Tootfinder

Ukrainian Forces gain the upper hand in Sumy region amidst Russian struggles: https://benborges.xyz/2025/07/14/ukrainian-forces-gain-the-upper.html

🇺🇦 #NowPlaying on KEXP's #MorningShow
Yard Act:
🎵 Fixer Upper
#YardAct
https://yardact.bandcamp.com/album/fixer-upper-the-trappers-pelts
https://open.spotify.com/track/2pItEWp24mkylZsocM6oIc

Saw a cyclist in front of me today (riding shirtless) who had a Vitruvian Man tattooed on his upper back…with the wrong ratios. *head desk*

Upper tail distributions of central $L$-values of quadratic twists of elliptic curves at the variance scale
Mr Nathan Creighton
https://arxiv.org/abs/2507.08640

Upper tail distributions of central $L$-values of quadratic twists of elliptic curves at the variance scale
We consider the large deviations at the order of the variance for the central value of a family of $L$-functions among the members with bounded discriminant. When there is an upper bound on an integer moment of the central value twisted by a short Dirichlet polynomial, we can establish upper bounds on the density of members exhibiting a large central value. We adapt the techniques from Arguin and Bailey for large deviations of the Riemann zeta function to prove results on the degree two family …

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
Arnasli Yahya, Jen\H{o} Szirmai
https://arxiv.org/abs/2506.11682

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
In this paper, we study the problem of hyperball (hypersphere) packings in $n$-dimensional hyperbolic space ($n \ge 4$). We prove that to each $n$-dimensional congruent saturated hyperball packing, there is an algorithm to obtain a decomposition of $n$-dimensional hyperbolic space $\mathbb{H}^n$ into truncated simplices. We prove, using the above method and the results of the paper \cite{M94}, that the upper bound of the density for saturated congruent hyperball packings, related to the corresp…

When autism is genuine and @… becomes a hobby, you end up creating this new flag for https://nsf-iaa.org. Lmao.

Common Raven, collecting nesting material. Descanso Gardens, La Canada Flintridge, California, USA. April, 2023. #descansogardens #bird #birds

Path-filtration for modal logics applied to revisiting quasi-dense logics
Olivier Gasquet
https://arxiv.org/abs/2507.11258 https://ar…

Path-filtration for modal logics applied to revisiting quasi-dense logics
In https://arxiv.org/pdf/2405.10094 (also published at LICS'24 conference), Lyon and Ostropolski-Nalewaja answer the question of the decidability of quasi-dense modallogics, and give an upper bound in EXPSPACE. Unfortunately, their intricate proof contains a major flaw that cannot be fixed, leaving the question wide open. In this paper we provide a correct and rather simple and direct proof of it by introducing a new variant of the well-know filtration method based on paths in a canonical model…

Upper cluster structure on Kac--Moody Richardson varieties
Huanchen Bao, Jeff York Ye
https://arxiv.org/abs/2506.10382 https://arxiv.…

Upper cluster structure on Kac--Moody Richardson varieties
We show coordinate rings of open Richardson varieties are upper cluster algebras for any symmetrizable Kac--Moody type. We further show the coordinate rings of (generalized) open Richardson varieties on the twisted product of flag varieties are upper cluster algebras for any symmetrizable Kac--Moody type. This includes, as special cases, reduced double Bruhat cells, Bott-Samelson varieties, braid varieties. Our results generalize various results by Casals--Gorsky--Gorsky--Le--Shen--Simental and…

Strength of the Upper Bounds for the Edge-Weighted Maximum Clique Problem
Fabio Ciccarelli, Valerio Dose, Fabio Furini, Marta Monaci
https://arxiv.org/abs/2507.06898

Strength of the Upper Bounds for the Edge-Weighted Maximum Clique Problem
We theoretically and computationally compare the strength of the two main upper bounds from the literature on the optimal value of the Edge-Weighted Maximum Clique Problem (EWMCP). We provide a set of instances for which the ratio between either of the two upper bounds and the optimal value of the EWMCP is unbounded. This result shows that neither of the two upper bounds can give a performance guarantee. In addition, we provide two sets of instances for which the ratio between the two upper bou…

The #reentry of the Chinese Zhuque-2E upper stage 2025-103G over Kazachstan on 5 June 2025: https://sattrackcam.blogspot.com/2025/06/the-reentry-of-chinese-zhuque-2e-upper.html - this had caused even more confusion and excitement than usual ...

Triangular solutions to a Riemann-Hilbert problem from superelliptic curves
Anwar Al Ghabra, Benjamin Pich\'e, Vasilisa Shramchenko
https://arxiv.org/abs/2507.10692

Triangular solutions to a Riemann-Hilbert problem from superelliptic curves
We give fundamental solutions of arbitrarily sized matrix Fuchsian linear systems, in the case where the coefficients $B^{(i)}$ of the systems are matrix solutions of the Schlesinger system that are upper triangular, and whose eigenvalues follow an arithmetic progression of a rational difference. The values on the superdiagonals of the matrices $B^{(i)}$ are given by contour integrals of meromorphic differentials defined on Riemann surfaces obtained by compactification of superelliptic curves.

Duality and Infinite Distance Limits in Asymmetric Freely Acting Orbifolds
George Gkountoumis, Chris Hull, Guo-En Nian, Stefan Vandoren
https://arxiv.org/abs/2506.11699

Duality and Infinite Distance Limits in Asymmetric Freely Acting Orbifolds
We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in four dimensions with eight supercharges. Their low energy effective field theories resemble $STU$ models, but have different duality groups: the orbifold's free action reduce the duality groups to congruence subgroups of the modular group. The fundamental domain is consequently larger and contains new interesting points at infinite distance on the real axis bounding the upper half plane. We v…

Bears WR Rome Odunze worked on upper-body strength, ready to make Year 2 leap with Caleb Williams

https://www.cbssports.com/nfl/news/bears-w

Torsion in a rotating coupled cylinder with different coupling conditions: stress, displacement and approximating a damaged cylinder
Igor Istenes, Daniel Peck, Yuriy Protserov, Natalya Vaysfeld, Zinaida Zhuravlova
https://arxiv.org/abs/2506.11582

Torsion in a rotating coupled cylinder with different coupling conditions: stress, displacement and approximating a damaged cylinder
The torsion loading of a coupled cylinder, whose distinct upper and lower cylindrical sections may be composed of different materials, is considered. The bottom of the cylinder is fixed in place, and induces the cylinder rotation. The torsion is applied via an arbitrary loading on the upper face. Three forms of coupling condition between the upper and lower cylinders are outlined: ideal, soft (weak), and rigid (hard/ stiff) contact. The resulting displacements and tangential stresses are obtain…

Constraints on Kinetic Mixing of Dark Photons from Dilepton Spectra
A. W. Romero Jorge, E. Bratkovskaya, T. Song, L. Sagunski
https://arxiv.org/abs/2507.11163

