Tootfinder

Embedding theorems for Bergman-Zygmund spaces induced by doubling weights
Atte Pennanen
https://arxiv.org/abs/2505.23211 https://arxi…

Embedding theorems for Bergman-Zygmund spaces induced by doubling weights
Let $0

Moduli spaces of twisted equivariant G-bundles over a curve
Guillermo Barajas
https://arxiv.org/abs/2505.23488 https://arxiv.org/pdf/…

Moduli spaces of twisted equivariant G-bundles over a curve
Let $X$ be a compact Riemann surface, $Γ$ a finite group of automorphisms of $X$ and $G$ a connected reductive complex Lie group with center $Z$. If we equip this data with a homomorphism $θ:Γ\to\text{Aut}(G)$ and a 2-cocycle $c:Γ\timesΓ\to Z$, there is a notion of $(θ,c)$-twisted $Γ$-equivariant $G$-bundle over $X$. The aim of this paper is to construct a coarse moduli space of isomorphism classes of polystable $(θ,c)$-twisted equivariant $G$-bundles over $X$, according to the definiti…

The power of binaries on stripped-envelope supernovae across metallicity: uniform progenitor parameter space and persistently low ejecta masses, but subtype diversity
D. Souropanis, E. Zapartas, T. Pessi, M. Briel, M. Renzo, C. P. Guti\'errez, J. J. Andrews, S. Gossage, M. U. Kruckow, C. Liotine, P. M. Srivastava, E. Teng
https://arxiv…

The power of binaries on stripped-envelope supernovae across metallicity: uniform progenitor parameter space and persistently low ejecta masses, but subtype diversity
Stripped-envelope supernovae (SESNe) originate from massive stars that lose their envelopes through binary interactions or stellar winds. The connection between SESN subtypes and their progenitors remains poorly understood, as does the influence of initial mass, binarity, explodability, and metallicity on their evolutionary pathways, relative rates, ejecta masses, and progenitor ages. Here, we investigate these properties across a wide metallicity range (0.01-2 $Z_{\odot}$) using POSYDON, a sta…

Optimizing Gaussian Process Kernels Using Nested Sampling and ABC Rejection for H(z) Reconstruction
Jia-yan Jiang, Kang Jiao, Tong-Jie Zhang
https://arxiv.org/abs/2506.21238

Optimizing Gaussian Process Kernels Using Nested Sampling and ABC Rejection for H(z) Reconstruction
Recent cosmological observations have achieved high-precision measurements of the Universe's expansion history, prompting the use of nonparametric methods such as Gaussian processes (GP) regression. We apply GP regression for reconstructing the Hubble parameter using CC data, with improved covariance modeling and latest study in CC data. By comparing reconstructions in redshift space $z$ and transformed space $\log(z+1)$ , we evaluate six kernel functions using nested sampling (NS) and approxim…

On the graded singularity category of Abelian quotient singularities, I. Smooth categorical compactification
Xiaojun Chen, Jieheng Zeng
https://arxiv.org/abs/2507.19815 https://…

On the graded singularity category of Abelian quotient singularities, I. Smooth categorical compactification
Given a singularity which is the quotient of an affine space $V$ by a finite Abelian group $G \subseteq \mathrm{SL}(V)$, we study the DG enhancement $\mathcal{D}^{b}(\mathrm{tails}(k[V]^G))$ of the bounded derived category of the non-commutative projective space $\mathrm{tails}(k[V]^G)$ and the DG enhancement $\mathcal{D}_{sg}^{\mathbb{Z}}(k[V]^G)$ of its graded singularity category. In this paper, we construct smooth categorical compactifications, in the sense of Efimov, of $\mathcal{D}^b(\mat…

An Invariant for Triple-Point-Free Immersed Spheres
Jona Seidel
https://arxiv.org/abs/2506.21130 https://arxiv.org/pdf/2506.21130

An Invariant for Triple-Point-Free Immersed Spheres
We define an invariant of triple-point-free immersions of $2$-spheres into Euclidean $3$-space, taking values in $l^1(\mathbb{Z})$. It remains unchanged under regular homotopies through such immersions. An explicit description of its image shows that the space of triple-point-free immersed spheres has infinitely many regular homotopy classes. Consequently, many pairs of immersed spheres can only be connected by regular homotopies that pass through triple points. We represent the double points o…

Crystalline electric field and large anomalous Hall effect in the candidate topological material CeGaSi
Rajesh Swami, Daloo Ram, Anusree C. V, V. Kanchana, Z. Hossain
https://arxiv.org/abs/2507.20733

Crystalline electric field and large anomalous Hall effect in the candidate topological material CeGaSi
We report a comprehensive investigation of CeGaSi single crystals, including magnetic, thermodynamic, electronic, and magnetotransport properties. The powder x-ray diffraction refinement revealed that CeGaSi crystallizes in LaPtSi-type tetragonal structure with space group I41md. The electrical resistivity data show a metallic nature with a sharp drop occurring around T_m = 11 K, revealing a magnetic phase transition, which is confirmed by magnetic susceptibility and heat capacity data. The mag…

Quantum mechanics, non-locality, and the space discreteness hypothesis
W. A. Z\'u\~niga-Galindo
https://arxiv.org/abs/2508.14836 https://arxiv.org/pdf/…

