Tootfinder

An interview with X VP of Product Keith Coleman about plans to let developers program AI agents to propose Community Notes notes, the old system, and more (Will Oremus/Washington Post)

Analysis | X will let AI bots fact-check posts. It isn’t as crazy as it sounds.
The head of Community Notes explains the logic behind the move.

Wendelstein 7-X stellt neuen Fusionsrekord auf
In der Forschungsanlage Wendelstein 7-X ist ein Rekord gelungen. Die Forscher werten das als Fortschritt auf dem Weg zur kommerziellen Nutzung der Kernfusion.
https:/…

Mon commentaire après cette première participation Š la conférence : Pass the Salt, c'est vraiment le feu 🔥
#pts25
😇🤣

Atomic scale structure and dynamical properties of (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ glasses through first-principles modeling and XRD measurements
Firas Shuaib, Assil Bouzid, Remi Piotrowski, Gaelle Delaizir, Pierre-Marie Geffroy, David Hamani, Raghvender Raghvender, Steve Dave Wansi Wendji, Carlo Massobrio, Mauro Boero, Guido Ori, Philippe Thomas, Olivier Masson

Atomic scale structure and dynamical properties of (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ glasses through first-principles modeling and XRD measurements
We resort to first-principles molecular dynamics, in synergy with experiments, to study structural evolution and Na$^+$ cation diffusion inside (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ (x = 0.10-0.40) glasses. Experimental and modeling results show a fair quantitative agreement in terms of total X-ray structure factors and pair distribution functions, thereby setting the ground for a comprehensive analysis of the glassy matrix evolution. We find that the structure of (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ …

An interview with X VP of Product Keith Coleman about plans to let developers program AI agents to propose Community Notes, the old system, and more (Will Oremus/Washington Post)

Analysis | X will let AI bots fact-check posts. It isn’t as crazy as it sounds.
The head of Community Notes explains the logic behind the move.

On the Visibility Polynomial of Graphs
Tonny K B, Shikhi M
https://arxiv.org/abs/2507.01851 https://arxiv.org/pdf/2507.01851

On the Visibility Polynomial of Graphs
Let G(V,E) be a simple graph and let X subset of V. Two vertices u and v are said to be X-visible if there exists a shortest u,v-path P such that V(P) intersection X is a subset of {u, v}. A set X is called a mutual-visibility set of G if every pair of vertices in X are X-visible. The visibility polynomial of a graph G is defined as nu (G)=sum_{i >= 0} r_i x^i, where r_i denotes the number of mutual-visibility sets in G of cardinality i. In the present paper, the visibility polynomial is studie…

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension
Jefferson Baudin
https://arxiv.org/abs/2507.01797 https://

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension
We show that a smooth proper weakly ordinary variety $X$ of maximal Albanese dimension satisfies $χ(X, ω_X) \geq 0$. We also show that if $X$ is not of general type, then $χ(X, ω_X) = 0$ and the Albanese image of $X$ is fibered by abelian varieties. The proof uses the positive characteristic generic vanishing theory developed by Hacon-Patakfalvi, as well as our recent Witt vector version of Grauert-Riemenschneider vanishing.

Periodically Driven anharmonic chain: Convergent Power Series and Numerics
Pedro L. Garrido, Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
https://arxiv.org/abs/2507.02065

Periodically Driven anharmonic chain: Convergent Power Series and Numerics
We investigate the long time behavior of a pinned chain of $2N+1$ oscillators, indexed by $x \in\{-N,\ldots, N\}$. The system is subjected to an external driving force on the particle at $x=0$, of period $θ=2π/ω$, and to frictional damping $γ>0$ at both endpoints $x=-N$ and $N$. The oscillators interact with a pinned and nearest neighbor harmonic plus anharmonic potentials of the form $\frac{ω_0^2 q_x^2}{2}+\frac12 (q_{x}-q_{x-1})^2 +ν\left[V(q_x)+U(q_x-q_{x-1}) \right]$, with $…

»Experten zweifeln Sicherheit von Musks neuem XChat an:
Mit XChat verspricht Elon Musk verschlüsselte Kommunikation auf seinem sozialen Netzwerk X. Doch Expert:innen äußern ernsthafte Bedenken an der Sicherheit der neuen Nachrichtenfunktion.«
Wenn dies nicht so was ähnliches wie ein Telegram Klon wird und Verschlüsselung verspricht, die mensch nicht wirklich nutzen kann aber viele dem Blind vertrauen?!??
🧐

Experten zweifeln Sicherheit von Musks neuem XChat an - t3n – digital pioneers
Mit XChat verspricht Elon Musk verschlüsselte Kommunikation auf seinem sozialen Netzwerk X. Doch Expert:innen äußern ernsthafte Bedenken an der Sicherheit der neuen Nachrichtenfunktion. Elon Musk hat mit XChat eine neue Version der Nachrichtenfunktion der Social-Media-Plattform X angekündigt. Über das neue Feature soll auch das Versenden von Dateien möglich sein. Wie The Register berichtet, zeigen sich […]

a friend let me take a picture of his whiteboard

https://x.com/yan_qing35527/status/1918913180463431881

The 157-month Swift-BAT All-Sky Hard X-Ray Survey
Amy Y. Lien, Hans Krimm, Craig Markwardt, Kyuseok Oh, Lea Marcotulli, Richard Mushotzky, Nicholas R. Collins, Scott Barthelmy, Wayne H. Baumgartner, S. Bradley Cenko, Michael Koss, Sibasish Laha, Takanori Sakamoto, David Palmer, Tyler Parsotan
https://arxiv.org/abs/2506.04109