Constraints on Kinetic Mixing of Dark Photons from Dilepton Spectra
Dark photons, the hypothetical gauge bosons associated with an additional $U(1)^{\prime}$ symmetry, can couple to Standard Model particles through a small kinetic mixing parameter $\varepsilon$ with the ordinary photon. This mechanism provides a portal between the dark sector and visible matter. In this study, we present a procedure to derive theoretical upper bounds on the kinetic mixing parameter $\varepsilon^2(M_U)$ by analyzing dilepton spectra from heavy-ion collisions across a broad energ…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): IV. Dust and Gas Disk Properties in the Upper Scorpius Star-forming Region
Carolina Agurto-Gangas, L. M. P\'erez, Anibal Sierra, James Miley, Ke Zhang, Ilaria Pascucci, Paola Pinilla, Dingshan Deng, John Carpenter, Leon Trapman, Miguel Vioque, Giovanni P. Rosotti, Nicol\'as Kurtovic, Lucas A. Cieza, Kamber Schwarz, Michiel R. Hogerheijde, Rossella Anania, Beno\^it Tabone, Estephani E. Torres-Villanueva, Dary A.…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): IV. Dust and Gas Disk Properties in the Upper Scorpius Star-forming Region
The Atacama Large Millimeter/submillimeter Array (ALMA) large program AGE-PRO explores protoplanetary disk evolution by studying gas and dust across various ages. This work focuses on ten evolved disks in Upper Scorpius, observed in dust continuum emission, CO and its isotopologues, and N$_2$H$^+$ with ALMA Bands 6 and 7. Disk radii, from the radial location enclosing 68% of the flux, are comparable to those in the younger Lupus region for both gas and dust tracers. However, solid masses are ab…

The Origin of the Gauge Theories of Glassy Systems
Son L. D., Vasin M. G
https://arxiv.org/abs/2507.09589 https://arxiv.org/pdf/2507.…

The Origin of the Gauge Theories of Glassy Systems
The analytical model of a glass-forming system is formulated within the formalism analogous to gauge theory constructions in quantum field theory. This work explores the scope of the proposed approach and investigates the equilibrium behavior of the model under the mean-field approximation. The analysis reveals three possible equilibrium scenarios, only one of which exhibits strong glass-forming ability. Additionally, an upper limit for the initial temperature is identified, beyond which quench…

Nonlinear Joint Spectral Radius
Piero Deidda, Nicola Guglielmi, Francesco Tudisco
https://arxiv.org/abs/2507.11314 https://arxiv.org/…

Nonlinear Joint Spectral Radius
We introduce a nonlinear extension of the joint spectral radius (JSR) for switched discrete-time dynamical systems governed by sub-homogeneous and order-preserving maps acting on cones. We show that this nonlinear JSR characterizes both the asymptotic stability of the system and the divergence or convergence rate of trajectories originating from different points within the cone. Our analysis establishes upper and lower bounds on the nonlinear JSR of a sub-homogeneous family via the JSRs of two …

Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
An upper bound for the GSV-index of a foliation
https://

Upper Bound on Quantum Fisher Information in Pseudo-Hermitian Systems
Ievgen I. Arkhipov, F. Nori, \c{S}. K. \"Ozdemir
https://arxiv.org/abs/2506.09763

Upper Bound on Quantum Fisher Information in Pseudo-Hermitian Systems
Non-Hermitian systems have attracted considerable interest over the last few decades due to their unique spectral and dynamical properties not encountered in Hermitian counterparts. An intensely debated question is whether non-Hermitian systems, described by pseudo-Hermitian Hamiltonians with real spectra, can offer enhanced sensitivity for parameter estimation when they are operated at or close to exceptional points. However, much of the current analysis and conclusions are based on mathematic…

A criterion of contractivity for four by four upper-triangular matrices
Axel Renard (LPP)
https://arxiv.org/abs/2506.10485 https://ar…

A criterion of contractivity for four by four upper-triangular matrices
We establish an explicit criterion for determining whether a $4 \times 4$ upper-triangular matrix is a contraction with respect to the Euclidean operator norm.

Charge Modulation in the Vortex Halo of a Superconductor Enhances its Critical Magnetic Field
Anurag Banerjee, Catherine P\'epin, Nandini Trivedi, Amit Ghosal
https://arxiv.org/abs/2506.11195

Charge Modulation in the Vortex Halo of a Superconductor Enhances its Critical Magnetic Field
When an orbital magnetic field suppresses superconductivity, forming periodic vortices in type-II superconductors, subdominant orders can emerge in the vortex cores. Rather than competing with superconductivity, we find that the emergent charge order within the halo of a vortex makes superconductivity more robust by enhancing the upper critical field. We establish that charge modulations nucleate in and around the vortex core for model parameters dictated by the underlying non-superconducting s…

ILT-Iterative LoRA Training through Focus-Feedback-Fix for Multilingual Speech Recognition
Qingliang Meng, Hao Wu, Wei Liang, Wei Xu, Qing Zhao
https://arxiv.org/abs/2507.08477

ILT-Iterative LoRA Training through Focus-Feedback-Fix for Multilingual Speech Recognition
The deep integration of large language models and automatic speech recognition systems has become a promising research direction with high practical value. To address the overfitting issue commonly observed in Low-Rank Adaptation (LoRA) during the supervised fine-tuning (SFT) stage, this work proposes an innovative training paradigm Iterative LoRA Training (ILT) in combination with an Iterative Pseudo Labeling strategy, effectively enhancing the theoretical upper bound of model performance. Bas…

Hey, Jörg Schoppmeyer opened his talk at the #SolarEclipse Conference in Leuven on imaging annular eclipses without filters with one of my Australian pictures from 1999 (upper right): see https://geocities.restorativland.org/CapeCanaveral/5599/aus99/story.html for how they originated. Schoppmeyer's video https://www.youtube.com/watch?v=lbtQrHdl5Og of the 2023 ASE actually found scientific use: https://www.iota-es.de/JOA/JOA2024_2.pdf#page=3 (once again confirming the larger solar diameter https://scicomm.xyz/@cosmos4u/114681336115327260 had determined by an entirely different technique). 6/n

Reilly inequality for Varifolds
Jean-Fran\c{c}ois Grosjean, Antoine Lemenant, R\'emy Mougenot
https://arxiv.org/abs/2507.08354 https://

Reilly inequality for Varifolds
The famous Reilly inequality gives an upper bound for the first eigenvalue of the Laplacian defined on compact submanifolds of the Euclidean space in terms of the $L^2$-norm of the mean curvature vector. In this paper, we generalize this inequality in a Varifold context. In particular we generalize it for the class of $H(2)$ varifolds and for polygons and we analyse the equality case.

On Hodge--Witt cohomology of Drinfeld's upper half space over a finite field
Mattia Tiso
https://arxiv.org/abs/2506.06246 https://

On Hodge--Witt cohomology of Drinfeld's upper half space over a finite field
In this dissertation we study the Hodge-Witt cohomology of the $d$-dimensional Drinfeld's upper half space $\mathcal{X} \subset \mathbb{P}_k^d$ over a finite field $k$. We consider the natural action of the $k$-rational points $G$ of the linear group $\mathrm{GL}_{d+1}$ on $H^0(\mathcal{X},\mathrm{W}_nΩ_{\mathbb{P}_k^d}^i)$, making them natural $\mathrm{W}_n(k)[G]$-modules. To study these representations, we introduce a theory of differential operators over the Witt vectors for smooth $k$-sche…

Hmm… maybe I should pickup a watch with a "California Dial". 🤔
P.S. For those unfamiliar with this dial layout or even those who have seen it but wondered WTF is going on, this is a nice summary:
https://revolutionwatch.com/california-love/

California Love
With its mix of Roman and Arabic numerals, the so-called California dial has become one of the most sought-after Rolex watches of the modern era.