Quantum mechanics, non-locality, and the space discreteness hypothesis
The space discreteness hypothesis asserts that the nature of space at short distances is radically different from that at large distances. Based on the Bronstein inequality, here, we use a totally disconnected topological space $\mathcal{X}$ as a model for the space. However, we consider the time as a real variable. In this framework, the formalism of Dirac-von Neumann can be used. This discreteness hypothesis implies that given two different points in space, there is no continuous curve (a wor…

Slow convergence of Birkhoff ergodic averages
Valery V. Ryzhikov
https://arxiv.org/abs/2507.16740 https://arxiv.org/pdf/2507.16740

Slow convergence of Birkhoff ergodic averages
Let $\{T^z\}$ be an ergodic action of the group $Z^n$ by automorphisms of the probability space $(X,m)$, $\sum_{i}^\infty a_i<\infty$, $a_i>0$. For any sequence $M_k\to +\infty$ there exist $N_k>M_k$ and a function $ f\in L_1(X,m)$ such that $$m\left(\ x:\ \left|\, A(x,N_k,f) - \int f \, dm\, \right|\ >\ a_k \ \right)\ \to\ 1,$$ where $$A(x,N,f) =\frac 1 {N^n} \sum_{z\in Q_N} f(T^{z}x),$$ $$Q_N=\{(z_1,\dots,z_n)\}\, :\, 1\leq z_1,\dots,z_n\leq N\}.$$

Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators
Santu Bera
https://arxiv.org/abs/2506.20143 https://

Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators
We discuss a notion, originally introduced by Aleman in one variable, of Dirichlet-type space $\mathcal D(μ_1,μ_2)$ on the unit bidisc $\mathbb D^2,$ with superharmonic weights related to finite positive Borel measures $μ_1,μ_2$ on $\overline{\mathbb D}.$ The multiplication operators $\mathscr M_{z_1}$ and $\mathscr M_{z_2}$ by the coordinate functions $z_1$ and $z_2,$ respectively, are bounded on $\mathcal D(μ_1,μ_2)$ and the set of polynomials is dense in $\mathcal D(μ_1,μ_2).$ We sho…

QSO MUSEUM III: the circumgalactic medium in Ly$\alpha$ emission around 120 $z\sim3$ quasars covering the SDSS parameter space. Witnessing the instantaneous AGN feedback on halo scales
Jay Gonz\'alez Lobos, Fabrizio Arrigoni Battaia, Aura Obreja, Guinevere Kauffmann, Emanuele Paolo Farina, Tiago Costa
https://arxiv.org/abs/2…

QSO MUSEUM III: the circumgalactic medium in Ly$α$ emission around 120 $z\sim3$ quasars covering the SDSS parameter space. Witnessing the instantaneous AGN feedback on halo scales
Recent surveys show that $z>2$ quasars are surrounded by Hydrogen Lyman-$α$ (Ly$α$) glows with diverse emission levels and extents. These seem to depend on the activity of embedded quasars, the number of active galactic nucleus (AGN) photons able to reach the halo gas or circumgalactic medium (CGM) and the physical properties of the CGM. In this framework, we present VLT/MUSE snapshot observations (45 min/source) of 59 $z\sim3$ quasars extending the long-term QSO MUSEUM campaign to fainter SD…

Measurements of the z=4-10 X-ray Luminosity Function: the high space density of moderate-luminosity, obscured AGN
C. L. Barlow-Hall, J. Aird
https://arxiv.org/abs/2506.16145

Measurements of the z=4-10 X-ray Luminosity Function: the high space density of moderate-luminosity, obscured AGN
SMBHs are theorised to undergo significant growth in the early Universe, however, the X-ray Luminosity Function (XLF), used as a principal tracer of the SMBH accretion density, lacks observational constraints at z>6, until now. We present new measurements of the z=4-10 XLF at intermediate luminosities, taking advantage of recent deep near-IR imaging from UltraVISTA that enables us to identify galaxies and AGN at high redshifts within which we identify X-ray sources using Chandra COSMOS data. We…

Rapid late-time reionization: constraints and cosmological implications
Willem Elbers
https://arxiv.org/abs/2508.21069 https://arxiv.org/pdf/2508.21069

Rapid late-time reionization: constraints and cosmological implications
We present constraints on the reionization optical depth, $τ$, obtained using several independent methods. First, we perform a non-parametric reconstruction of the reionization history, using Lyman-$α$ constraints on the evolution of the volume-averaged neutral hydrogen fraction, $x_\mathrm{HI}(z)$, including recent results from the James Webb Space Telescope. When combined with baryon acoustic oscillation (BAO) measurements from DESI and Big Bang nucleosynthesis constraints, these data imply…

Technosignature Searches of Interstellar Objects
James R. A. Davenport, Sofia Z. Sheikh, Steve Croft, Brian C. Lacki, Jason T. Wright, Chris Lintott, Adam Frank, T. Joseph W. Lazio, Colin Orion Chandler, Andrew P. V. Siemion, Stephen DiKerby, Ellie White, Valeria Garcia Lopez, Emma E. Yu, Maxwell K. Frissell, Peter Yoachim, Naomi Morato, Devanshi Singh, Jinshuo Zhang, Darryl Z. Seligman

