider in 2023--24, corresponding to an integrated luminosity of 124.7~fb$^{-1}$ at a center-of-mass energy of 13.6~TeV. The analysis presented uses the completed Run 3 milliQan bar detector to set the most stringent constraints to date for particles with charges $\leq0.24~\rm{e}$ and masses $\geq0.45~\rm{GeV}$.

Knot complements decomposing into prisms
Jason Deblois, Arshia Gharagozlou, Neil R Hoffman
https://arxiv.org/abs/2507.01263 https://a…

Knot complements decomposing into prisms
We describe four hyperbolic knot complements in $\mathbb{S}^3$, each of which covers a prism orbifold: the quotient of $\mathbb{H}^3$ by the action of a discrete group generated by reflections in the faces of a polyhedron that has the combinatorial type of a triangular prism. The prism orbifolds are rigid-cusped and contain compact, totally geodesic hyperbolic triangle sub-orbifolds; as a result, the knot complements covering them have hidden symmetries and contain closed, embedded, totally geo…

This https://arxiv.org/abs/2501.11099 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The JWST EXCELS survey: an extremely metal-poor galaxy at $z=8.271$ hosting an unusual population of massive stars
We present an analysis of the rest-frame optical ($λ\simeq 3100-5600 \,$Å) spectrum of a $\mathrm{log}_{10}(M_*/\mathrm{M_\odot}) = 8.6$ star-forming galaxy at $z=8.271$ (EXCELS-63107) from JWST/NIRSpec medium-resolution observations taken as part of the EXCELS survey. EXCELS-63107 is a compact object consistent with the size of local star-forming cluster complexes ($r_e < 200 \, \rm{pc}$) and has an extremely steep UV continuum measured from JWST/NIRCam photometry ($β=-3.3\pm0.3$). The JWST…

Mutual-visibility of the disjointness graph of segments in ${\mathbb R}^2$
J. Lea\~nos, M. Lomel\'i-Haro, Christophe Ndjatchi, L. M. R\'ios-Castro
https://arxiv.org/abs/2506.00689

Mutual-visibility of the disjointness graph of segments in ${\mathbb R}^2$
Let $G=(V(G),E(G))$ be a simple graph, and let $U\subseteq V(G)$. Two distinct vertices $x,y\in U$ are $U$-mutually visible if $G$ contains a shortest $x$-$y$ path that is internally disjoint from $U$. $U$ is called a mutual-visibility set of $G$ if any two vertices of $U$ are $U$-mutually visible. The mutual-visibility number $μ(G)$ of $G$ is the size of a largest mutual-visibility set of $G$. Let $P$ be a set of $n\geq 3$ points in ${\mathbb R}^2$ in general position. The disjointness graph …

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- Quasi-symbolic Semantic Geometry over Transformer-based Variational AutoEncoder
Yingji Zhang, Danilo S. Carvalho, Andr\'e Freitas

Sen. Ron Johnson, R-Wisconsin, is doubling down on his concerns about a bill that would make sweeping changes to taxes, Medicaid, food stamps and more
after it was passed last month in the Republican-led House at the urging of President Donald Trump.
It's completely unsustainable," Johnson said in an interview on Fox's "Sunday Morning Futures."
The bill is expected to add somewhere around $3 trillion to the deficit over the next 10 years and swell the…

'It's completely unsustainable': Republican lawmaker doubles down, knocks Trump tax bill
Sen. Ron Johnson of Wisconsin says he supports the president but wants to see the price of his sweeping tax bill come down before he supports it.

Simultaneous Six-way Observations from the Navy Precision Optical Interferometer
Ellyn K. Baines, Solvay Blomquist, James H. Clark III, Jim Gorney, Erin Maier, Jason Sanborn, Henrique R. Schmitt, Jordan M. Stone, Gerard T. van Belle, Kaspar von Braun
https://arxiv.org/abs/2506.01720

Simultaneous Six-way Observations from the Navy Precision Optical Interferometer
We measured the angular diameters of six stars using the 6-element observing mode of the Navy Precision Optical Interferometer (NPOI) for the first time since the early 2000s. Four of the diameters ranged from 1.2 mas to 1.9 mas, while the two others were much smaller at approximately 0.5 mas to 0.7 mas, which are the two smallest angular diameters measured to date with the NPOI. There is a larger spread in the measurements than data obtained with 3- or 4- or 5-element modes, which can be attri…

The Close AGN Reference Survey (CARS). Long-term spectral variability study of the changing look AGN Mrk 1018
T. Saha, M. Krumpe, A. Markowitz, M. Powell, G. Leung, F. Combes, R. E. McElroy, J. S. Elford, M. Gaspari, N. Winkel, A. L. Coil, T. Urrutia
https://arxiv.org/abs/2506.03061

The Close AGN Reference Survey (CARS). Long-term spectral variability study of the changing look AGN Mrk 1018
Changing-look AGNs (CLAGN) are accreting supermassive black hole systems that undergo variations in optical spectral type, driven by major changes in accretion rate. Mrk 1018 has undergone two transitions, a brightening event in the 1980s and a transition back to a faint state over the course of 2-3 years in the early 2010s. We characterize the evolving physical properties of the source's inner accretion flow, particularly during the bright-to-faint transition, as well as the morphological prop…

TeO2-BaO-Bi2O3 tellurite optical glasses II. -- Linear and non-linear optical and magneto-optical properties
Jan Hrabovsk\'y, Jaden R. Love, Luk\'a\v{s} St\v{r}i\v{z}\'ik, Takayuki Ishibashi, Stefan Zollner, Martin Veis
https://arxiv.org/abs/2507.01258

TeO2-BaO-Bi2O3 tellurite optical glasses II. -- Linear and non-linear optical and magneto-optical properties
The present study investigates the linear and non-linear optical and magneto-optical properties of TeO$_2$-BaO-Bi$_2$O$_3$ (TeBaBi) glasses prepared by the conventional melt-quenching technique at 900 °C. Prepared glass composition ranges across the whole glass-forming-ability (GFA) region focusing on mutual substitution trends of constituent oxides, where TeO$_2$: 55-85 mol.%, BaO: 10-35 mol.%, Bi$_2$O$_3$: 5-15 mol.%. Studied glasses exhibit high values of linear ($n_{632} \approx$ 1.922-2.0…

On jet schemes of determinantal varieties
Yifan Chen, Huaiqing Zuo
https://arxiv.org/abs/2506.22898 https://arxiv.org/pdf/2506.22898

On jet schemes of determinantal varieties
Determinantal varieties are important objects of study in algebraic geometry. In this paper, we will investigate them using the jet scheme approach. We have found a new connection for the Hilbert series between a determinantal variety and its jet schemes. We denote the $k$-th order jet scheme of the determinantal variety defined by $r$-minors in an $m \times n$ matrix as $\mathscr{L}^{m,n}_{r,k}$. For the special case where $m$, $n$, and $r$ are equal, and $m$ and $r$ are 3 while $k$ is 1, we e…

Perceptual Ratings Predict Speech Inversion Articulatory Kinematics in Childhood Speech Sound Disorders
Nina R. Benway, Saba Tabatabaee, Dongliang Wang, Benjamin Munson, Jonathan L. Preston, Carol Espy-Wilson
https://arxiv.org/abs/2507.01888

Perceptual Ratings Predict Speech Inversion Articulatory Kinematics in Childhood Speech Sound Disorders
Purpose: This study evaluated whether articulatory kinematics, inferred by Articulatory Phonology speech inversion neural networks, aligned with perceptual ratings of /r/ and /s/ in the speech of children with speech sound disorders. Methods: Articulatory Phonology vocal tract variables were inferred for 5,961 utterances from 118 children and 3 adults, aged 2.25-45 years. Perceptual ratings were standardized using the novel 5-point PERCEPT Rating Scale and training protocol. Two research ques…

Explicit formulas for extremals in sub-Lorentzian and Finsler problems on 2- and 3-dimensional Lie groups
E. A. Ladeishchikov, L. V. Lokutsievskiy, N. V. Prilepin
https://arxiv.org/abs/2507.00250

Explicit formulas for extremals in sub-Lorentzian and Finsler problems on 2- and 3-dimensional Lie groups
In this paper, we consider the problem of finding geodesics in a series of left-invariant problems endowed with sub-Lorentzian and Finsler structures. Explicit formulas for extremals are obtained in terms of convex trigonometric functions. In the sub-Lorentzian setting, the new trigonometric functions $\cosh_Ω$ and $\sinh_Ω$, developed here, prove especially useful; they generalize the classical $\cosh$ and $\sinh$ to the case of an unbounded convex set $Ω\subset\mathbb{R}^2$.