We had a really boring all-white powder room and decided to give it a little pizzazz.
#Photography

Baby's first unun!
My #AmateurRadio journey continues with making some of my own equipment...
I wanted to be able to connect either an EFHW or an EFRW to my KX3, but move the actual antenna away from the radio, so that I can POTA with other people close enough to talk, while keeping the antennas for the different out of each others' near field so they don't interere. To …

Unobtrusive Reflectance Photoplethysmography for Detecting and Severity Grading of Sleep Apnea via Oxygen Desaturation Index
Karen Adam, Cl\'ementine Aguet, Patrick Theurillat, Florent Baty, Maximilian Boesch, Damien Ferrario, Mathieu Lemay, Martin Brutsche, Fabian Braun
https://arxiv.org/abs/2507.08399

Unobtrusive Reflectance Photoplethysmography for Detecting and Severity Grading of Sleep Apnea via Oxygen Desaturation Index
Sleep apnea is a common chronic sleep-related disorder which is known to be a comorbidity for cerebro- and cardio-vascular disease. Diagnosis of sleep apnea usually requires an overnight polysomnography at the sleep laboratory. In this paper, we used a wearable device which measures reflectance photoplethysmography (PPG) at the wrist and upper arm to estimate continuous SpO2 levels during sleep and subsequently derive an oxygen desaturation index (ODI) for each patient. On a cohort of 170 patie…

On the Parallel Complexity of Finding a Matroid Basis
Sanjeev Khanna, Aaron Putterman, Junkai Song
https://arxiv.org/abs/2507.08194 https://

On the Parallel Complexity of Finding a Matroid Basis
A fundamental question in parallel computation, posed by Karp, Upfal, and Wigderson (FOCS 1985, JCSS 1988), asks: \emph{given only independence-oracle access to a matroid on $n$ elements, how many rounds are required to find a basis using only polynomially many queries?} This question generalizes, among others, the complexity of finding bases of linear spaces, partition matroids, and spanning forests in graphs. In their work, they established an upper bound of $O(\sqrt{n})$ rounds and a lower b…

Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^*) M_X$ decays
Alexander Berezhnoy, Wolfgang Lucha, Dmitri Melikhov
https://arxiv.org/abs/2507.10801

Probing vector- vs scalar-mediator dark-matter scenarios in $B\to (K,K^*) M_X$ decays
Within the hypothesis of the dark-matter origin of the excess in $B\to K M_X$ decays over the standard-model expectation, observed by Belle-II, we show that: (i) Scalar- and vector-medator scenarios may be unambiguously discriminated by measuring the differential distributions in $B\to K M_X$ and $B\to K^* M_X$ decays. (ii) Combining the available data on $Γ(B\to K M_X)$ and the upper limit on $Γ(B\to K^* M_X)$ provides a tight constraint on the vector mediator mass $M_V\lesssim 3$ GeV. At th…

Walk Matrix-Based Upper Bounds on Generalized Cospectral Mates
Muhammad Raza, Mudassir Shabbir, Waseem Abbas
https://arxiv.org/abs/2507.06927 https://

Walk Matrix-Based Upper Bounds on Generalized Cospectral Mates
The problem of characterizing graphs determined by their spectrum (DS) or generalized spectrum (DGS) has been a longstanding topic of interest in spectral graph theory, originating from questions in chemistry and mathematical physics. While previous studies primarily focus on identifying whether a graph is DGS, we address a related yet distinct question: how many non-isomorphic generalized cospectral mates a graph can have? Building upon recent advances that connect this question to the propert…

ULC: A Unified and Fine-Grained Controller for Humanoid Loco-Manipulation
Wandong Sun, Luying Feng, Baoshi Cao, Yang Liu, Yaochu Jin, Zongwu Xie
https://arxiv.org/abs/2507.06905

ULC: A Unified and Fine-Grained Controller for Humanoid Loco-Manipulation
Loco-Manipulation for humanoid robots aims to enable robots to integrate mobility with upper-body tracking capabilities. Most existing approaches adopt hierarchical architectures that decompose control into isolated upper-body (manipulation) and lower-body (locomotion) policies. While this decomposition reduces training complexity, it inherently limits coordination between subsystems and contradicts the unified whole-body control exhibited by humans. We demonstrate that a single unified policy …

My head hurts. At least they are trying.
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One of the young starlings, now quite independent.

Symmetry and Thermodynamic Bounds on Cross-Coupling Transport in Chiral Liquid Crystals
Shunsuke Takano, Takuya Nakanishi, Kenta Nakagawa, Toru Asahi
https://arxiv.org/abs/2507.08225

Symmetry and Thermodynamic Bounds on Cross-Coupling Transport in Chiral Liquid Crystals
We reformulate the Leslie effects that describe the dynamic cross-couplings in chiral liquid crystals driven by the transport of heat, electric charge, and mass. The Ericksen--Leslie model is extended in the linear response framework by representing nematic order with the Q-tensor. Subsequently, the thermodynamic uncertainty relation is applied to identify the upper bounds of the Leslie cross-coupling coefficients. We reveal that the cross-coupling coefficients are dependent on the scalar order…

Commitment Schemes for Multi-Party Computation
Ioan Ionescu, Ruxandra F. Olimid
https://arxiv.org/abs/2506.10721 https://arxiv.org/pd…

Commitment Schemes for Multi-Party Computation
The paper presents an analysis of Commitment Schemes (CSs) used in Multi-Party Computation (MPC) protocols. While the individual properties of CSs and the guarantees offered by MPC have been widely studied in isolation, their interrelation in concrete protocols and applications remains mostly underexplored. This paper presents the relation between the two, with an emphasis on (security) properties and their impact on the upper layer MPC. In particular, we investigate how different types of CSs …

Remarkable upper bounds for the interpolation error constants on the triangles
Kenta Kobayashi
https://arxiv.org/abs/2507.04032 https://

Remarkable upper bounds for the interpolation error constants on the triangles
We introduce remarkable upper bounds for the interpolation error constants on triangles, which are sharp and given by simple formulas. These constants are crucial in analyzing interpolation errors, particularly those associated with the Finite Element Method. In this study, we proved boundness via the numerical verification method and asymptotic analysis. This study is also essential in that it demonstrates a valuable application of the numerical verification method. The proof process of this s…

Upper gallery above the north transept, Wells Cathedral, Somerset, April 2025
#photography #heritagephotography #documentingplaces

Upper Expected Meeting Times for Interdependent Stochastic Agents
Marco Sangalli, Erik Quaeghebeur, Thomas Krak
https://arxiv.org/abs/2507.07626 https://…

Upper Expected Meeting Times for Interdependent Stochastic Agents
We analyse the problem of meeting times for interdependent stochastic agents: random walkers whose behaviour is stochastic but controlled by their selections from some set of allowed actions, and the inference problem of when these agents will be in the same state for the first time. We consider the case where we are epistemically uncertain about the selected actions of these agents, and show how their behaviour can be modelled using imprecise Markov chains. This allows us to use results and al…

Testen statistischer Funktionale f\"ur Zweistichprobenprobleme
Vladimir Ostrovski
https://arxiv.org/abs/2507.08373 https://arxiv…