Technosignature Searches of Interstellar Objects
With the discovery of the third confirmed interstellar object (ISO), 3I/ATLAS, we have entered a new phase in the exploration of these long-predicted objects. Though confirmed discovery of ISOs is quite recent, their utility as targets in the search for technosignatures (historically known as the Search for Extraterrestrial Intelligence -- SETI) has been discussed for many decades. With the upcoming NSF-DOE Vera C. Rubin Observatory's Legacy Survey of Space and Time (LSST), the discovery and tr…

On nut graphs with two vertex and three edge orbits
Ksenija Rozman, Primo\v{z} \v{S}parl
https://arxiv.org/abs/2508.17842 https://arxiv.org/pdf/2508.17842

On nut graphs with two vertex and three edge orbits
Nut graphs are graphs whose adjacency matrix is singular with one-dimensional null space spanned by a vector with no zero entries. In a recent paper, Bašić, Fowler and Pisanski proved that the automorphism group of a nut graph has more orbits on the edge set than on the vertex set. They classified all orders for which a vertex-transitive nut graph with precisely two edge orbits exists, and conjectured that a nut graph with two vertex and three edge orbits exists for each non-prime order $n \g…

Validity of generalized Gibbs ensemble in a random matrix model with a global $\mathbb{Z}_2$-symmetry
Adway Kumar Das
https://arxiv.org/abs/2506.16176 http…

Validity of generalized Gibbs ensemble in a random matrix model with a global $\mathbb{Z}_2$-symmetry
$\mathbb{Z}_2$ symmetry is ubiquitous in quantum mechanical systems where it drives various phase transitions and emergent physics. To understand the role of $\mathbb{Z}_2$ symmetry in the thermalization of a local observable in a disordered system, we consider random symmetric centrosymmetric (SC) matrices where the exchange symmetry is conserved. Such a conservation law splits the Hilbert space into decoupled subspaces such that the energy spectrum of a SC matrix is a superposition of two pur…

Fano schemes of sub-maximal elementary symmetric functions
Alexandru Chirvasitu
https://arxiv.org/abs/2507.19163 https://arxiv.org/pdf/2507.19163

Fano schemes of sub-maximal elementary symmetric functions
Denote by $E_r$ the $r^{th}$ elementary symmetric polynomial in $\dim V$ variables for a vector space $V$ over an infinite field $\Bbbk$. We describe the rational points on the Fano scheme $F_{d-1}(Z(E_{\dim V-1}))$ of projective $(d-1)$-spaces contained in the zero locus of $E_{\dim V-1}$. Isolated points exist precisely for $\dim V=2d$, in which case they are in bijection with the $1\cdot 3\cdots (2d-1)$ pairings on a $2d$-element set. This, in particular, confirming a conjecture of Ambartsou…

Fractional Volterra-type operator induced by radial weight acting on Hardy space
Carlo Bellavita, \'Alvaro Miguel Moreno, Georgios Nikolaidis Jos\'e \'Angel Pel\'aez
https://arxiv.org/abs/2506.18122

Fractional Volterra-type operator induced by radial weight acting on Hardy space
Given a radial doubling weight $μ$ on the unit disc $\mathbb{D}$ of the complex plane and its odd moments $μ_{2n+1}=\int_0^1 s^{2n+1}μ(s)\, ds$, we consider the fractional derivative $$ D^μ(f)(z)=\sum_{n=0}^{\infty} \frac{\widehat{f}(n)}{μ_{2n+1}}z^n, $$ of a function $ f(z)=\sum_{n=0}^{\infty}\widehat{f}(n)z^n$ analytic in $\mathbb{D}$. We also consider the fractional integral operator $I^μ(f)(z)=\sum_{n=0}^{\infty} μ_{2n+1}\widehat{f}(n)z^n$, and the fractional Volterra-type op…

Cohomology of solvable saturable pro-$p$ groups and Lie algebras
Oihana Garaialde Oca\~na, Jon Gonz\'alez-S\'anchez, Lander Guerrero-S\'anchez
https://arxiv.org/abs/2507.18163

Cohomology of solvable saturable pro-$p$ groups and Lie algebras
Let $p$ be an odd prime, and let $n\in \N$ be an integer. We show that the $n^{\text{th}}$ mod-$p$ cohomology of a solvable saturable pro-$p$ group is isomorphic to the $n^{\text{th}}$ mod-$p$ cohomology of its associated $\Z_p$-Lie algebra $\g$ as a $\F_p$-vector space. Addittonally, we obtain that the $n^{\text{th}}$ mod-$p$ cohomology of $\g$ and of $\g/p\g$ are isomorphic as $\F_p$-vector spaces.

So, Altman’s superintelligence will allegedly do away with millions of jobs, but don’t worry kids, after graduating you “could be leaving on some kind of mission to explore the solar system on a spaceship.”
“Some kind of a mission,” huh? That’s a nice way of saying that he’ll shoot useless people into space.
This level of stupidity and arrogance is sickening.

Halfway to the Peak - Ice Absorption Bands at z ≈ 0.5 with JWST MIRI/MRS: #galaxy is much like dust that is closer to us, helping them understand early galactic activity.