H\"{o}lder continuous weak solutions of the 3D Boussinesq equation with thermal diffusion
Zipeng Chen, Zhaoyang Yin
https://arxiv.org/abs/2506.02927 h…

Hölder continuous weak solutions of the 3D Boussinesq equation with thermal diffusion
In this paper, we show the existence of Hölder continuous periodic weak solutions of the 3D Boussinesq equation with thermal diffusion, which apprroximate the Onsager's critical spatial regularity and satisfy the prescribed kinetic energy. More precisely, for any smooth $e(t):[0,T]\rightarrow \mathbb{R}_+$ and $β\in (0, \frac{1}{3})$, there exist $v\in C^β([0,T]\times {\mathbb{T} }^3)$ and $ θ\in C_t^{1,\fracβ{2}}C_x^{2,β}([0,T]\times {\mathbb{T} }^3)$ which solve (\ref{e:boussinesq equat…

Ultrahigh-Q Torsional Nanomechanics through Bayesian Optimization
Atkin D. Hyatt, Aman R. Agrawal, Christian M. Pluchar, Charles A. Condos, Dalziel J. Wilson
https://arxiv.org/abs/2506.02325

Ultrahigh-Q Torsional Nanomechanics through Bayesian Optimization
Recently it was discovered that torsion modes of strained nanoribbons exhibit dissipation dilution, giving a route to enhanced torque sensing and quantum optomechanics experiments. As with all strained nanomechanical resonators, an important limitation is bending loss due to mode curvature at the clamps. Here we use Bayesian optimization to design nanoribbons with optimal dissipation dilution of the fundamental torsion mode. Applied to centimeter-scale Si$_3$N$_4$ nanoribbons, we realize $Q$ fa…

Rigidity of Five-Dimensional shrinking gradient Ricci solitons
Fengjiang Li, Jianyu Ou, Yuanyuan Qu, Guoqiang Wu
https://arxiv.org/abs/2506.00887 https://

Rigidity of Five-Dimensional shrinking gradient Ricci solitons
Suppose $(M, g, f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R=1$. If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\times \mathbb{S}^2$.

This https://arxiv.org/abs/2505.19365 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Three-dimensional magnetic Schrödinger operator with the potential supported in a tube
In this article we discuss the magnetic Schroedinger operator $H= (i \nabla +A)^2-V$ on $\mathbb{R}^3$ with a non-negative potential $V$ supported over the tube built along a curve which is a local deformation of a straight one, and the magnetic field $B := \mathrm{rot}(A)$ is assumed to be nonzero and local. For the latter, we prove that the magnetic field does not change the essential spectrum of this system, and investigate a sufficient condition for the discrete spectrum of $H$ to be empty.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions
Preet Mishra, Shyam Kumar, Sapna Ratan Shah, R. K. Brojen Singh
https://arxiv.org/abs/2505.23988

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions
Cell proliferation and diffusion can be modeled through reaction-diffusion systems describing the space-time evolution of a density variable. In this work, we present non-linear transformations of heat equation solutions to model cellular growth and diffusion using a Richards growth function. The solutions are obtained by using two-variable Hermite Polynomials. We estimated the parameters of the Richards function by comparing the model solutions with the experimentally observed data from scratc…

Millimeter-wave observations of Euclid Deep Field South using the South Pole Telescope: A data release of temperature maps and catalogs
M. Archipley, A. Hryciuk, L. E. Bleem, K. Kornoelje, M. Klein, A. J. Anderson, B. Ansarinejad, M. Aravena, L. Balkenhol, P. S. Barry, K. Benabed, A. N. Bender, B. A. Benson, F. Bianchini, S. Bocquet, F. R. Bouchet, E. Camphuis, M. G. Campitiello, J. E. Carlstrom, J. Cathey, C. L. Chang, S. C. Chapman, P. Chaubal, P. M. Chichura, A. Chokshi, T. -L. Chou…

Millimeter-wave observations of Euclid Deep Field South using the South Pole Telescope: A data release of temperature maps and catalogs
Context. The South Pole Telescope third-generation camera (SPT-3G) has observed over 10,000 square degrees of sky at 95, 150, and 220 GHz (3.3, 2.0, 1.4 mm, respectively) overlapping the ongoing 14,000 square-degree Euclid Wide Survey. The Euclid collaboration recently released Euclid Deep Field observations in the first quick data release (Q1). Aims. With the goal of releasing complementary millimeter-wave data and encouraging legacy science, we performed dedicated observations of a 57-square-…

This https://arxiv.org/abs/2303.14503 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On winding numbers of $K_5$ minus an edge in the plane
Let $K$ be the graph on vertices $\{1, 2, 3, 4, 5\}$, and having all edges except $(4, 5)$. A continuous map $f:K\to \R^2$ is called an \emph{almost embedding} if $f$-images of non-adjacent edges are disjoint. Take the winding numbers of the $f$-image of the oriented cycle $(1, 2, 3)$ around $f(4)$ and around $f(5)$. We prove that the difference of these numbers equals $\pm 1$. This is surprising, because in other similar situations analogous statement is wrong.

At its core, #CCSignals is an attempt by Creative Commons, a Silicon Valley-based organisation, to legitimise the AI grifts of its donors – Google, Microsoft, and Meta (Zuckerberg).
Creative Commons was always a thinly-veiled attempt at enabling Big Tech data farmers to get more data (that’s why the whole “open data” realm is so well funded/popular – open as in “open for business” not fre…

Тъжното е, че и аз не бих посмял да го взема на сляпо, но тук поне знаете, че обявата е моя:
Десктоп компютър i5 13400F GTX 1650 DDGR6 DDR4 3200 CL-16 • OLX.bg
https://www.olx.bg/d/ad/desktop-kompyutar-i5-13400f-gtx-1650…

OLX.bg - безплатни обяви
650 лв.: Частите на компютъра: CPU: Intel Core i5 13400F CPU COOLER: DeepCool AK400 (R-AK400-BKNNMN-G-1) GPU: ZOTAC GAMING GeForce GTX 1650 GDDR6 MB: Gigabyte H610M H DDR4 (rev. 1.1/1.3) RAM: 2x16GB DDR4 320...

Higher path groupoids and the holonomy of formal power series connections
Matthew Cellot
https://arxiv.org/abs/2506.23880 https://arx…

Higher path groupoids and the holonomy of formal power series connections
Building on ideas of Kohno, we develop a framework for the construction of higher holonomy functors via the transport of formal power series connections. Using these techniques, we obtain functors from the path groupoid, the path 2-groupoid, and the path 3-groupoid of a manifold. As an application, we construct a Gray functor from the path 3-groupoid of the configuration space of $m$ points in $\mathbb{R}^n$ for $n\geqslant 4$.

Observability of modified threshold behavior near unitarity
Michael D. Higgins, J. Golak, R. Skibinski, K. Topolnicki, H. Witala, H. Kamada, Chris H. Greene
https://arxiv.org/abs/2505.24569

Observability of modified threshold behavior near unitarity
A number of recent references have pointed out that an N-particle system having short-range interactions at S-wave and/or P-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close to unitarity one must get in order to observe such modifications has not been addressed. The present study quantities this question by treating cases involving 3- or 4-neutrons, at the physical value of the neutron-neutron singlet scattering length a and at …

High brightness multi-MeV photon source driven by a petawatt-scale laser wakefield accelerator
E. Gerstmayr, B. Kettle, M. J. V. Streeter, L. Tudor, O. J. Finlay, L. E. Bradley, R. Fitzgarrald, T. Foster, P. Gellersen, A. E. Gunn, O. Lawrence, P. P. Rajeev, B. K. Russell, D. R. Symes, C. D. Murphy, A. G. R. Thomas, C. P. Ridgers, G. Sarri, S. P. D. Mangles

High brightness multi-MeV photon source driven by a petawatt-scale laser wakefield accelerator
We present an experimental demonstration of a bright multi-MeV gamma source driven by a petawatt laser. The source generates on average $(1.2\pm0.6)\times10^9$ photons above 1 MeV per pulse, exceeding those of previous all-optical sources by a hundred times, and reached a peak spectral brightness of $(3.9 \pm 1.5)\times 10^{22}$ photons/mm$^2$/mrad$^2$/s/0.1%BW at $ε_γ\approx11$ MeV. The source was produced by inverse Compton scattering of a laser wakefield accelerated GeV electron beam and i…