Testen statistischer Funktionale für Zweistichprobenprobleme
The theory of testing statistical functionals is developed for non-parametric two-sample problems. For differentiable real-valued statistical functionals, some tests for the one-sided and two-sided cases are proposed and studied. The asymptotic power function is computed along implicit alternatives and hypotheses and compared with upper bounds for the power functions of tests for limit experiments. It is shown that the proposed tests are locally asymptotically most powerful under weak assumptio…

Love the ACFC tifo from pride night on Saturday.
#NWSL #AngelCityFC

i saw this in a krugman post:
Recently the West Side Rag, my ultra-local news source, ran an article titled “The Upper West Side: A Neighborhood for Independent Minds.” Lots of interesting history, but frankly my first reaction was “Yeah, independent minds who can afford to pay $1600 a square foot for housing.”
meanwhile my next door neigbor just got halfway-to-new-york-ridiculous per sq ft. in ann arbor for pete's sake

Beamforming with Random Projections: Upper and Lower Bounds
Manan Mittal, Ryan M. Corey, Andrew C. Singer
https://arxiv.org/abs/2507.05662 https://

Beamforming with Random Projections: Upper and Lower Bounds
Beamformers often trade off white noise gain against the ability to suppress interferers. With distributed microphone arrays, this trade-off becomes crucial as different arrays capture vastly different magnitude and phase differences for each source. We propose the use of multiple random projections as a first-stage preprocessing scheme in a data-driven approach to dimensionality reduction and beamforming. We show that a mixture beamformer derived from the use of multiple such random projection…

I love how smart these AI technologies are. They understand that "bigger" for cities can be ambiguous, refer to either the population or the area. It's also great that it's showing the sources in the upper corner, and displaying the basic facts.
Small minus on consistency and correctness, but other than that, really a great answer.
#google

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): VIII. The impact of external photoevaporation on disk masses and radii in Upper Scorpius
Rossella Anania, Giovanni P. Rosotti, Mat\'ias G\'arate, Paola Pinilla, Miguel Vioque, Leon Trapman, John Carpenter, Ke Zhang, Ilaria Pascucci, Lucas A. Cieza, Anibal Sierra, Nicolas T. Kurtovic, James Miley, Laura M. P\'erez, Ben\^oit Tabone, Michiel Hogerheijde, Dingshan Deng, Carolina Agurto-Gangas, Dary A. Ruiz-Rodr…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): VIII. The impact of external photoevaporation on disk masses and radii in Upper Scorpius
Protoplanetary disk evolution can be deeply influenced by the UV radiation emitted by neighboring massive stars (mainly of spectral type O and B). We show that the process of external photoevaporation, which causes an outside-in depletion of disk material due to environmental UV radiation, can lead to a significant decrease in disk size, and moderate in disk mass and lifetime even at moderate irradiation levels (1-10 G$_{0}$). In this work we investigate the role of external photoevaporation in…

This https://arxiv.org/abs/2408.12206 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Upper bounds for dimensions of singularity categories and their annihilators
Let $R$ be a commutative noetherian ring. Denote by $\operatorname{mod} R$ the category of finitely generated $R$-modules and by $\operatorname{D^b}(R)$ the bounded derived category of $\operatorname{mod} R$. In this paper, we first investigate localizations and annihilators of Verdier quotients of $\operatorname{D^b}(R)$. After that, we explore upper bounds for the dimension of the singularity category of $R$ and its (strong) generators. We extend a theorem of Liu to the case where $R$ is neit…

Constraints on cosmological gravitational waves from CMB and BAO in light of dynamical dark energy
Sai Wang, Zhi-Chao Zhao
https://arxiv.org/abs/2507.06930

Constraints on cosmological gravitational waves from CMB and BAO in light of dynamical dark energy
In this work, we derive upper limits on the physical energy-density fraction today of cosmological gravitational waves, denoted by $Ω_{\rm{gw}}h^{2}$, by combining \emph{Planck} \& ACT \& SPT CMB data with DESI BAO data. In the standard cosmological model, we establish 95\% CL upper limits of $Ω_{\rm{gw}}h^{2} < 1.0 \times 10^{-6}$ for adiabatic initial conditions and $Ω_{\rm{gw}}h^{2} < 2.7 \times 10^{-7}$ for homogeneous initial conditions. In light of dynamical dark energy, we get $Ω_{\r…

Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
Christian Puntini
https://arxiv.org/abs/2506.10454 https://arxiv.org/pdf/2…

Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
Starting from the Navier-Stokes equation in the $f$-plane approximation, we provide an exact and explicit solution of the governing equations at leading order for fluid flows in the upper layer of the ocean, driven by a wind stress. Such a solution highlights the presence of a mean Ekman current superimposed to trochoidal oscillations and a background geostrophic current.

The Initial Mass Function of Stars and Brown Dwarfs in the Upper Sco Association
K. L. Luhman
https://arxiv.org/abs/2505.21747 https://

The Initial Mass Function of Stars and Brown Dwarfs in the Upper Sco Association
I present infrared spectroscopy of 37 brown dwarf candidates in the Upper Sco association, 35 of which are classified as young and cool, making them likely members. This sample includes many of the faintest spectroscopically confirmed members ($K=16$-17 mag), which should have masses down to $\sim0.007$-0.01 $M_\odot$ for the range of ages in Upper Sco (7-14 Myr). Using my updated membership catalog for Upper Sco, I have estimated the initial mass function (IMF) for a field in the center of the…

More than a dozen summer camps dot the banks of the Guadalupe River and its tributaries,
a vast network of waterways twisting through the hills of Kerr County, Texas.
But many of the camps’ idyllic locales also face the danger of severe flooding,
since much of the land near the river is designated as a high-risk area by the Federal Emergency Management Agency.
In the most affected area, on the upper Guadalupe River in Kerr County, at least 13 summer camps lie next to…

See how FEMA maps reveal camps’ flood risks
Many camps in the Guadalupe river region are adjacent or are partially inside high-risk flood zones, according to maps from the Federal Emergency Management Agency.

Pushing the Limits of Extreme Weather: Constructing Extreme Heatwave Storylines with Differentiable Climate Models
Tim Whittaker, Alejandro Di Luca
https://arxiv.org/abs/2506.10660

Pushing the Limits of Extreme Weather: Constructing Extreme Heatwave Storylines with Differentiable Climate Models
Understanding the plausible upper bounds of extreme weather events is essential for risk assessment in a warming climate. Existing methods, based on large ensembles of physics-based models, are often computationally expensive or lack the fidelity needed to simulate rare, high-impact extremes. Here, we present a novel framework that leverages a differentiable hybrid climate model, NeuralGCM, to optimize initial conditions and generate physically consistent worst-case heatwave trajectories. Appli…

Large value estimates for Dirichlet polynomials, and the density of zeros of Dirichlet's $L$-functions
Bin Chen
https://arxiv.org/abs/2507.08296 https:…

Large value estimates for Dirichlet polynomials, and the density of zeros of Dirichlet's $L$-functions
It is proved that \[ \sum_{χ\bmod q}N(σ, T, χ) \lesssim_ε (qT)^{7(1-σ)/3+ε}, \] where $N(σ, T, χ)$ denote the number of zeros $ρ= β+ it$ of $L(s, χ)$ in the rectangle $σ\leq β\leq 1$, $|t| \leq T$. The exponent $7/3$ improves upon Huxley's earlier exponent of $12/5$. The key innovation lies in deriving a sharp upper bound for sums involving affine transformations with GCD twists, which emerges from our application of the Guth-Maynard method. As corollaries, we obtain two …