Ach ja. Science Fiction und Fantasy, die ich im Juni (und den ersten Juli-Tagen) gelesen habe, gibt es auch noch. Zeitreisen, Space Opera, Klimakatastrophen, die ganz ferne Zukunft der Menschheit und Kairo 1912 sind alle mit dabei.
https://blog.till-westermayer.…

Science Fiction und Fantasy im Juni (und z.T. Juli) 2025
Eigentlich hatte ich mir vorgenommen, mir noch weitere Texte für den Hugo anzugucken und einen etwas differenzierteren Stimmzettel abzugeben. Heruntergeladen habe ich das Hugo-Voting-Paket schon mal, und bis zur finalen Abstimmung am 23. Juli ist eigentlich auch noch etwas Zeit. We will see. Bei der

Simulation of Space Platform Charging in Very Low Earth Orbit Using Stochastic Particle Methods
J. Skacel, P. Parodi, G. Gangemi, F. Bariselli, Z. Bonaventura, T. Magin
https://arxiv.org/abs/2508.15405

Simulation of Space Platform Charging in Very Low Earth Orbit Using Stochastic Particle Methods
The residual atmospheric drag on satellites in Very Low Earth Orbit (VLEO) has been recognized as a limiting factor for satellite lifetimes. This work focuses on one component of the drag, i.e., the ionospheric drag from charged particles, which was observed to influence the overall aerodynamics of satellites. Space platform charging processes are modeled using a stochastic particle method, Particle-in-Cell, with with the possibility to treat the electrons as a Boltzmann fluid, thus reducing th…

On the spectral theory in the Fock space with polynomial eigenfunctions
A. V. Turbiner (deceased), N. L. Vasilevski (deceased)
https://arxiv.org/abs/2508.05924 https://

On the spectral theory in the Fock space with polynomial eigenfunctions
The notion of the eigenvalue problem in the Fock space with polynomial eigenfunctions is introduced. This problem is classified by using the finite-dimensional representations of the $\mathfrak{sl}(2)$-algebra in Fock space. In the complex representation of the 3-dimensional Heisenberg algebra, proposed by Turbiner-Vasilevski (2021) in Ref.7, this construction is reduced to the linear differential operators in $(\frac{\partial}{\partial \overline{z}}\,,\,\frac{\partial}{\partial z})$ acting on …

Galactic echoes
Rimpei Chiba, Jupiter Ding, Chris Hamilton, Matthew W. Kunz, Scott Tremaine
https://arxiv.org/abs/2506.16512 https://…

Galactic echoes
Gaia has revealed a variety of substructures in the phase space of stars in the Solar neighborhood, including the vertical `Snail' in $(z,v_z)$ space. Such substructures are often interpreted as the incompletely phase-mixed response of the disc stars to a single perturbation, such as an impulsive encounter with a satellite galaxy. In this paper we consider the possibility that such structures contain manifestations of phase space echoes. First established in plasma physics in the 1960s, echoes …

Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space
Iker Gardeazabal-Guti\'errez, Mateus Sousa
https://arxiv.org/abs/2506.16195

Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space
In this paper we present a criteria to obtain interpolations formulas in terms of the sequence $\left(\{T_n(f)(Nm)\}\}_{m\in\mathbb{Z}}\right)_{n=1}^N$, where $f$ are functions whose Fourier transform is supported in $[-1/2,1/2]$, and $T_n$ are certain Fourier multiplier operators. We also discuss applications and also prove that our results recover several classical formulas.

$\kappa$-spaces
Saak Gabriyelyan, Evgenii Reznichenko
https://arxiv.org/abs/2507.11220 https://arxiv.org/pdf/2507.11220

$κ$-spaces
We say that a Tychonoff space $X$ is a $κ$-space if it is homeomorphic to a closed subspace of $C_p(Y)$ for some locally compact space $Y$. The class of $κ$-spaces is strictly between the class of Dieudonné complete spaces and the class of $μ$-spaces. We show that the class of $κ$-spaces has nice stability properties, that allows us to define the $κ$-completion $κX$ of $X$ as the smallest $κ$-space in the Stone--Čech compactification $βX$ of $X$ containing $X$. For a point $z\inβX$, …

Generalized Hilbert operators acting from Hardy spaces to weighted Bergman spaces
Liyi Wang, Shanli Ye
https://arxiv.org/abs/2506.19338 https://

Generalized Hilbert operators acting from Hardy spaces to weighted Bergman spaces
Let $μ$ be a positive Borel measure on the interval $[0,1)$. For $α>0$, the generalized Hankel matrix $\mathcal{H}_{μ, α}=(μ_{n, k, α})_{n, k \geq 0}$ with entries $μ_{n, k, α}=\int_{[0,1)} \frac{Γ(n+α)}{n ! Γ(α)} t^{n+k} \mathrm{d}μ(t)$ induces formally the operator \begin{equation*} \mathcal{H}_{μ, α}(f)(z)=\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty} μ_{n, k, α} a_k\right) z^n \end{equation*} on the space of all analytic function $f(z)=\sum_{k=0}^{\infty} a_{k} z^{k}$ in the…