Sodium-Decorated P-C3N: A Porous 2D Framework for High-Capacity and Reversible Hydrogen Storage
Jose A. S. Laranjeira, Nicolas F. Martins, Kleuton A. L. Lima, Lingtao Xiao, Xihao Chen, Luiz A. Ribeiro Junior, Julio R. Sambrano
https://arxiv.org/abs/2506.02374

Sodium-Decorated P-C3N: A Porous 2D Framework for High-Capacity and Reversible Hydrogen Storage
The development of reversible hydrogen storage materials has become crucial for enabling carbon-neutral energy systems. Based on this, the present work investigates the hydrogen storage on the sodium-decorated P-C$_3$N (Na@P-C$_3$N), a porous carbon nitride monolayer recently proposed as a stable semiconductor. First-principles calculations reveal that Na atoms preferentially adsorb with an adsorption energy of -4.48~eV, effectively suppressing clusterization effects. Upon decoration, the syste…

Improved direct measurement of low-energy resonances in the $^{21}$Ne(p,$\gamma$)$^{22}$Na reaction
R. S. Sidhu, F. Casaburo, E. Masha, M. Aliotta, C. Ananna, L. Barbieri, F. Barile, C. Baron, D. Bemmerer, A. Best, R. Biassisi, A. Boeltzig, R. Bonnel, C. Broggini, C. G. Bruno, A. Caciolli, M. Campostrini, F. Cavanna, T. Chillery, G. F. Ciani, P. Colombetti, A. Compagnucci, P. Corvisiero, L. Csedreki, T. Davinson, R. Depalo, A. Di Leva, A. D'Ottavi, Z. Elekes, F. Ferraro, A. Formico…

Improved direct measurement of low-energy resonances in the $^{21}$Ne(p,$γ$)$^{22}$Na reaction
In the nova temperature range, 0.1 GK $< T <$ 0.4 GK, several low-energy resonances dominate the $^{21}$Ne(p,$γ$)$^{22}$Na reaction rate, which is currently affected by large uncertainties. We present a high-precision study of the resonances at $E^{\rm{lab}}_{\rm{r}}$ = 127.3, 271.4, 272.3, 291.5, and 352.6 keV, measured directly at the Laboratory for Underground Nuclear Astrophysics in Italy. The strengths of the 127.3, 271.4, and 291.5 keV resonances are consistent with previous measurements…

Nonminimal infrared gravitational reheating in light of ACT
Ayan Chakraborty, Debaprasad Maity, Rajesh Mondal
https://arxiv.org/abs/2506.02141 https://

Nonminimal infrared gravitational reheating in light of ACT
Inflation is known to produce large infrared scalar fluctuations. Further, if a scalar field $(χ)$ is non-minimally coupled with gravity through $ξχ^2 R$, those infrared modes experience \textit{tachyonic instability} during and after inflation. Those large non-perturbative infrared modes can collectively produce hot Big Bang universe upon their horizon entry during the post-inflationary period. We indeed find that for reheating equation of state (EoS), $w_ϕ > 1/3$, and coupling strength, $…

Scale-resolved turbulent Prandtl number for Rayleigh-B\'{e}nard convection at $\boldsymbol{Pr =10^{-3}}$
Shashwat Bhattacharya, Dmitry Krasnov, Ambrish Pandey, Toshiyuki Gotoh, J\"org Schumacher
https://arxiv.org/abs/2506.22110

Scale-resolved turbulent Prandtl number for Rayleigh-Bénard convection at $\boldsymbol{Pr =10^{-3}}$
We present a framework to calculate the scale-resolved turbulent Prandtl number $Pr_t$ for the well-mixed and highly inertial bulk of a turbulent Rayleigh-Bénard mesoscale convection layer at a molecular Prandtl number $Pr=10^{-3}$. It builds on Kolmogorov's refined similarity hypothesis of homogeneous isotropic fluid and passive scalar turbulence, based on log-normally distributed amplitudes of kinetic energy and scalar dissipation rates that are coarse-grained over variable scales $r$ in the…

A Precise Metallicity and Carbon-to-Oxygen Ratio for a Warm Giant Exoplanet from its Panchromatic JWST Emission Spectrum
Lindsey S. Wiser, Taylor J. Bell, Michael R. Line, Everett Schlawin, Thomas G. Beatty, Luis Welbanks, Thomas P. Greene, Vivien Parmentier, Matthew M. Murphy, Jonathan J. Fortney, Kenny Arnold, Nishil Mehta, Kazumasa Ohno, Sagnick Mukherjee

A Precise Metallicity and Carbon-to-Oxygen Ratio for a Warm Giant Exoplanet from its Panchromatic JWST Emission Spectrum
WASP-80 b, a warm sub-Jovian (equilibrium temperature ~820 K, 0.5 Jupiter masses), presents an opportunity to characterize a rare gas giant exoplanet around a low-mass star. In addition, its moderate temperature enables its atmosphere to host a range of carbon and oxygen species (H$_2$O, CH$_4$, CO, CO$_2$, NH$_3$). In this paper, we present a panchromatic emission spectrum of WASP-80 b, the first gas giant around a late K/early M-dwarf star and the coolest planet for which the James Webb Space…

Automatic detection and characterization of random telegraph noise in sCMOS sensors
Arda \"Ozdo\u{g}ru (Czech Technical University in Prague, Jugosl\'avsk\'ych partyz\'an\r{u} 1580/3, 160 00, Prague, Czechia), Sergey Karpov (Institute of Physics of the Czech Academy of Sciences, Na Slovance 1999/2, 182 00, Prague, Czechia), Asen Christov (Institute of Physics of the Czech Academy of Sciences, Na Slovance 1999/2, 182 00, Prague, Czechia), Stanislav V\'itek (Czech Te…

Automatic detection and characterization of random telegraph noise in sCMOS sensors
Scientific CMOS (sCMOS) image sensors are a modern alternative to typical CCD detectors and are rapidly gaining popularity in observational astronomy due to their large sizes, low read-out noise, high frame rates, and cheap manufacturing. However, numerous challenges remain in using them due to fundamental differences between CCD and CMOS architectures, especially concerning the pixel-dependent and non-Gaussian nature of their read-out noise. One of the main components of the latter is the rand…

Existence and concentration of nontrivial solutions for quasilinear Schr\"{o}dinger equation with indefinite potential
Lifeng Yin, Xiaoqi Liu, Yongyong Li
https://arxiv.org/abs/2507.01748

Existence and concentration of nontrivial solutions for quasilinear Schrödinger equation with indefinite potential
This paper is concerned with the quasilinear Schrödinger equation \begin{align*} -Δu+V(x)u+\frac{k}{2}Δ(u^2)u=f(u)\quad \text{in}~~\mathbb{R}^N\text{,} \end{align*} where $N\geq 3$, $k>0$, $V\in C(\R)$ is an indefinite potential. Under structural conditions on the potential $V$ and the nonlinearity $f$, we establish the existence of a nontrivial solution through a combination of a local linking argument, Morse theory, and the Moser iteration. Moreover, if $f$ is odd, we obtain an unbounded s…

This https://arxiv.org/abs/2404.19233 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Avoiding short progressions in Euclidean Ramsey theory
We provide a general framework to construct colorings avoiding short monochromatic arithmetic progressions in Euclidean Ramsey theory. Specifically, if $\ell_m$ denotes $m$ collinear points with consecutive points of distance one apart, we say that $\mathbb{E}^n \not \to (\ell_r,\ell_s)$ if there is a red/blue coloring of $n$-dimensional Euclidean space that avoids red congruent copies of $\ell_r$ and blue congruent copies of $\ell_s$. We show that $\mathbb{E}^n \not \to (\ell_3, \ell_{20})$, i…

The Close AGN Reference Survey (CARS): A comparison between sub-mm and optical AGN diagnostic diagrams
Jacob S. Elford, Timothy A. Davis, Ilaria Ruffa, Stefi A. Baum, Francoise Combes, Massimo Gaspari, Rebecca McElroy, Christopher P. O'Dea, Osase Omoruyi, Mainak Singha, Grant R. Tremblay, Nico Winkel
https://arxiv.org/abs/25…