Efficient Task Graph Scheduling for Parallel QR Factorization in SLSQP
Soumyajit Chatterjee, Rahul Utkoor, Uppu Eshwar, Sathya Peri, V. Krishna Nandivada
https://arxiv.org/abs/2506.09463

Efficient Task Graph Scheduling for Parallel QR Factorization in SLSQP
Efficient task scheduling is paramount in parallel programming on multi-core architectures, where tasks are fundamental computational units. QR factorization is a critical sub-routine in Sequential Least Squares Quadratic Programming (SLSQP) for solving non-linear programming (NLP) problems. QR factorization decomposes a matrix into an orthogonal matrix Q and an upper triangular matrix R, which are essential for solving systems of linear equations arising from optimization problems. SLSQP uses …

Teaching special relativity in elementary physics or upper high school courses
Maria Grazia Blumetti, Biagio Buonaura, Giuseppe Giuliani, Marco Litterio
https://arxiv.org/abs/2506.07872

Teaching special relativity in elementary physics or upper high school courses
This paper aims to provide teachers with a tool to teach the essential features of special relativity, considering the students' difficulties highlighted by numerous studies. Our proposal presents special relativity as the solution to the troubles of Newtonian dynamics, exemplified by the infinities of Newtonian uniformly accelerated motion. The paper's main section uses thought experiments with the exchange of flashes of light of null duration between two inertial reference frames to derive th…

Systolic inequalities on the sphere from symplectic embeddings
Brayan Ferreira
https://arxiv.org/abs/2506.07674 https://arxiv.org/pdf…

Systolic inequalities on the sphere from symplectic embeddings
We use properties of symplectic capacities that were recently defined by Hutchings to obtain upper bounds on the minimal action of Reeb orbits on fiberwise star-shaped hypersurfaces $Σ\subset T^*S^2$. In addition, we introduce the notion of a fiberwise $β$-balanced hypersurface $Σ\subset T^*S^2$ and establish upper bounds for the systole in terms of $β$ and geometric data, in the case of Riemannian metrics on $S^2$ satisfying this property. Finally, under the assumption of antipodal symmetr…

Surface cleaning archives may be considered mundane but for people who pay attention, one can see all kinds of interesting things like this early style of #paperclip.
#VintageStationery

Urban Life 101 🏙️
城市生活 101 🏙️
📷 Nikon FE
🎞️Ilford FP4 Plus, expired 1995
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

An improved upper bound for the second eigenvalue on tori
Fan Kang
https://arxiv.org/abs/2506.05846 https://arxiv.org/pdf/2506.05846

An improved upper bound for the second eigenvalue on tori
In this paper, we consider the problem of maximizing the second non-zero eigenvalue $λ_2(T,g)$ of the Laplace-Beltrami operator on a torus $(T,g)$, among all unit-area metrics in a fixed conformal class. Based on work by Karpukhin-Stern and Eddaoudi-Girouard, we give an explicit upper bound for $λ_2(T,g)$ in a fixed conformal class of the torus. Our bound improves previous estimates based on conformal area and shows that, in the majority of conformal classes, the second eigenvalue is strictly…

Straight-line Orthogonal Drawing of Complete Ternary Tree Requires $O(n^{1.032})$ Area
Hong Duc Bui
https://arxiv.org/abs/2506.09269 https://

Straight-line Orthogonal Drawing of Complete Ternary Tree Requires $O(n^{1.032})$ Area
We resolve a conjecture posed by Covella, Frati and Patrignani by proving the straight-line orthogonal drawing of the complete ternary tree with $n$ nodes satisfying the subtree separation property with smallest area has area $Ω(n^{1.031})$. We also improve the upper bound of this area to $O(n^{1.032})$.

Electron mobility in AlN from first principles
Amanda Wang, Nick Pant, Woncheol Lee, Jie-Cheng Chen, Feliciano Giustino, Emmanouil Kioupakis
https://arxiv.org/abs/2506.09240

Electron mobility in AlN from first principles
Aluminum nitride is a promising ultra-wide band gap semiconductor for optoelectronics and power electronics. However, its practical applications have been limited by challenges with doping and achieving high electrical conductivity. Recent advances in crystal quality and defect control have led to improvements in experimentally measured mobilities. In this work, we apply first-principles calculations to determine the upper limits of the electron mobility in AlN as a function of temperature, dop…

Coherence monotones of quantum channels based on two generalized quantum relative entropies
Jiaorui Fan, Zhaoqi Wu, Shao-Ming Fei
https://arxiv.org/abs/2506.10810

Coherence monotones of quantum channels based on two generalized quantum relative entropies
By using the Choi-Jamiołkowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified $(r,s)$-relative entropy and the sandwiched Rényi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we present the upper bounds of the coherence monotones and derive the explicit formulas of the coherence monotones for qubit unitary channels.

Completeness of the space of absolutely and upper integrable functions with values in a semi-normed space
Rodolfo E. Maza
https://arxiv.org/abs/2506.05694 …

Completeness of the space of absolutely and upper integrable functions with values in a semi-normed space
This paper explores the absolute integrability of functions taking values in semi-normed spaces and locally convex topological vector spaces (LCTVS). We introduce an approach using upper integrals, inspired by previous work on integrals in these spaces. This method enables us to extend classical results from real-valued functions to LCTVS-valued functions. The paper demonstrates that the space of absolutely integrable functions forms a closed subspace within the framework of upper integrable …

Repelling curvature via $\epsilon-$repelling Laplacian on positive connected signed graphs
Yong Lin, Shi Wan
https://arxiv.org/abs/2506.10492 https://

Repelling curvature via $ε-$repelling Laplacian on positive connected signed graphs
The paper defines a positive semidefinite operator called $ε-$repelling Laplacian on a positive connected signed graph where $ε$ is an arbitrary positive number less than a constant $ε_0$ related to the graph's consensus problem. Then we investigate the upper bound of the second smallest eigenvalue of $ε-$repelling Laplacian. Besides, we use the pseudoinverse of $ε-$repelling Laplacian to construct a simplex as well as $ε-$repelling cost whose square root turns out to be a distance among …

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity
Lesi Chen, Chengchang Liu, Luo Luo, Jingzhao Zhang
https://arxiv.org/abs/2506.08362

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(ε^{-4/7})$ Second-Order Oracle Complexity
Previous algorithms can solve convex-concave minimax problems $\min_{x \in \mathcal{X}} \max_{y \in \mathcal{Y}} f(x,y)$ with $\mathcal{O}(ε^{-2/3})$ second-order oracle calls using Newton-type methods. This result has been speculated to be optimal because the upper bound is achieved by a natural generalization of the optimal first-order method. In this work, we show an improved upper bound of $\tilde{\mathcal{O}}(ε^{-4/7})$ by generalizing the optimal second-order method for convex optimizat…

Search for the charmonium weak decays $J/\psi\to D_{s}^{-}\rho^{ } c.c.$ and $J/\psi\to D_{s}^{-}\pi^{ } c.c.$
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.09386