The tangle-valued 1-cocycle for knots
Thomas Fiedler
https://arxiv.org/abs/2506.17738 https://arxiv.org/pdf/2506.17738

The tangle-valued 1-cocycle for knots
This paper contains the strongest and at the same time most calculable knot invariant ever. Let $Θ$ be the topological moduli space of all ordered oriented tangles in 3-space. We construct a non-trivial combinatorial 1-cocycle $\mathbb{L}$ for $Θ$ that takes its values in $H_0(Θ;\mathbb{Z})$. The 1-cocycle $\mathbb{L}$ has a very nice property, called the {\em scan-property}: if we slide a tangle $T$ over or under a given crossing $c$ of a fixed tangle $T'$, then the value of $\mathbb{L}$ …

Multiple telescopes produce new view of Andromeda #space

You've never seen the Andromeda Galaxy like this before. Multiple telescopes produce new view of our spiral neighbour | BBC Sky at Night Magazine
Image of the Andromeda Galaxy in multiple wavelengths, produced by multiple space telescopes and ground-based observatories.

lmao "the dork web" https://kolektiva.social/@franklinlopez/114672562818500830

Observational Space Unveils Cosmic Expansion's Role in the Hubble Tension
Kang Jiao, Tong-Jie Zhang, Liang Gao
https://arxiv.org/abs/2506.16669 https:/…

Observational Space Unveils Cosmic Expansion's Role in the Hubble Tension
We introduce a geometric embedding method that directly constrains $H_0$ by exploiting the exact kinematic relation $\dot{z} = H_0(1+z) - H(z)$ in a unified observational framework. This approach reconstructs expansion history without requiring specific cosmological models, incorporating both existing Cosmic Chronometer data and forecasted Sandage-Loeb measurements. Through mathematical embedding of observational constraints, we achieve $\sim 1.6\%$ precision in $H_0$ determination, matching cu…

AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM
Bruno Fernandes, Vasco Goncalves, Zhongjie Huang, Yichao Tang, Joao Vilas Boas, Ellis Ye Yuan
https://arxiv.org/abs/2507.14124

AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM
We propose an AdS$\times$S factorization formula at the level of the generating function for correlators with arbitrary Kaluza-Klein configurations, and implement it in the supergravity limit of $\mathcal{N}=4$ super Yang-Mills. By incorporating this mechanism into Mellin space bootstrap, together with an observed $Z_2$ symmetry under AdS$\ \leftrightarrow\ $S, we manage to simultaneously work out unified formulas both for all five-point half-BPS correlators and for all four-point correlators w…

I realize people have differing priorities & everyone's fighting their own war... but FFS, how does a family accidentally leave their dog behind when they move homes?
✅ Gen Z Couple Excited To Get Keys to New Home—Then They See What's Inside - Newsweek
https://www.

Gen Z Couple Excited To Get Keys to New Home—Then They See What's Inside
The previous homeowners left a surprise behind; they "didn't have enough space in their moving van," Louren Wilson told Newsweek.

Replaced article(s) found for physics.atom-ph. https://arxiv.org/list/physics.atom-ph/new
[1/1]:
- Bremsstrahlung induced atomic processes
Singh, Kumar, Chatterjee, Swami, Kaur, Jha, Oswal, Singh, Nandi
https://arxiv.org/abs/2501.02967 https://mastoxiv.page/@arXiv_physicsatomph_bot/113786077273931578
- Probing Instantaneous Single-Molecule Chirality in the Planar Ground State of Formic Acid
D. Tsitsonis, et al.
https://arxiv.org/abs/2503.13318 https://mastoxiv.page/@arXiv_physicsatomph_bot/114182276400669831
- Electronic structure calculation for superheavy elements Livermorium (Lv, Z=116) and Tennessine (...
V. A. Dzuba, V. V. Flambaum, G. K. Vong
https://arxiv.org/abs/2505.22895 https://mastoxiv.page/@arXiv_physicsatomph_bot/114595619538348153
- Fast programmable entanglement of Barium ion qubits using Rydberg states and AC-Stark shifts
Adam R. Vernon, Mitch Peaks
https://arxiv.org/abs/2506.00611 https://mastoxiv.page/@arXiv_physicsatomph_bot/114618331124166707
- Mitigating higher-band heating in Floquet-Hubbard lattices via two-tone driving
Yuanning Chen, Zijie Zhu, Konrad Viebahn
https://arxiv.org/abs/2410.12308 https://mastoxiv.page/@arXiv_condmatquantgas_bot/113321883265330530
- Constructing Quantum Many-Body Scars from Hilbert Space Fragmentation
Fan Yang, Matteo Magoni, Hannes Pichler
https://arxiv.org/abs/2506.10806 https://mastoxiv.page/@arXiv_quantph_bot/114675529198570764
toXiv_bot_toot

So, Altman’s superintelligence will allegedly do away with millions of jobs, but don’t worry kids, after graduating you “could be leaving on some kind of mission to explore the solar system on a spaceship.”
“Some kind of a mission,” huh? That’s a nice way of saying that he’ll shoot useless people into space.
This level of stupidity and arrogance is sickening.