The Close AGN Reference Survey (CARS): A comparison between sub-mm and optical AGN diagnostic diagrams
The $L_{\rm IR}-L_{\rm HCN}$ relation suggests that there is a tight connection between dense gas and star formation. We use data from the Close AGN Reference Survey (CARS) to investigate the dense gas - star formation relation in AGN hosting galaxies, and the use of dense gas as an active galactic nuclei (AGN) diagnostic. Our sample contains five Type-1 (unobscured) AGN that were observed with the Atacama Large Millimeter/submillimeter Array (ALMA) with the aim to detect HCN(4-3), HCO$^+$(4-3)…

Web 3.0 Requires Data Integrity
New integrity-focused standards are necessary to enable the trusted AI services of tomorrow.
🔐 https://cacm.acm.org/opinion/web-3-0-requires-data-integrity/

High-Precision Quantum Dynamics of He$_2$ b $^3\Pi_\mathrm{g}$-c $^3\Sigma_\mathrm{g}^ $ including Non-adiabatic, Relativistic and QED Corrections and Couplings
Bal\'azs R\'acsai, P\'eter Jeszenszki, \'Ad\'am Marg\'ocsy, Edit M\'atyus
https://arxiv.org/abs/2506.23879

High-Precision Quantum Dynamics of He$_2$ b $^3Π_\mathrm{g}$-c $^3Σ_\mathrm{g}^+$ including Non-adiabatic, Relativistic and QED Corrections and Couplings
Relativistic, quantum electrodynamics, as well as non-adiabatic corrections and couplings, are computed for the b $^3Π_\mathrm{g}$ and c $^3Σ_\mathrm{g}^+$ electronic states of the helium dimer. The underlying Born-Oppenheimer potential energy curves are converged to 1 ppm ($1:10^6$) relative precision using a variational explicitly correlated Gaussian approach. % The quantum nuclear motion is computed over the b $^3Π_\mathrm{g}$-c $^3Σ_\mathrm{g}^+$ (and B $^1Π_\mathrm{g}$-C $^1Σ_\mathrm…

Weekend #Plankton Factoid 🦠🦐
More news about the potential collapse of an ocean current, the Atlantic Meridional Overturning Circulation (AMOC) which transfers heat from the tropics to northern Atlantic, giving Europe a much milder climate, controls plankton productivity, and importantly also generates deep ocean circulation by sinking cold dense water. Winter

Consistent line clustering using geometric hypergraphs
Kalle Alaluusua, Konstantin Avrachenkov, B. R. Vinay Kumar, Lasse Leskel\"a
https://arxiv.org/abs/2505.24868

Consistent line clustering using geometric hypergraphs
Traditional data analysis often represents data as a weighted graph with pairwise similarities, but many problems do not naturally fit this framework. In line clustering, points in a Euclidean space must be grouped so that each cluster is well approximated by a line segment. Since any two points define a line, pairwise similarities fail to capture the structure of the problem, necessitating the use of higher-order interactions modeled by geometric hypergraphs. We encode geometry into a 3-unifor…

On a minimal free resolution of the residue field over a local ring of codepth 3 of class T
Van C. Nguyen, Oana Veliche
https://arxiv.org/abs/2506.21505 ht…

On a minimal free resolution of the residue field over a local ring of codepth 3 of class T
Let $R$ be any local ring with residue field $k$, and $A$ the homology of the Koszul complex on a minimal set of generators of the maximal ideal of $R$. In this paper, we show that a minimal free resolution of $k$ over $R$ can be obtained from a graded minimal free resolution of $k$ over $A$. More precisely, this is done by the iterated mapping cone construction, introduced by the authors in a previous work, using specific choices of ingredients. As applications, using this general perspective,…

A system of 2 nonlinearly coupled ODEs which is explicitly solvable and possibly isochronous provided its coefficients are suitably restricted
Fabio Briscese, Francesco Calogero, Farrin Payandeh
https://arxiv.org/abs/2505.24370

A system of 2 nonlinearly coupled ODEs which is explicitly solvable and possibly isochronous provided its coefficients are suitably restricted
In this paper we discuss some remarkable properties of the autonomous system of 2 first-order Ordinary Differential Equations (ODEs), which equates the derivatives $\dot{x}_n(t)$ ($n = 1, 2$) of the 2 dependent variables $x_n(t)$ to the ratios of polynomials (with constant coefficients) in the 2 variables $x_n (t)$: each of the 2 (a priori different) polynomials $P_3^{(n)}(x_1, x_2)$ in the 2 numerators is of degree 3; the 2 denominators are instead given by the same polynomial $P_1(x_1, x_2)$ …

Separating covering numbers and separating uniformity numbers of Hausdorff measures need large continuum
Tatsuya Goto
https://arxiv.org/abs/2506.22592 http…

Separating covering numbers and separating uniformity numbers of Hausdorff measures need large continuum
We show that if $\mathfrak{c} = \aleph_2$ then all covering numbers of Hausdorff measures $\operatorname{cov}(\mathcal{N}^s(\mathbb{R}^d))$ ($0 < s < d, d \in ω$) are equal and all uniformity numbers $\operatorname{non}(\mathcal{N}^s(\mathbb{R}^d))$ ($0 < s < d, d \in ω$) are equal. This is a partial answer to Problem 5.3 and 5.4 of [4].

Magnetic levitation by rotation described by a new type of Levitron
A. Doff, R. M. Szmoski
https://arxiv.org/abs/2506.23268 https://a…

Magnetic levitation by rotation described by a new type of Levitron
Recently, the authors[1][2] have highlighted a novel magnetic levitation phenomenon utilizing two magnetically equivalent permanent neodymium magnets. We propose that this system represents an analog of a scaled-up version of a Levitron[3][4]. The main distinction between these systems lies in the fact that the radius $m_/μ_f$ now is a function of the lateral displacement $δ_R$, and the adjustment required for magnetic trapping is not determined by the rotation speed of the float. Using an ef…

small ridiculousness: the owsley stanley foundation seems to have found a few tapes of sparky & the assbites from hell, the grateful dead's roadies' band. maybe what the shaggs sound like to people who don't like the shaggs? sorry for the fb link.

3.5K views · 157 reactions | Sparky et al? | Sparky & the Assbites from Hell (Jack-In-The-Box?), Oklahoma City, November 14, 1972: If this is what we think it is, this one really caught us... | By Owsley Stanley Foundation | Facebook
Sparky & the Assbites from Hell (Jack-In-The-Box?), Oklahoma City, November 14, 1972: If this is what we think it is, this one really caught us...

Interplay of magnetic ordering and charge transport in a distorted ScAl$_3$C$_3$-type GdZn$_3$As$_3$
Zhiyu Zhou, Xiyu Chen, Jia-Yi Lu, Junchao Zhang, Xiong Luo, Guang-Han Cao, Shuai Dong, Zhi-Cheng Wang
https://arxiv.org/abs/2506.20454

Interplay of magnetic ordering and charge transport in a distorted ScAl$_3$C$_3$-type GdZn$_3$As$_3$
We present the synthesis and characterization of GdZn$_3$As$_3$, a previously unreported variant of the $RM_3X_3$ family ($R$ = lanthanides; $M$ = Zn, Cd; $X$ = P, As), prepared in both single-crystal and polycrystalline forms. Unlike other $RM_3X_3$ compounds that crystallize in undistorted hexagonal structures, GdZn$_3$As$_3$ adopts a distorted ScAl$_3$C$_3$-type orthorhombic structure with $Cmcm$ space group. Magnetic measurements demonstrate that GdZn$_3$As$_3$ undergoes a ferromagnetic tra…

I've read now through the "Streets for kids" #cityranking report: https://cleancitiescampaign.org/city-ranking-2025/

Streets for Kids, Cities for All: City Ranking 2025
We've analysed 36 European cities to see how they’re progressing in creating transport systems that prioritise the needs of children.