Search for the charmonium weak decays $J/ψ\to D_{s}^{-}ρ^{+}+c.c.$ and $J/ψ\to D_{s}^{-}π^{+}+c.c.$
Based on $(10087\pm44)\times 10^6$ $J/ψ$ events recorded with the BESIII detector, we search for the rare charmonium weak decays $J/ψ\to D_{s}^{-}ρ^{+}+c.c.$ and $J/ψ\to D_{s}^{-}π^{+}+c.c.$ No signal is observed, and upper limits on the branching fractions at the $90\%$ confidence level are set as $\mathcal{B}(J/ψ\to D_{s}^{-}ρ^{+}+c.c.)<8.0\times10^{-7}$ and $\mathcal{B}(J/ψ\to D_{s}^{-}π^{+}+c.c.)<4.1\times10^{-7}$. Our results provide the most stringent experimental constraints on …

This https://arxiv.org/abs/2407.05630 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Enabling 6G Performance in the Upper Mid-Band by Transitioning From Massive to Gigantic MIMO
The initial 6G networks will likely operate in the upper mid-band (7-24 GHz), which has decent propagation conditions but underwhelming new spectrum availability. In this paper, we explore whether we can anyway reach the ambitious 6G performance goals by evolving the multiple-input multiple-output (MIMO) technology from massive in 5G to gigantic in 6G. We describe how many antennas are needed to reach the envisioned 6G peak user rates, how many can realistically be deployed in practical radio e…

Optimal bounds for the Kobayashi distance near $\mathcal C^2$-smooth boundary points
Nikolai Nikolov, Pascal J. Thomas
https://arxiv.org/abs/2506.06507 htt…

Optimal bounds for the Kobayashi distance near $\mathcal C^2$-smooth boundary points
It is shown that the optimal upper and lower bounds for the Kobayashi distance near $\mathcal C^{2,α}$-smooth strongly pseudoconvex boundary points obtained in L. Kosinski, N. Nikolov, A.Y. Okten: "Precise estimates of invariant distances on strongly pseudoconvex domains", Adv. Math. 478 (2025), 110388, remain true in the general $\mathcal C^2$ strongly pseudoconvex setting. In fact, the upper bound is extended to the general $\mathcal C^{1,1}$-smooth case. We also give upper and lower bounds …

Modelling intermediate internal waves with currents and variable bottom
Rossen Ivanov, Lyudmila Ivanova
https://arxiv.org/abs/2506.10123 https://

Modelling intermediate internal waves with currents and variable bottom
A model for internal interfacial waves between two layers of fluid in the presence of current and variable bottom is studied in the flat-surface approximation. Fluids are assumed to be incompressible and inviscid. Another assumption is that the upper layer is considerably deeper with a lower density than the lower layer. The fluid dynamics is presented in Hamiltonian form with appropriate Dirichlet-Neumann operators for the two fluid domains, and the depth-dependent current is taken into accoun…

Bounds on the minimum orbital period in the background of 5-dimensional charged black holes
Yan Peng
https://arxiv.org/abs/2506.21871 https://

Bounds on the minimum orbital period in the background of 5-dimensional charged black holes
In this paper, we study the upper and lower bounds on the minimum orbital period of 5-dimensional charged black holes. Our results indicate that the upper bound of the minimum orbital period corresponds to non-charged black holes, while the lower bound is achieved in the case of maximally charged black holes. We further establish precise analytical expressions for the upper and lower bounds of the minimum orbital period. Our findings provide valuable insights into 5-dimensional charged black ho…

Black-crowned night heron. LA Arboretum, Arcadia, California, USA. July, 2025. #laarboretum #heron #nightheron

Upper bound of the number of limit cycles for symmetric scalar piecewise linear differential equations with three zones
J. L. Bravo, V. Carmona, M. Fern\'andez, I. Ojeda
https://arxiv.org/abs/2507.06705

Upper bound of the number of limit cycles for symmetric scalar piecewise linear differential equations with three zones
The study of the dynamics of a continuous observable and non-controllable three-dimensional symmetric piecewise linear system with three zones can be reduced to the study of the existence of limit cycles for the piecewise differential equation $x'=ax+(b-a)\mathop{\rm sat}(x)+μ\sin t$, where $\operatorname{sat}$ stands for the normalized saturation function. This paper proves that the number of limit cycles of the equation is finite independently of $a,b,μ$. Moreover, it is proven that the max…

Crossing numbers of dense graphs on surfaces
Alfredo Hubard, Arnaud de Mesmay, Hugo Parlier
https://arxiv.org/abs/2506.09974 https://…

Crossing numbers of dense graphs on surfaces
In this paper, we provide upper and lower bounds on the crossing numbers of dense graphs on surfaces, which match up to constant factors. First, we prove that if $G$ is a dense enough graph with $m$ edges and $Σ$ is a surface of genus $g$, then any drawing of $G$ on $Σ$ incurs at least $Ω\left(\frac{m^2}{g} \log ^2 g\right)$ crossings. The poly-logarithmic factor in this lower bound is new even in the case of complete graphs and disproves a conjecture of Shahrokhi, Székely and Vrt'o from 19…

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin, Benjamin Schlein
https://arxiv.org/abs/2506.04153

Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz-Pines and Sawada.

An improved upper bound for the distribution of iterated Euler totient functions
Pei Gao, Qiyu Yang
https://arxiv.org/abs/2506.23882 https://

An improved upper bound for the distribution of iterated Euler totient functions
Let $ϕ(n)$ be the Euler totient function and $ϕ_k(n)$ its $k$-fold iterate. In this note, we improve the upper bound for the number of positive $n\leqslant x$ such that $ϕ_{k+1}(n)\geqslant cn$. Comparing with the upper bound which was obtained from Pollack's asymptotic formula of the summation of $ϕ_{k+1}(n)$ for $n\leqslant x$, we have successfully increased the denominator exponent of the main term of the upper bound from $k$ to $k+1$.

CLONE: Closed-Loop Whole-Body Humanoid Teleoperation for Long-Horizon Tasks
Yixuan Li, Yutang Lin, Jieming Cui, Tengyu Liu, Wei Liang, Yixin Zhu, Siyuan Huang
https://arxiv.org/abs/2506.08931

CLONE: Closed-Loop Whole-Body Humanoid Teleoperation for Long-Horizon Tasks
Humanoid teleoperation plays a vital role in demonstrating and collecting data for complex humanoid-scene interactions. However, current teleoperation systems face critical limitations: they decouple upper- and lower-body control to maintain stability, restricting natural coordination, and operate open-loop without real-time position feedback, leading to accumulated drift. The fundamental challenge is achieving precise, coordinated whole-body teleoperation over extended durations while maintain…

The EoR 21-cm Bispectrum at $z=8.2$ from MWA data I: Foregrounds and preliminary upper limits
Sukhdeep Singh Gill, Somnath Bharadwaj, Khandakar Md Asif Elahi, Shiv K. Sethi, Akash Kumar Patwa
https://arxiv.org/abs/2507.04964

The EoR 21-cm Bispectrum at $z=8.2$ from MWA data I: Foregrounds and preliminary upper limits
We attempt to measure the $z = 8.2$ Epoch of Reionization (EoR) 21-cm bispectrum (BS) using Murchison Widefield Array (MWA) $154.2~\mathrm{MHz}$ data. We find that $B(k_{1\perp}, k_{2\perp}, k_{3\perp}, k_{1\parallel}, k_{2\parallel})$ the 3D cylindrical BS exhibits a foreground wedge, similar to $P(k_{1\perp},k_{1\parallel})$ the 21-cm cylindrical power spectrum. However, the BS foreground wedge, which depends on $(k_{1\perp},k_{1\parallel})$, $(k_{2\perp},k_{2\parallel})$ and $(k_{3\perp},k_{…