So, Altman’s superintelligence will allegedly do away with millions of jobs, but don’t worry kids, after graduating you “could be leaving on some kind of mission to explore the solar system on a spaceship.”
“Some kind of a mission,” huh? That’s a nice way of saying that he’ll shoot useless people into space.
This level of stupidity and arrogance is sickening.

Signatures of Exploding Supermassive PopIII Stars at High Redshift in JWST, EUCLID and Roman Space Telescope
C\'edric Jockel, Kyohei Kawaguchi, Sho Fujibayashi, Masaru Shibata
https://arxiv.org/abs/2507.15556

Signatures of Exploding Supermassive PopIII Stars at High Redshift in JWST, EUCLID and Roman Space Telescope
Recently discovered supermassive black holes with masses of $\sim10^8\,M_\odot$ at redshifts $z\sim9$-$11$ in active galactic nuclei (AGN) pose severe challenges to our understanding of supermassive black hole formation. One proposed channel are rapidly accreting supermassive PopIII stars (SMSs) that form in large primordial gas halos and grow up to $<10^6\,M_\odot$. They eventually collapse due to the general relativistic instability and could lead to supernova-like explosions. This releases m…

Numerical Linear Algebra in Linear Space
Yiping Liu, Hoai-An Nguyen, Junzhao Yang
https://arxiv.org/abs/2507.02433 https://arxiv.org/…

Numerical Linear Algebra in Linear Space
We present a randomized linear-space solver for general linear systems $\mathbf{A} \mathbf{x} = \mathbf{b}$ with $\mathbf{A} \in \mathbb{Z}^{n \times n}$ and $\mathbf{b} \in \mathbb{Z}^n$, without any assumption on the condition number of $\mathbf{A}$. For matrices whose entries are bounded by $\mathrm{poly}(n)$, the solver returns a $(1+ε)$-multiplicative entry-wise approximation to vector $\mathbf{x} \in \mathbb{Q}^{n}$ using $\widetilde{O}(n^2 \cdot \mathrm{nnz}(\mathbf{A}))$ bit operations…

Symbolic Generation and Modular Embedding of High-Quality abc-Triples
Michael A. Idowu
https://arxiv.org/abs/2506.10039 https://arxiv…

Symbolic Generation and Modular Embedding of High-Quality abc-Triples
We present a symbolic identity for generating integer triples $(a, b, c)$ satisfying $a + b = c$, inspired by structural features of the \emph{abc conjecture}. The construction uses powers of $2$ and $3$ in combination with modular inversion in $\mathbb{Z}/3^p\mathbb{Z}$, leading to a parametric identity with residue constraints that yield abc-triples exhibiting low radical values. Through affine transformations, these symbolic triples are embedded into a broader space of high-quality examples,…

Local and global solvability of the Grushin heat equation with mixed nonlinear memory and reaction terms
Ahmad Z. Fino, Arlucio Viana
https://arxiv.org/abs/2507.13547

Local and global solvability of the Grushin heat equation with mixed nonlinear memory and reaction terms
In this work, we investigate the solvability of a heat equation involving the Grushin operator. The equation is perturbed by two nonlinear reaction terms, one of which includes a memory component, introducing nonlocal effects in time. We first establish local well-posedness results in both Lebesgue spaces and in the space of continuous functions vanishing at infinity. Furthermore, we develop and apply comparison principles that allow us to derive sufficient conditions for the global existence o…

Cyclic Operators, Linear Functionals and RKHS
Yi Wang
https://arxiv.org/abs/2507.17358 https://arxiv.org/pdf/2507.17358

Cyclic Operators, Linear Functionals and RKHS
Given a commuting $n$-tuple of bounded linear operators on a Hilbert space, together with a distinguished cyclic vector, Jim Agler defined a linear functional $Λ_{\mathbf{T},h}$ on the polynomial ring $\mathbb{C}[\mathbf{z},\bar{\mathbf{z}}]$. ``Near subnormality properties'' of an operator $T$ are translated into positivity properties of $Λ_{T,h}$. In this paper, we approach ``near subnormality properties'' in a different way by answering the following question: when is $Λ_{\mathbf{T},h}$ g…

Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space
Jinyu Gao, Guanghan Li
https://arxiv.org/abs/2507.04796 ht…

Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space
In this paper, the results of Mei, Wang, Weng and Xia [Math. Z., 2025, MR4911815] on capillary convex bodies are extended to the anisotropic setting. We develop a theory for anisotropic capillary convex bodies in the half-space and establish a general Alexandrov-Fenchel inequality for mixed volumes of anisotropic capillary convex bodies. Thus, this weakens the conditions of the inequality in [Ding-Gao-Li,arXiv:2408.10740, Theorem 1.4] and extends it to a more general case.