Floer homotopy theory for monotone Lagrangians
Ciprian Mircea Bonciocat
https://arxiv.org/abs/2506.17431 https://arxiv.org/pdf/2506.1…

Floer homotopy theory for monotone Lagrangians
We circumvent one of the roadblocks in associating Floer homotopy types to monotone Lagrangians, namely the curvature phenomena occurring in high dimensions. Given $N \ge 3$ and $R$ a connective $\mathbb E_1$-ring spectrum, there is a notion of an $N$-truncated, $R$-oriented flow category, to which we associate a module prospectrum over the Postnikov truncation $τ_{\le N - 3}R$. This endows ordinary Floer cohomology with an action of the Steenrod algebra over $τ_{\le N-3}R$, and also induces …

The Minkowski problem for the $k$-torsional rigidity
Xia Zhao, Peibiao Zhao
https://arxiv.org/abs/2505.24494 https://arxiv.org/pdf/25…

The Minkowski problem for the $k$-torsional rigidity
P. Salani [Adv. Math., 229 (2012)] introduced the $k$-torsional rigidity associated with a $k$-Hessian equation and obtained the Brunn-Minkowski inequalities $w.r.t.$ the torsional rigidity in $\mathbb{R}^3$. Following this work, we first construct, in the present paper, a Hadamard variational formula for the $k$-torsional rigidity with $1\leq k\leq n-1$, then we can deduce a $k$-torsional measure from the Hadamard variational formula. Based on the $k$-torsional measure, we propose the Minkowsk…

Magnetic dilution in the triangular lattice antiferromagnet NaYb$_{1-x}$Lu$_{x}$O$_2$
Steven J. Gomez Alvarado, Brenden R. Ortiz, Soren Bear, Benito A. Gonzalez, Andrea N. Capa Salinas, Adam Berlie, Michael J. Graf, Stephen D. Wilson
https://arxiv.org/abs/2506.22613

Magnetic dilution in the triangular lattice antiferromagnet NaYb$_{1-x}$Lu$_{x}$O$_2$
The delafossite-like compound NaYbO$_2$ hosts a triangular lattice of Yb$^{3+}$ moments and is a promising candidate for realizing a quantum spin liquid state. Here we leverage the substitution of nonmagnetic Lu$^{3+}$ onto the Yb$^{3+}$ sites to track the evolution of the quantum disordered ground state with increasing magnetic disorder in NaYb$_{1-x}$Lu$_x$O$_2$. Low temperature $μ$SR measurements preclude conventional spin freezing and magnetic inhomogeneity, and instead resolve resilient, …

A subsequentially fast dynamo on $\mathbb{T}^3$
Keefer Rowan
https://arxiv.org/abs/2505.23936 https://arxiv.org/pdf/2505.23936…

A subsequentially fast dynamo on $\mathbb{T}^3$
We construct a smooth velocity field $u$ on $\mathbb{R}_+ \times \mathbb{T}^3$ that exhibits kinematic dynamo action, causing exponential growth in solutions to the magnetohydrodynamic induction equation, with a rate that is uniform in diffusivity, for suitable sequences of diffusivity $κ_j \to 0.$ We call this a subsequentially fast dynamo, giving dynamo behavior intermediate between a truly slow dynamo and a truly fast dynamo.

listening to daisuke tobari's 3:00 at 3:00
#np

Diffusion in the Inverted Triangular Soft Lorentz Gas
Esko Toivonen, Aleksi Majaniemi, Rainer Klages, Esa R\"as\"anen
https://arxiv.org/abs/2506.23792

Diffusion in the Inverted Triangular Soft Lorentz Gas
We investigate diffusion in a two-dimensional inverted soft Lorentz gas, where attractive Fermi-type potential wells are arranged in a triangular lattice. This configuration contrasts with earlier studies of soft Lorentz gases involving repulsive scatterers. By systematically varying the gap width and softness of the potential, we explore a rich landscape of diffusive behaviors. We present numerical simulations of the mean squared displacement and compute diffusion coefficients, identifying ton…

Finite groups with nearly half as many cyclic subgroups as elements
Vaibhav Chhajer, Sumana Hatui, Palash Sharma
https://arxiv.org/abs/2506.21163 https://

Finite groups with nearly half as many cyclic subgroups as elements
Suppose $C(G)$ denotes the set of all cyclic subgroups of a finite group $G$, and $\mathcal{O}_{2}(G)$ denotes the number of elements of order $2$ in $G$. In [Marius T., Finite groups with a certain number of cyclic subgroups. The American Mathematical Monthly 122.3 (2015): 275-276], an open problem was asked to classify the groups $G$ with $|C(G)|=|G|-r$, where $2 \leq r \leq |G|-1$. In this article, first we show that there are infinitely many groups $G$ with $&#…

AGNBoost: A Machine Learning Approach to AGN Identification with JWST/NIRCam MIRI Colors and Photometry
Kurt Hamblin, Allison Kirkpatrick, Bren E. Backhaus, Gregory Troiani, Fabio Pacucci, Jonathan R. Trump, Alexander de la Vega, L. Y. Aaron Yung, Jeyhan S. Kartaltepe, Dale D. Kocevski, Anton M. Koekemoer, Erini Lambrides, Casey Papovich, Kaila Ronayne, Guang Yang, Pablo Arrabal Haro, Micaela B. Bagley, Mark Dickinson, Steven L. Finkelstein, Nor Pirzkal

AGNBoost: A Machine Learning Approach to AGN Identification with JWST/NIRCam+MIRI Colors and Photometry
We present AGNBoost, a machine learning framework utilizing XGBoostLSS to identify AGN and estimate redshifts from JWST NIRCam and MIRI photometry. AGNBoost constructs 121 input features from 7 NIRCam and 4 MIRI bands-including magnitudes, colors, and squared color terms-to simultaneously predict the fraction of mid-IR $3-30\,μ$m emission attributable to an AGN power law (frac$_\text{AGN}$) and photometric redshift. Each model is trained on a sample of $10^6$ simulated galaxies from CIGALE pro…

Exploring the keV-scale physics potential of CUORE
CUORE Collaboration, D. Q. Adams, C. Alduino, K. Alfonso, A. Armatol, F. T. Avignone III, O. Azzolini, G. Bari, F. Bellini, G. Benato, M. Beretta, M. Biassoni, A. Branca, C. Brofferio, C. Bucci, J. Camilleri, A. Caminata, A. Campani, J. Cao, C. Capelli, S. Capelli, L. Cappelli, L. Cardani, P. Carniti, N. Casali, E. Celi, D. Chiesa, M. Clemenza, S. Copello, A. Cosoli, O. Cremonesi, R. J. Creswick, A. DAddabbo, I. Dafinei, S. DellOro, S.…

Exploring the keV-scale physics potential of CUORE
We present the analysis techniques developed to explore the keV-scale energy region of the CUORE experiment, based on more than 2 tonne yr of data collected over 5 years. By prioritizing a stricter selection over a larger exposure, we are able to optimize data selection for thresholds at 10 keV and 3 keV with 691 kg yr and 11 kg yr of data, respectively. We study how the performance varies among the 988-detector array with different detector characteristics and data taking conditions. We achiev…

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
Nilmoni Karak
https://arxiv.org/abs/2506.22590 https://…

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
Using a recent method developed by Mahatab, we obtain an improved $Ω$-bound for the error term arising in lattice counting problem of bodies of revolution in $\mathbb R^3$ around a coordinate axis and having smooth boundary with bounded nonzero curvature. This strengthens an earlier result by Kühleitner and Nowak.

Long-range electrical conductivity in non-$\pi$-conjugated organic molecular materials
H. Mager, A. A. Butkevich, S. Klubertz, S. V. Haridas, O. Shyshov, V. C. Wakchaure, J. Borstelmann, I. Michalsky, M. Garc\'ia-Iglesias, V. Rodr\'iguez, D. Gonz\'alez-Rodr\'iguez, A. R. A. Palmans, M. Kivala, M. von Delius, M. Kemerink
https://

Long-range electrical conductivity in non-$π$-conjugated organic molecular materials
Electronic conductivity in organic materials is well-established. Moreover, semiconductive or metallic behavior in (quasi) 0-, 1-, 2- and 3-dimensional carbon-based materials has been demonstrated and understood and is nowadays widely applied in commercial devices. Despite the large structural variety, these materials commonly have an extended $π$-system, formed by sp2-hybridized carbon atoms, which is responsible for the conductivity. Here, we present a class of organic molecular materials th…

Analyticity and asymptotic behavior of solutions to the compressible Navier-Stokes-Korteweg equations with the zero sound speed in scaling critical spaces
Takayuki Kobayashi, Ryosuke Nakasato
https://arxiv.org/abs/2506.01573

Analyticity and asymptotic behavior of solutions to the compressible Navier-Stokes-Korteweg equations with the zero sound speed in scaling critical spaces
We consider the initial-value problem in the $d$-dimensional Euclidean space $\mathbb{R}^d$ $(d \ge 3)$ for the compressible Navier-Stokes-Korteweg equations under the zero sound speed case (namely, $P'(ρ_*)=0$, where $P=P(ρ)$ stands for the pressure). The system is well-known as the Diffuse Interface model describing the motion of a vaper-liquid mixture in a compressible viscous fluid. The purposes of this paper are to obtain the global-in-time solution around the constant equilibrium states…