Hitting Probabilities and the Ekstr{\"o}m-Persson conjecture
Esa J\"arvenp\"a\"a (UPEC UP12), Markus Myllyoja (UPEC UP12), St\'ephane Seuret (UPEC UP12)
https://arxiv.org/abs/2506.10448

Hitting Probabilities and the Ekstr{ö}m-Persson conjecture
We consider the Ekst\''om-Persson conjecture concerning the value of the Hausdorff dimension of random covering sets formed by balls with radii $(k^{-α})_{k=1}^\infty$ and centres chosen independently at random according to an arbitrary Borel probability measure $μ$ on $\mathbb{R}^d$. The conjecture has been solved positively in the case $\frac 1α\le \overline{\dim}_H μ$, where $\overline{\dim}_H μ$ stands for the upper Hausdorff dimension of $μ$. In this paper, we develop a new approach …

Koszulity for semi-infinite highest weight categories
Thorsten Heidersdorf, Jonas Nehme, Catharina Stroppel
https://arxiv.org/abs/2506.09246 https://

Koszulity for semi-infinite highest weight categories
We show that any upper finite or essentially finite highest weight category where the standard objects have linear projective resolutions and the costandard objects have linear injective resolutions is Koszul. This extends the result of Agoston, Dlab, and Lukacs to the case of infinite highest weight categories. We apply this result to Khovanov algebras and representations of classical Deligne categories and show that these are Koszul.

Explicit Bounds on the Spectrum of 6d N=(1,0) Supergravity
Caucher Birkar, Seung-Joo Lee
https://arxiv.org/abs/2507.06295 https://arx…

Explicit Bounds on the Spectrum of 6d N=(1,0) Supergravity
We propose a novel strategy to derive explicit and uniform upper bounds on the particle spectrum of six-dimensional gravitational theories with minimal supersymmetry, focusing initially on the tensor sector. The strategy is motivated by considerations of F-theory compactifications on elliptic Calabi-Yau 3-folds. However, it admits a clear bottom-up interpretation and is thus applicable to general supergravity theories modulo certain physical conjectures. At the heart of the strategy are two key…

Upper bounds on the theta function of random graphs
Uriel Feige, Vadim Grinberg
https://arxiv.org/abs/2506.02952 https://arxiv.org/pd…

Upper bounds on the theta function of random graphs
The theta function of Lovasz is a graph parameter that can be computed up to arbitrary precision in polynomial time. It plays a key role in algorithms that approximate graph parameters such as maximum independent set, maximum clique and chromatic number, or even compute them exactly in some models of random and semi-random graphs. For Erdos-Renyi random $G_{n,1/2}$ graphs, the expected value of the theta function is known to be at most $2\sqrt{n}$ and at least $\sqrt{n}$. These bounds have not …

Poincar\'e inequality on the monotone sets revisited
Fan Chang, Guowei Sun, Lei Yu
https://arxiv.org/abs/2506.09852 https://arxiv…

Poincaré inequality on the monotone sets revisited
In this short note, we provide a simple inductive proof of the Poincaré inequality on the monotone sets, which is firstly established by Fei and Pinto Jr. using directed heat semigroup method. Such inequality improves the mixing time upper bound of the censored random walk on constant-density monotone sets from $O(n^3)$ by Ding and Mossel to $O(n^2)$.

With the first #AAS246 presser "Cosmic Accelerators and Active Black Holes" came the papers https://iopscience.iop.org/article/10.3847/1538-4357/adb7e0 (Discovery of a Pulsar Wind Nebula Candidate Associated with the Galactic PeVatron 1LHAASO J0343 5254u) &
https://iopscience.iop.org/article/10.3847/2515-5172/adccb9 (Swift-XRT Observations and Upper Limits at Five LHAASO Galactic Sources) with the press release https://natsci.msu.edu/news/2025/2025-06-where-did-cosmic-rays-come-from.aspx, https://iopscience.iop.org/article/10.3847/1538-4357/adccc1 (Radial Profiles of Radio Halos in Massive Galaxy Clusters: Diffuse Giants Over 2 Mpc) etc. with the press release https://www.cfa.harvard.edu/news/record-breaking-cosmic-structure-discovered-colossal-galaxy-cluster and https://arxiv.org/abs/2504.09676 (Investigating the Emission Mechanism in the Spatially Resolved Jets of Two z ≈ 3 Radio-loud Quasars) with the press releases https://chandra.si.edu/photo/2025/j1610/ and https://www.nasa.gov/image-article/nasas-chandra-sees-surprisingly-strong-black-hole-jet-at-cosmic-noon/ and the abstract https://ui.adsabs.harvard.edu/abs/2025AAS...24520421S/abstract (NIRCam imaging of NGC 4258).

An Ohsawa-Takegoshi-type $L^2$ extension for upper semi-continuous $L^2$-optimal functions
Zhuo Liu
https://arxiv.org/abs/2506.22834 https://

An Ohsawa-Takegoshi-type $L^2$ extension for upper semi-continuous $L^2$-optimal functions
In this article, we obtain an Ohsawa-Takegoshi-type $L^2$-extension for upper semi-continuous $L^2$-optimal functions via a Lebesgue-type differentiation theorem. As applications, we give a characterization of plurisubharmonic functions via the multiple coarse $L^2$-estimate property for (strongly) upper semi-continuous functions and show that (strongly) upper semi-continuous $L^2$-optimal functions satisfy Skoda's integrability theorem and the strong openness property.

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): I. Program Overview and Summary of First Results
Ke Zhang, Laura M. P\'erez, Ilaria Pascucci, Paola Pinilla, Lucas A. Cieza, John Carpenter, Leon Trapman, Dingshan Deng, Carolina Agurto-Gangas, Anibal Sierra, Nicol\'as T. Kurtovic, Dary A. Ru\'iz-Rodr\'iguez, Miguel Vioque, James Miley, Beno\^it Tabone, Camilo Gonz\'alez-Ruilova, Rossella Anania, Giovanni P. Rosotti, Estephani TorresVillanueva, Mich…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): I. Program Overview and Summary of First Results
We present the ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO), a Large Program of the Atacama Large Millimeter/submillimeter Array (ALMA). AGE-PRO aims to systematically trace the evolution of gas disk mass and size throughout the lifetime of protoplanetary disks. It uses a carefully selected sample of 30 disks around M3-K6 stars in three nearby star-forming regions: Ophiuchus (0.5-1 Myr), Lupus (1-3 Myr), and Upper Sco (2-6 Myr). Assuming the three regions had similar initial c…

On the Linear Programming Model for Dynamic Stochastic Matching and Its Application on Pricing
Junlin Chen, Chiwei Yan, Hai Jiang
https://arxiv.org/abs/2506.09924

On the Linear Programming Model for Dynamic Stochastic Matching and Its Application on Pricing
Important pricing problems in centralized matching markets -- such as carpooling and food delivery platforms -- often exhibit a bi-level structure. At the upper level, the platform sets prices for different types of agents (e.g., riders with various origins and destinations, or delivery orders from diverse restaurants to customer locations). The lower level then matches converted agents to minimize operational costs, such as pooling riders with similar itineraries into the same vehicle or conso…