On the Variability Features of Active Galactic Nuclei in Little Red Dots
Shuying Zhou, Mouyuan Sun, Zijian Zhang, Jie Chen, Luis C. Ho
https://arxiv.org/abs/2508.16795 https://

On the Variability Features of Active Galactic Nuclei in Little Red Dots
The high-redshift ($z>4$) compact sources with ``V-shaped" spectral energy distributions (SEDs), known as Little Red Dots (LRDs), are discovered by the James Webb Space Telescope and provide valuable clues to the physics of active galactic nuclei (AGNs) in the early universe. The nature of LRDs is controversial. Recently, several studies have investigated LRDs through variability, a characteristic feature of AGNs. These studies explore LRD variability by extrapolating empirical relationships fr…

Simulation of parametrized cardiac electrophysiology in three dimensions using physics-informed neural networks
Roshan Antony Gomez, Julien St\"ocker, Bar{\i}\c{s} Cans{\i}z, Michael Kaliske
https://arxiv.org/abs/2506.15405

Simulation of parametrized cardiac electrophysiology in three dimensions using physics-informed neural networks
Physics-informed neural networks (PINNs) are extensively used to represent various physical systems across multiple scientific domains. The same can be said for cardiac electrophysiology, wherein fully-connected neural networks (FCNNs) have been employed to predict the evolution of an action potential in a 2D space following the two-parameter phenomenological Aliev-Panfilov (AP) model. In this paper, the training behaviour of PINNs is investigated to determine optimal hyperparameters to predict…

Shell model description of the $N=82$ isotonic chain with a new effective interaction
Y. X. Yu, Q. Y. Chen, Chong Qi, G. J. Fu
https://arxiv.org/abs/2507.14506

Shell model description of the $N=82$ isotonic chain with a new effective interaction
In this work, we present a systematic study of low-lying states and electromagnetic properties of the semi-magic $N = 82$ isotonic chain with proton number $Z=51$-77, using the full configuration interaction shell model with a newly developed high-quality effective interaction. The calculations are performed in a large model space that includes all proton orbitals between $Z = 50$ and 82: $0g_{7/2}$, $1d_{5/2}$, $1d_{3/2}$, $2s_{1/2}$, and $0h_{11/2}$. The effective interaction is derived throu…

Solutions of the spray flamelet equations in a non-monotonic mixture fraction space
Felipe Huenchuguala, Luis Fuenzalida, Oscar Orellana, Arne Scholtissek, Christian Hasse, Eva Gutheil, Hernan Olguin
https://arxiv.org/abs/2508.00146

Solutions of the spray flamelet equations in a non-monotonic mixture fraction space
Solving the spray flamelet equations in composition space is very challenging, which is attributable to the fact that the maximum value of the mixture fraction, $Z_\mathrm{max}$, is a priori unknown in such flames. In this work, an analytical solution for this quantity is proposed, which allows its determination in spray flames subject to imposed quadratic evaporation profiles. It is then illustrated how the proposed approach allows to effectively cover the solution space of the spray flamelet …

Dense Phenomena for Ergodic Schr\"odinger Operators: I. Spectrum, Integrated Density of States, and Lyapunov Exponent
Artur Avila (Universit\"at Z\"urich,IMPA), David Damanik (Rice University)
https://arxiv.org/abs/2506.14259

Dense Phenomena for Ergodic Schrödinger Operators: I. Spectrum, Integrated Density of States, and Lyapunov Exponent
We consider Schrödinger operators in $\ell^2(\Z)$ whose potentials are defined via continuous sampling along the orbits of a homeomorphism on a compact metric space. We show that for each non-atomic ergodic measure $μ$, there is a dense set of sampling functions such that the associated almost sure spectrum has finitely many gaps, the integrated density is smooth, and the Lyapunov exponent is smooth and positive. As a byproduct we answer a question of Walters about the existence of non-unifor…

Rieffel projections and 2-by-2 matrices
Olivier Isely, Alain Valette
https://arxiv.org/abs/2506.12640 https://arxiv.org/pdf/2506.1264…

Rieffel projections and 2-by-2 matrices
For a compact space $Y$, we view $C(Y\times S^1)$ as the crossed product $C(Y)\rtimes\mathbb{Z}$, with $\mathbb{Z}$ acting trivially. This allows us to study Rieffel projections in $M_2(C(Y\times S^1))$: we characterize them and compute their image under the projection $\partial_0:K_0(C(Y\times S^1))\rightarrow K_1(C(Y))$. We provide a new Rieffel projection in $M_2(C(\mathbb{T}^2))$, different from Loring's one, and involving only trigonometric polynomials plus the square root of $2-e^{2πiθ}…

The @… crew are doing a group order of meshtastic wireless devices.
We've selected the Wismesh Pocket v2 plus a small card sized sensor / buzzer. These connect up to 7 hops and we'll be installing 2 solar powered repeaters in Gastown & Mt Pleasant (as well as direct between any two devices)
Fill out the form …

Warped products, solid hyperbolic fillings, and the identity $D^{1,p} = N^{1,p} \mathbb{R}$
Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam, Gareth Speight
https://arxiv.org/abs/2508.01857

Warped products, solid hyperbolic fillings, and the identity $D^{1,p} = N^{1,p} + \mathbb{R}$
We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1,p}(Z) = N^{1,p}(Z) + \mathbb{R}$, i.e.\ any measurable function $u \colon Z \to \mathbb{R}$ with an $L^p$-integrable upper gradient is a constant term away from being $L^p$-integrable. To do so, we construct a family of hyperbolic fillings $\mathbb{H}_{α, β}(Y)$, $α, β\in (0, \infty)$, of a metric measure space $Y$, via a warped product of $Y$ with an exponentially weighted positive real line. We then s…