On the isotopies of tangles in periodic 3-manifolds using finite covers
Yuka Kotorii, Sonia Mahmoudi, Elisabetta Matsumoto, Ken'ichi Yoshida
https://arxiv.org/abs/2505.20940

On the isotopies of tangles in periodic 3-manifolds using finite covers
A periodic tangle is a one-dimensional submanifold in $\mathbb{R}^3$ that has translational symmetry in one, two or three transverse directions. A periodic tangle can be seen as the universal cover of a link in the solid torus, the thickened torus, or the three-torus, respectively. Our goal is to study equivalence relations of such periodic tangles. Since all finite covers of a link lift to the same periodic tangle, it is necessary to prove that isotopies between different finite covers are pre…

Identifying Long Radio Transients with Accompanying X-Ray Emission as Disk-Jet Precessing Black Holes: The Case of ASKAP J1832-0911
Antonios Nathanail
https://arxiv.org/abs/2506.17389

Identifying Long Radio Transients with Accompanying X-Ray Emission as Disk-Jet Precessing Black Holes: The Case of ASKAP J1832-0911
Aims: In this work we investigate whether the 2 min bursts every 44 min from ASKAP J1832-0911 can be explained by Lense-Thirring precession of an intermediate-mass black hole (IMBH) accretion disk launching a Blandford-Znajek jet, as an alternative to magnetar or white-dwarf models. Methods: We derive the Lense-Thirring period $ P_{\rm LT}=\frac{πG M}{a c^3}r^3 $ and solve $P_{\rm LT}=44$ min for black-hole mass M and dimensionless radius $r=R/R_g$. We estimate the equipartition field B at r, …

Cosmology from Planck CMB Lensing and DESI DR1 Quasar Tomography
R. de Belsunce, A. Krolewski, S. Chiarenza, E. Chaussidon, S. Ferraro, B. Hadzhiyska, C. Ravoux, N. Sailer, G. Farren, A. Tamone, J. Aguilar, S. Ahlen, D. Bianchi, D. Brooks, T. Claybaugh, A. Cuceu, A. de la Macorra, J. Della Costa, Biprateep Dey, P. Doel, A. Font-Ribera, J. E. Forero-Romero, E. Gazta\~naga, S. Gontcho A Gontcho, G. Gutierrez, J. Guy, H. K. Herrera-Alcantar, K. Honscheid, M. Ishak, R. Joyce, S. Juneau, R.…

Cosmology from Planck CMB Lensing and DESI DR1 Quasar Tomography
We present a measurement of the amplitude of matter fluctuations over the redshift range 0.8 <= z <= 3.5 from the cross correlation of over 1.2 million spectroscopic quasars selected by the Dark Energy Spectroscopic Instrument (DESI) across 7,200 deg$^2$ (approx 170 quasars/deg$^2$) and Planck PR4 (NPIPE) cosmic microwave background (CMB) lensing maps. We perform a tomographic measurement in three bins centered at effective redshifts z=1.44, 2.27 and 2.75, which have ample overlap with the CMB …

This https://arxiv.org/abs/2504.03100 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Symmetry Breaking as Predicted by a Phase Space Hamiltonian with a Spin Coriolis Potential
We perform electronic structure calculations for a set of molecules with degenerate spin-dependent ground states ($^3$CH$_2$, $^2$CH$_3^{\bullet}$, $^3$O$_2$) going beyond the Born-Oppenheimer approximation and accounting for nuclear motion. According to a phase space (PS) approach that parametrizes electronic states ($|Φ\rangle$) and electronic energies ($E$) by nuclear position and momentum (i.e., $|Φ(\mathbf{R},\mathbf{P}) \rangle$ and $E(\mathbf{R},\mathbf{P})$), we find that th…

Non-Universal Flipped Trinification Models with Arbitrary $\beta$
Richard H. Benavides, Yithsbey Giraldo, Eduardo Rojas
https://arxiv.org/abs/2506.16693 ht…

Non-Universal Flipped Trinification Models with Arbitrary $β$
We explore the recently proposed gauge symmetry \( SU(3)_C \otimes SU(3)_L \otimes SU(3)_R \otimes U(1)_X \), which naturally embeds both the Left-Right symmetric model and the 3-3-1 model as subgroups. Within this unified framework, we propose four families of leptons and quarks. A detailed analysis of their contributions to gauge anomaly cancellation is carried out for a general value of the parameter $β$. From this analysis, eight non-universal anomaly-free three-family models and four no…

Existence of new self-similar solutions of the fast diffusion equation
Kin Ming Hui
https://arxiv.org/abs/2505.24131 https://arxiv.or…

Existence of new self-similar solutions of the fast diffusion equation
Let $n\ge 3$, $00$, $η_0>0$, $ρ_1>0$, $-\frac{ρ_1}{2}<β<\frac{mρ_1}{n-2-nm}$ and $α=\frac{2β+ρ_1}{1-m}$. We will prove the existence of radially symmetric solution of the equation $Δ(f^m/m)+αf+βx\cdot\nabla f=0$, $f>0$, in $\mathbb{R}^n$, which satisfies $f(0)=η_0$, $f_r(0)=0$. When $β<\frac{mρ_1}{n-2-nm}$ holds instead, we will also prove the existence of radially symmetric solution of the equation $Δ(f^m/m)+αf+βx\cdot\nabla f=0$, $f>0$, in $\mathbb{R}^n…

Effective action of bosonic string theory at order $\alpha'^3$
Mehdi Ameri, Alireza Pahlavan, Mohammad R. Garousi
https://arxiv.org/abs/2506.19471 http…

Effective action of bosonic string theory at order $α'^3$
In this work, we derive the classical effective action of bosonic string theory at order $α'^{3}$ for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction of the minimal basis at this order, in the schemes where their corresponding actions at order $α'$ are the Meissner and the Metsaev-Tseytlin schemes. We find that T-duality fixes all coupling constants in terms of the known overall factor at order $α'$ and a sin…

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type
Jefferson Baudin, Tatsuro Kawakami, Linus R\"osler
https://arxiv.org/abs/2506.21381

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type
Given a Cohen-Macaulay scheme of klt type $X$ and a resolution $π\colon Y\to X$, we show that $R^1π_*ω_Y=0$. We deduce that if $\mathrm{dim}(X)=3$, then $X$ satisfies Grauert-Riemenschneider vanishing and therefore has rational singularities. We also obtain that in arbitrary dimension, if $X$ is of finite type over a perfect field of characteristic $p>0$, then $X$ has $\mathbb{Q}_p$-rational singularities.

5-regular graphs and the 3-dimensional rigidity matroid
Rebecca Monks, Anthony Nixon
https://arxiv.org/abs/2506.22214 https://arxiv.o…

5-regular graphs and the 3-dimensional rigidity matroid
A bar-joint framework $(G,p)$ in Euclidean $d$-space is rigid if the only edge-length-preserving continuous motions arise from isometries of $\mathbb{R}^d$. In the generic case, rigidity is determined by the generic $d$-dimensional rigidity matroid of $G$. The combinatorial nature of this matroid is well understood when $d=1,2$ but open when $d\geq 3$. Jackson and Jordán 2005 characterised independence in this matroid for connected graphs with minimum degree at most $d+1$ and maximum degree at…

Constraining the Stellar-to-Halo Mass Relation with Galaxy Clustering and Weak Lensing from DES Year 3 Data
G. Zacharegkas, C. Chang, J. Prat, W. Hartley, S. Mucesh, A. Alarcon, O. Alves, A. Amon, K. Bechtol, M. R. Becker, G. Bernstein, J. Blazek, A. Campos, A. Carnero Rosell, M. Carrasco Kind, R. Cawthon, R. Chen, A. Choi, J. Cordero, C. Davis, J. Derose, H. Diehl, S. Dodelson, C. Doux, A. Drlica-Wagner, K. Eckert, T. F. Eifler, J. Elvin-Poole, S. Everett, X. Fang, A. Ferte, M. Gatti,…

Constraining the Stellar-to-Halo Mass Relation with Galaxy Clustering and Weak Lensing from DES Year 3 Data
We develop a framework to study the relation between the stellar mass of a galaxy and the total mass of its host dark matter halo using galaxy clustering and galaxy-galaxy lensing measurements. We model a wide range of scales, roughly from $\sim 100 \; {\rm kpc}$ to $\sim 100 \; {\rm Mpc}$, using a theoretical framework based on the Halo Occupation Distribution and data from Year 3 of the Dark Energy Survey (DES) dataset. The new advances of this work include: 1) the generation and validation o…