Radon Transforms and the SYK model
Michael Stone
https://arxiv.org/abs/2506.09880 https://arxiv.org/pdf/2506.09880

Radon Transforms and the SYK model
Motivated by recent work on the Sachdev-Ye-Kitaev (SYK) model, we consider the effect of Radon or X-ray transformations, on the Laplace eigenfunctions in hyperbolic Bolyai-Lobachevsky space. We show that the Radon map from this space to Lorentzian-signature Anti-de Sitter or de Sitter space is easier to interpret if we use the Poincare disc model and eigenfunctions rather than the upper-half-plane model. In particular, this version of the transform reveals the geometric origin of the boundary c…

Certain Upper Bounds on the $A$-Numerical Radius of Operators in Semi-Hilbertian Spaces and Their Applications
M. H. M. Rashid
https://arxiv.org/abs/2507.05398

Certain Upper Bounds on the $A$-Numerical Radius of Operators in Semi-Hilbertian Spaces and Their Applications
Consider a complex Hilbert space $\left(\mathcal{H}, \langle \cdot, \cdot \rangle\right)$ equipped with a positive bounded linear operator $A$ on $\mathcal{H}$. This induces a semi-norm $\|\cdot\|_A$ through the semi-inner product $\langle x, y \rangle_A = \langle Ax, y \rangle$ for $x, y \in \mathcal{H}$. In this semi-Hilbertian space setting, we investigate the $A$-numerical radius $w_A(T)$ and $A$-operator semi-norm $\|T\|_A$ of bounded operators $T$. This paper presents …

Rising surface salinity and declining sea ice - a new Southern Ocean state revealed by satellites: #salinity across the circumpolar Southern Ocean since 2015. This shift has weakened upper-ocean stratification, coinciding with a dramatic decline in Antarctic sea ice coverage. Additionally, rising salinity facilitated the reemergence of the Maud Rise polynya in the Weddell Sea, a phenomenon last observed in the mid-1970s. Crucially, we demonstrate that satellites can now monitor these changes in real time, providing essential evidence of the Southern Ocean’s potential transition toward persistently reduced sea ice coverage" -> A change in the Southern Ocean structure can have climate implications: https://www.icm.csic.es/en/news/change-southern-ocean-structure-can-have-climate-implications (the original version of this press release was full of errors as https://bsky.app/profile/mkreutzfeldt.bsky.social/post/3ltednz76r226 has documented but - as https://bsky.app/profile/micefearboggis.bsky.social/post/3ltemt57qhc2u points out - the correction was done in a most intransparent way).

Vulnerability-Based Optimal Grid Defense Strategies for Enhancing Cyber-Physical Energy System Resilience
Eric T\"onges, Philipp H\"artel, Martin Braun
https://arxiv.org/abs/2506.09766

Vulnerability-Based Optimal Grid Defense Strategies for Enhancing Cyber-Physical Energy System Resilience
An approach is proposed to identify optimal asset protection strategies based on vulnerability assessment outcomes. Traditional bilevel attacker-defender models emphasize worstcase scenarios but offer limited defensive guidance. In contrast, trilevel models introduce high computational complexity and rely on fixed network configurations. The proposed critical-components method leverages vulnerability assessment results to determine protection strategies, effectively outsourcing the upper-level …

Rev\^etements du demi-plan de Drinfeld et Langlands p-adique cat\'egorique
Yang Pei
https://arxiv.org/abs/2506.08845 https://arxi…

Revêtements du demi-plan de Drinfeld et Langlands p-adique catégorique
We generalize to all levels of the tower of coverings of the Drinfeld upper plane an exact sequence established by Lue Pan for the first covering. Furthermore, we introduce two functors, inspired by the categorification of the $p$-adic local Langlands correspondence, in Banach and locally analytic versions respectively. We then compute the sheaves associated with the representations appearing in our sequence. As an application, we show that all proper quotients of the universal unitary completi…

This https://arxiv.org/abs/2410.13695 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Zarankiewicz bounds from distal regularity lemma
Since Kővári, Sós, and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk, and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in the following year to arbitrary semialgebraic relations. In this paper, we show that Zarankiewicz bounds in the shape of Do's are enjoyed by all re…

On the complexity of upper frequently hypercyclic vectors
Szymon Glab, Paolo Leonetti
https://arxiv.org/abs/2506.22341 https://arxiv.…

On the complexity of upper frequently hypercyclic vectors
Given a continuous linear operator $T:X\to X$, where $X$ is a topological vector space, let $\mathrm{UFHC}(T)$ be the set of upper frequently hypercyclic vectors, that is, the set of vectors $x \in X$ such that $\{n \in ω: T^nx \in U\}$ has positive upper asymptotic density for all nonempty open sets $U\subseteq X$. It is known that $\mathrm{UFHC}(T)$ is a $G_{δσδ}$-set which is either empty or contains a dense $G_δ$-set. Using a purely topological proof, we improve it by showing that $\ma…

Upper Chromatic Numbers: An Update
Aaron Abrams
https://arxiv.org/abs/2506.19126 https://arxiv.org/pdf/2506.19126

Upper Chromatic Numbers: An Update
This is a survey written in 2000 about upper chromatic numbers

This https://arxiv.org/abs/2504.11382 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The tangent cone to the real determinantal variety: various expressions and a proof
The set of real matrices of upper-bounded rank is a real algebraic variety called the real generic determinantal variety. An explicit description of the tangent cone to that variety is given in Theorem 3.2 of Schneider and Uschmajew [SIAM J. Optim., 25 (2015), pp. 622-646]. The present paper shows that the proof therein is incomplete and provides a proof. It also reviews equivalent descriptions of the tangent cone to that variety. Moreover, it shows that the tangent cone and the algebraic tange…

This https://arxiv.org/abs/2504.03575 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the maximal volume of empty convex bodies amidst multivariate dilates of a lacunary integer sequence
Let \((a_n)_{n \in \mathbb{N}}\) be a lacunary sequence of integers satisfying the Hadamard gap condition. For any fixed dimension $d \geq 1$, we establish asymptotic upper bounds for the maximal gap in the set of dilates \(\{\boldsymbolα a_n \}_{n \leq N}\) modulo 1 as $N \to \infty$, for Lebesgue--almost all dilation vectors $\boldsymbolα \in [0,1]^d$. More precisely, we prove that for any lacunary \((a_n)_{n \in \mathbb{N}}\) and Lebesgue--almost all $\boldsymbolα$, every convex set in $[…

On orbit sets generated by semigroups of one-dimensional affine functions
Karim F. Shamazov, Alexey L. Talambutsa
https://arxiv.org/abs/2507.06875 https://…

On orbit sets generated by semigroups of one-dimensional affine functions
The one-dimensional orbit set $\langle F : s \rangle$ is formed by the images of a number $s$ under the action of a semigroup generated by the integer affine functions $f_i=a_i x+b_i$ taken from the set $F=\{f_1,\ldots,f_n\}$. P.Erdös established an upper bound $O(x^{σ+ε})$ for the growth function $|\langle F : s \rangle\cap[0,x]|$, where $1/a_1^σ+1/a_2^σ+\ldots + 1/a_n^σ=1$ and $\varepsilon>0$, which was extended to orbit multisets and real affine functions by J.Lagarias. We co…