A Note on the Reliability of Goal-Oriented Error Estimates for Galerkin Finite Element Methods with Nonlinear Functionals
Brian N. Granzow, Stephen D. Bond, D. Thomas Seidl, Bernhard Endtmayer
https://arxiv.org/abs/2506.09913

A Note on the Reliability of Goal-Oriented Error Estimates for Galerkin Finite Element Methods with Nonlinear Functionals
We consider estimating the discretization error in a nonlinear functional $J(u)$ in the setting of an abstract variational problem: find $u \in \mathcal{V}$ such that $B(u,φ) = L(φ) \; \forall φ\in \mathcal{V}$, as approximated by a Galerkin finite element method. Here, $\mathcal{V}$ is a Hilbert space, $B(\cdot,\cdot)$ is a bilinear form, and $L(\cdot)$ is a linear functional. We consider well-known error estimates $η$ of the form $J(u) - J(u_h) \approx η= L(z) - B(u_h, z)$, where $u_h$ d…

The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
Pankaj Chavan, Tapomoy Guha Sarkar, Anjan A Sen
https://arxiv.org/abs/2506.14275

The dynamics of background evolution and structure formation in phase space: a semi-cosmographic reconstruction
The Baryon Acoustic Oscillation (BAO) feature, imprinted in the transverse and radial clustering of dark matter tracers, enables the simultaneous measurement of the angular diameter distance $D_A(z)$ and the Hubble parameter $H(z)$ at a given redshift. Further, measuring the redshift space anisotropy (RSD) allows us to measure the combination $f_8\equiv fσ_8(z)$. Motivated by this, we simultaneously study the dynamics of background evolution and structure formation in an abstract phase space o…

Finitely Correlated States Driven by Topological Dynamics
Eric B. Roon, Jeffrey H. Schenker
https://arxiv.org/abs/2507.07287 https://…

Finitely Correlated States Driven by Topological Dynamics
Let $(Ω, ¶)$ be a standard probability space and let $\vartheta:Ω\to Ω$ be a measure preserving ergodic homeomorphism. Let $\mathcal{A}$ be a $C^*$-algebra with a unit and let $\mathcal{A}_{\mathbb{Z}}$ be the quasi-local algebra associated to the spin chain with one-site algebra $\mathcal{A}$. Equip $\mathcal{A}_{\mathbb{Z}}$ with the group action of translation by $k$-units, $τ_k\in Aut(\mathcal{A}_{\mathbb{Z}})$ for $k\in \mathbb{Z}$. We study the problem of finding a disordered matrix …

Generic vanishing on homogeneous spaces in characteristic $p>0$
Ankit Rai, K. V. Shuddhodan
https://arxiv.org/abs/2507.13452 https://

Generic vanishing on homogeneous spaces in characteristic $p>0$
Let $X$ be a projective variety that is a homogeneous space under the action of a connected algebraic group $G$. Let $W, Z \subset X$ be locally closed, smooth affine subvarieties. In a recent work, Schürmann--Simpson--Wang proved that for a generic $g \in G$, the inequality $(-1)^{\dim(gW \cap Z)} χ(gW \cap Z) \geq 0$ holds, when the base field has characteristic $0$. More precisely, they prove a new generic vanishing result and obtain the assertion about the Euler characteristic as a coroll…

Ces\`{a}ro-type operators acting on Dirichlet spaces
Petros Galanopoulos, Daniel Girela
https://arxiv.org/abs/2507.13502 https://arxi…

Cesàro-type operators acting on Dirichlet spaces
If $(η)=\{ η_n\} _{n=0}^\infty $ is a sequence of complex numbers, the Cesàro-type operator $\mathcal C_{(η)}$ is formally defined in the space of analytic funtions in the unit disc $\mathbb D$ as follows: If $f$ is an analytic function in $\mathbb D$, $f(z)=\sum_{n=0}^\infty a_nz^n$ ($z\in \mathbb D$), then $\mathcal C_{(η)}(f)$ is formally defined by $$\mathcal C_{(η)}(f)(z)=\mathcal C_{\{η_n\}}(f)(z)=\sum_{n=0}^\infty η_n\left (\sum_{k=0}^na_k\right )z^n.$$ The operator $\mathcal C_{…

Replaced article(s) found for physics.space-ph. https://arxiv.org/list/physics.space-ph/new
[1/1]:
- Plasma refilling of the lunar wake: plasma-vacuum interactions, electrostatic shocks, and electro...
Xin An, Vassilis Angelopoulos, Terry Z. Liu, Anton Artemyev…

The Fraction of Clumpy Galaxies in JWST Surveys over $2<z<12$
Alexander de la Vega, Bahram Mobasher, Faezeh Manesh, Niloofar Sharei, Nima Chartab, Zahra Sattari
https://arxiv.org/abs/2508.14972

The Fraction of Clumpy Galaxies in JWST Surveys over $2
High-redshift galaxies exhibit compact regions of intense star formation, known as ``clumps,'' which are conspicuous in the rest-frame ultraviolet. Studying them can shed light on how they form and evolve and inform theoretical models of galaxy evolution. We examine the evolution of clumpy galaxies with redshift and stellar mass over $2