Multiple solutions for Schr{\"o}dinger-Poisson-Slater equations with critical growth
Shibo Liu
https://arxiv.org/abs/2507.00295 https://

Multiple solutions for Schr{ö}dinger-Poisson-Slater equations with critical growth
We obtain multiple solutions for the zero mass Schr{ö}dinger-Poisson-Slater equation \[ - Δu + \left( \frac{1}{4 π| x |} \ast u^2 \right) u = λg (x) | u |^{p - 2} u + | u |^{6 - 2} u \text{, \ \ \ \ } u \in \mathcal{D}^{1, 2} (\mathbb{R}^3) \text{} \] for $λ\gg 1$, where $p \in (4, 6)$ and $g \in L^{6 / (6 - p)} (\mathbb{R}^3)$. The crucial (PS)$_c$ condition is verified using a simpler method. Similar multiplicity result is also obtained for related equation …

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three
Yixing Pu
https://arxiv.org/abs/2506.01652 https://…

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three
We investigate the existence of solutions to the semilinear equation with a slightly supercritical exponent in dimension three, \begin{align*} -Δu=K(x) u^{5+μ},\quad u>0 ~\text{in}~ \mathbf{B}, \quad u=0 ~\text{on}~ \partial \mathbf{B}, \end{align*} where $μ>0$, $\mathbf{B}$ is the unit ball in $\mathbb{R}^3$, $K(x)$ is a nonnegative radial function under suitable condition on $K$. We prove the existence of positive multi-peak solutions for $μ>0$ small enough. All peaks of our solut…

Infinitely many counterexamples to a conjecture of Lov\'asz
Aida Abiad, Frederik Garbe, Xavier Povill, Christoph Spiegel
https://arxiv.org/abs/2506.21286

Infinitely many counterexamples to a conjecture of Lovász
Motivated by the well-known conjecture of Ryser which relates maximum matchings to minimum vertex covers in $r$-partite $r$-uniform hypergraphs, Lovász formulated a stronger conjecture. It states that one can always reduce the matching number by removing $r-1$ vertices. This conjecture was very recently disproven for $r=3$ by Clow, Haxell, and Mohar using the line graph of a $3$-regular graph of order $102$. Building on this, we describe a simple infinite family of counterexamples based on gen…

This https://arxiv.org/abs/2309.10997 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the Gromov-Hausdorff limits of Tori with Ricci conditions
Let $n\geq 4$. In this paper, we construct a sequence of smooth Riemannian metrics $g_i $ on $\mathbb{R}^n$ such that: (1) $g_i = g_{\rm Euc} $ outside the standard Euclidean unit ball $B_1 (0) \subset \mathbb{R}^n $, (2) ${\rm Ric}_{g_i} \geq -Λ$ and $ {\rm diam} \left( B_1 (0) ,g_i \right) \leq D $ for some $Λ,D>0$ independent of $i$, (3) The pointed Gromov-Hausdorff limit of $(\mathbb{R}^n ,g_i) $ is a topological orbifold but not a topological manifold. As a consequence, for $n\geq 4$, …

A Common Origin of Asymmetric Self-interacting Dark Matter and Dirac Leptogenesis
Manoranjan Dutta, Nimmala Narendra
https://arxiv.org/abs/2506.22388 https…

A Common Origin of Asymmetric Self-interacting Dark Matter and Dirac Leptogenesis
Assuming dark matter to be asymmetric as well as self-interacting and neutrinos to be Dirac fermions, we propose a framework to address the observed baryon imbalance of the universe. We add three right-handed neutrinos $ν_{R_i},\,{i=1,2,3}$, one singlet fermion $χ$, a doublet fermion $ψ$, and heavy scalar doublets $η_i,\,{i=1,2}$ to the Standard Model. Both $χ$ and $ψ$ are fermions with non-zero charge under an extended $U(1)_{B-L} \times U(1)_D$ symmetry. Additionally, a $\mathcal{Z}_2$ …

Subgraph Entropy
Tawfiq Ahmed, Tarik Aougab, Matt Clay
https://arxiv.org/abs/2506.18838 https://arxiv.org/pdf/2506.18838

Subgraph Entropy
Given $r \geq 3$, we prove that there exists $λ>0$ depending only on $r$ so that if $G$ is a metric graph of rank $r$ with metric entropy $1$, then there exists a proper subgraph $H$ of $G$ with metric entropy at least $λ$. This answers a question of the second two authors together with Rieck. We interpret this as a graph theoretic version of the Bers Lemma from hyperbolic geometry, and explain some connections to the pressure metric on the Culler-Vogtmann Outer Space.

Spectral trends across the rings and inner moons of Uranus and Neptune from JWST NIRCam images
M. M. Hedman, I. de Pater, R. Cartwright, M. El Moutamid, R. DeColibus, M. Showlater, M. S. Tiscareno, N. Rowe-Gurney, M. T. Roman, L. Fletcher, H. B. Hammel
https://arxiv.org/abs/2506.18650

Spectral trends across the rings and inner moons of Uranus and Neptune from JWST NIRCam images
JWST NIRCam images provide low-resolution spectra of the rings and inner moons orbiting Uranus and Neptune. These data reveal systematic variations in spectral parameters like the strength of the strong OH absorption band around 3 microns and the spectral slopes at continuum wavelengths. Neptune's rings show an extremely weak 3-micron band, which is likely due to the small particle sizes in these dusty rings. Neptune's small inner moons also have weaker 3-micron bands and redder continua than U…

The Hidden Symmetries of Yang-Mills Theory in (3 1)-dimensions
L. A. Ferreira, H. Malavazzi
https://arxiv.org/abs/2506.15832 https://…

The Hidden Symmetries of Yang-Mills Theory in (3+1)-dimensions
We show that classical, non-supersymmetric Yang-Mills theories coupled to spin-1/2 and spin-0 elementary matter fields, in (3+1)-dimensional Minkowski space-time, possess an exact integrability structure with an infinite number of conserved charges in involution. Such an integrability lives on the space of non-abelian electric and magnetic charges, and is based on flat connections in generalized loop spaces, presenting an R-matrix, and Sklyanin relation. We present two novel symmetries of Yang-…

Magnetic excitations in the 1/3 plateau state in InCu$_3$(OH)$_6$Cl$_3$
Moyu Kato, Hiroyuki K. Yoshida, R. Kumar, Yoshihiko Ihara
https://arxiv.org/abs/2506.05645

Magnetic excitations in the 1/3 plateau state in InCu$_3$(OH)$_6$Cl$_3$
Magnetic dynamics in InCu$_3$(OH)$_6$Cl$_3$ was investigated from the NMR relaxation rate measurement. In InCu$_3$(OH)$_6$Cl$_3$, the magnetization isotherm shows a plateau at the 1/3 of full-saturation magnetization, characterizing the 1/3 plateau state. As the 1/3 plateau state appears above 7 T upto 14 T, the microscopic magnetic properties were investigated with the NMR measurement in steady fields. The temperature and field dependence of $1/T_1$ measurement reveals a gap in the magnetic ex…

Quaternionic Analysis of Conformal Maps and the Willmore Functional
Ross Ogilvie, Martin Ulrich Schmidt
https://arxiv.org/abs/2506.17723 https://

Quaternionic Analysis of Conformal Maps and the Willmore Functional
Quaternionic analysis, which describes conformal maps from Riemann surfaces into $\mathbb{R}^3$ or $\mathbb{R}^4$, is extended to weakly conformal maps. As a consequence we present a new proof that on any compact Riemann surface $X$ the Willmore functional, the integral of the square of the mean curvature, attains a minimum on the space of smooth conformal maps from $X$ to $\mathbb{R}^3$ or $\mathbb{R}^4$. This was first proven by Kuwert and Schätzle under the assumption that the infimum of th…

Spectroscopic Analysis of Pictor II: a very low metallicity ultra-faint dwarf galaxy bound to the Large Magellanic Cloud
A. B. Pace (University of Virginia), T. S. Li, A. P. Ji, J. D. Simon, W. Cerny, A. M. Senkevich, A. Drlica-Wagner, K. Bechtol, C. Y. Tan, A. Chiti, D. Erkal, C. E. Mart\'inez-V\'azquez, P. S. Ferguson, R. G. Kron, K R. Atzberger, A. Chaturvedi, J. A. Frieman, N. Kallivayalil, G. Limberg, G. E. Medina, V. M. Placco, A. H. Riley, D. J. Sand, G. S. Stringfellow,…

Spectroscopic Analysis of Pictor II: a very low metallicity ultra-faint dwarf galaxy bound to the Large Magellanic Cloud
We present Magellan/IMACS and Magellan/MIKE spectroscopy of the ultra-faint dwarf (UFD) galaxy Pictor~II (Pic~II) that is located only 12 kpc from the Large Magellanic Cloud (LMC). From the IMACS spectroscopy, we identify 13 member stars and measure a mean heliocentric velocity of $326.9\pm1.1~{\rm km~s^{-1}}$, a velocity dispersion of $3.5_{-0.9}^{+1.1}~{\rm km~s^{-1}}$, a mean metallicity of $\overline{\rm [Fe/H]}=-2.99\pm0.06$, and an upper limit on the metallicity dispersion of $σ_{\rm [Fe…

Stability with minuscule structure for chromatic thresholds
Jaehoon Kim, Hong Liu, Chong Shangguan, Guanghui Wang, Zhuo Wu, Yisai Xue
https://arxiv.org/abs/2506.14748

Stability with minuscule structure for chromatic thresholds
The chromatic threshold $δ_χ(H)$ of a graph $H$ is the infimum of $d>0$ such that the chromatic number of every $n$-vertex $H$-free graph with minimum degree at least $d n$ is bounded by a constant depending only on $H$ and $d$. Allen, B{ö}ttcher, Griffiths, Kohayakawa, and Morris determined the chromatic threshold for every $H$; in particular, they showed that if $χ(H)=r\ge 3$, then $δ_χ(H) \in\{\frac{r-3}{r-2},~\frac{2 r-5}{2 r-3},~\frac{r-2}{r-1}\}$. While the chromatic thresholds have…

This https://arxiv.org/abs/2412.05757 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Global existence of weak solutions to incompressible anisotropic Cahn-Hilliard-Navier-Stokes system
We study the anisotropic, incompressible Cahn-Hilliard-Navier-Stokes system with variable density in a bounded smooth domain $Ω\subset \mathbb{R}^d$. This work extends previous studies on the isotropic case by incorporating anisotropic surface energy, represented by $\mathfrak{F}= \int_Ω \fracε{2}\, Γ^2(\nabla ϕ) $. The thermodynamic consistency of this system, as well as its modeling background and physical motivation, has been established in [3,5,7]. Using a Galerkin approximation scheme…

Minimal hypergraph non-jumps
Benedict Randall Shaw
https://arxiv.org/abs/2506.09620 https://arxiv.org/pdf/2506.09620

Minimal hypergraph non-jumps
An $r$-uniform hypergraph, or $r$-graph, has density $|E(G)|/|V(G)^{(r)}|$. We say $α$ is a jump for $r$-graphs if there is some constant $δ=δ(α)$ such that, for each $\varepsilon>0$ and $n\geq r$, any sufficiently large $r$-graph of density at least $\varepsilon$ has a subgraph of order $n$ and density at least $α+δ$. For $r=2$, all $α$ are jumps. For $r\geq 3$, Erdős showed all $[0,\frac{r!}{r^r})$ are jumps, and conjectured all $[0,1)$ are jumps. Since then, a var…

Shi-type and Hamilton-type gradient estimates for a general parabolic equation under compact Finsler $CD(-K,N)$ geometric flows
Yijie Miao, Bin Shen
https://arxiv.org/abs/2506.14776

Shi-type and Hamilton-type gradient estimates for a general parabolic equation under compact Finsler $CD(-K,N)$ geometric flows
Recently, the Li-Yau-type gradient estimates for positive solutions to parabolic equations \begin{equation} \partial_t u=Δu+\mathcal{R}_1u+\mathcal{R}_2u^α+\mathcal{R}_3u(\log u)^β,\notag \end{equation} under the general compact Finsler $CD(-K,N)$ geometric flow are studied. Here $\mathcal{R}_1$,$\mathcal{R}_2$,$\mathcal{R}_3$ $\in$ $ C^{1}(M,[0,T])$, $α$ and $β$ are both positive constants, $T$ is the maximal existence time for the flow. However, compared with the Riemannian ca…

The MALATANG survey: Dense gas distribution on sub-kiloparsec scales across the disk of M82
Jian-Fa Wang, Yu Gao, Xue-Jian Jiang, Li Ji, Zhi-Yu Zhang, Jun-Zhi Wang, Jun-Feng Wang, R. Thomas Greve, Yan Jiang, Ashley Bemis, Elias Brinks, Aeree Chung, J. Malcolm Currie, Richard de Grijs, Taotao Fang, C. Luis Ho, Bumhyun Lee, Satoki Matsushita, Micha{\l} Micha{\l}owski, Soojong Pak, Panomporn Poojon, G. Mark Rawlings, Amelie Saintonge, Yi-Chen Sun, Jing Zhou

The MALATANG survey: Dense gas distribution on sub-kiloparsec scales across the disk of M82
We present observations of HCN J=4-3 and HCO^+ J=4-3 lines obtained with the James Clerk Maxwell Telescope as part of the MALATANG survey, combined with archival HCN J=1-0 and HCO^+ J=1-0 data from the Green Bank Telescope, to study the spatial distribution and excitation conditions of dense molecular gas in the disk of M82. We detect HCN J=4-3 and HCO^+ J=4-3 emission within the central region (< 500 pc) of the galaxy, while the J=1-0 emission lines exhibit a more extended spatial distribution…

Local Wellposedness and Global Weak Solutions of the Pauli-Darwin/Poisswell Equations
Pierre Germain, Norbert J. Mauser, Jakob M\"oller
https://arxiv.org/abs/2506.22333

Local Wellposedness and Global Weak Solutions of the Pauli-Darwin/Poisswell Equations
We construct local (in time) strong solutions in $H^s(\mathbb{R}^3)$, $s>3/2$ and global weak solutions with finite energy for the Pauli-Darwin equation and the Pauli-Poisswell equation. These are the first rigorous results on these two models, which couple a 2-spinor with an electromagnetic field. The proofs rely on energy estimates for the strong solutions and compactness with an appropriate regularization for the weak solutions.

Global regularity and incompressible limit of 2D compressible Navier-Stokes equations with large bulk viscosity
Shengquan Liu, Jianwen Zhang
https://arxiv.org/abs/2506.22235

Global regularity and incompressible limit of 2D compressible Navier-Stokes equations with large bulk viscosity
In this paper, we study the global regularity of large solutions with vacuum to the two-dimensional compressible Navier-Stokes equations on $\mathbb{T}^{2}=\mathbb{R}^{2}/\mathbb{Z}^{2}$, when the volume (bulk) viscosity coefficient $ν$ is sufficiently large. It firstly fixes a flaw in [10, Proposition 3.3], which concerns the $ν$-independent global $t$-weighted estimates of the solutions. Amending the proof requires non-trivially mathematical analysis. As a by-product, the incompressible lim…

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$
Sisi Huang, Xiaohua Yao
https://arxiv.org/abs/2506.23119 http…

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$
It is known that the discrete Laplace operator $Δ$ on the lattice $\mathbb{Z}$ satisfies the following sharp time decay estimate: $$\big\|e^{itΔ}\big\|_{\ell^1\rightarrow\ell^{\infty}}\lesssim|t|^{-\frac{1}{3}},\quad t\neq0,$$ which is slower than the usual $ O(|t|^{-\frac{1}{2}})$ decay in the continuous case on $\mathbb{R}$. However, this paper shows that the discrete bi-Laplacian $Δ^2$ on $\mathbb{Z}$ actually exhibits the same sharp decay estimate $|t&#…

On Growth of Sobolev norms for cubic Schr\"odinger equation with harmonic potential in dimensions $d=2,3$
Yilin Song, Ruixiao Zhang, Jiqiang Zheng
https://arxiv.org/abs/2506.17731

On Growth of Sobolev norms for cubic Schrödinger equation with harmonic potential in dimensions $d=2,3$
In this article, we study the growth of higher-order Sobolev norms for solutions to the defocusing cubic nonlinear Schrödinger equation with harmonic potential in dimensions $d=2,3$, \begin{align}\label{PNLS} \begin{cases}\tag{PNLS} i\partial_tu-Hu=|u|^{2}u,&(t,x)\in\mathbb{R}\times\mathbb{R}^d,\\ u(0,x)=u_0(x), \end{cases} \end{align} where $H=-Δ+|x|^2$. Motivated by Planchon-Tzvetkov-Visciglia [Rev. Mat. Iberoam., 39 (2023), 1405-1436], we first establish the bilinear St…