The 157-month Swift-BAT All-Sky Hard X-Ray Survey
The Burst Alert Telescope (BAT) onboard the Neil Gehrels Swift observatory has been serving as a survey instrument for the hard X-ray sky, and has detected thousands of X-ray sources (e.g., AGNs, X-ray binaries, etc). BAT monitors these X-ray sources and follows their light curves on time scales from minutes to years. In addition, BAT discovers hundreds of new X-ray sources in survey images stacked throughout the mission lifetime. We present the updated BAT survey catalog since the last publish…

This https://arxiv.org/abs/2501.04357 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Generators of top cohomology
Let $R$ be a commutative noetherian ring and $f: X \to \mathrm{Spec} R$ a proper smooth morphism, of relative dimension $n$. From Hartshorne, Residues and Duality, Springer, 1966, one knows that the trace map $\mathrm{Tr}_f : \mathrm{H}^n(X, ω_{X/R}) \to R$ is an isomorphism when $f$ has geometrically connected fibres. We construct an exact sequence that generates $\mathrm{Ext}_X^n(\mathcal{O}_X, ω_{X/R}) = \mathrm{H}^n(X, ω_{X/R})$ as an $R$-module in the following cases: (1) when $R$ is…

This https://arxiv.org/abs/2501.16263 has been replaced.
link: https://scholar.google.com/scholar?q=a

Rotation number and dynamics of 3-interval piecewise $λ$-affine contractions
We consider a family of piecewise contractions admitting a rotation number and defined for every $x\in[0,1)$ by $f(x)=λx + δ+ d θ_a(x) \pmod 1$, where $λ\in(0,1)$, $d\in(0,1-λ)$, $δ\in[0,1]$, $a\in[0,1]$ and $θ_a(x)=1$ if $x\geq a$ and $θ_a(x)=0$ otherwise. In the special case where $a=1$, the family reduces to the well studied ``contracted rotations" $x\mapsto λx + δ\pmod 1$, which are 2-interval piecewise $λ$-affine contractions when $δ\in(1-λ,1)$. Considering $a\in(0,1)$ allows …

Global existence of the solution of the modified Camassa-Holm equation with step-like boundary conditions
I. Karpenko, D. Shepelsky, G. Teschl
https://arxiv.org/abs/2507.02100

Global existence of the solution of the modified Camassa-Holm equation with step-like boundary conditions
We consider the Cauchy problem for the modified Camassa-Holm equation \[ u_t+\left((u^2-u_x^2)m\right)_x=0,\quad m\coloneqq u-u_{xx}, \quad t>0,\ \ -\infty

Permutation polynomials of the form $x \gamma \mathrm{Tr}(H(x))$
Yangcheng Li, Xuan Pang, Pingzhi Yuan, Yuanpeng Zeng
https://arxiv.org/abs/2507.00781 http…

Permutation polynomials of the form $x+γ\mathrm{Tr}(H(x))$
Given a polynomial \( H(x) \) over \(\mathbb{F}_{q^n}\), we study permutation polynomials of the form \( x + γ\mathrm{Tr}(H(x)) \) over \(\mathbb{F}_{q^n}\). Let \[P_H=\{γ\in \mathbb{F}_{q^n} : x+γ\mathrm{Tr}(H(x))~\text{is a permutation polynomial}\}.\] We present some properties of the set \(P_H\), particularly its relationship with linear translators. Moreover, we obtain an effective upper bound for the cardinality of the set \(P_H\) and show that the upper bound can reach up to $q^n - q^…

L'open-source selon l'ANSSI : "on a eu quelques forks, mais ça, on s'en fiche un peu" 🤣 #sstic
(mais sinon, l'outil Eurydice a l'air sympa ; le fait que j'ai participé Š un ancêtre de lidi influence surement ma perception 😅 C'est juste dommage d'avoir une posture intégriste sur "faut une diode sinon c'est naze")

This https://arxiv.org/abs/2501.00671 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Sylvester's problem for beta-type distributions
Consider $d+2$ i.i.d. random points $X_1,\ldots, X_{d+2}$ in $\mathbb R^d$. In this note, we compute the probability that their convex hull is a simplex focusing on three specific distributional settings: (i) the distribution of $X_1$ is multivariate standard normal; (ii) the density of $X_1$ is proportional to $(1-\|x\|^2)^β$ on the unit ball (the beta distribution); (iii) the density of $X_1$ is proportional to $(1+\|x\|^2)^{-β}$ (the beta prime distribution). In the Gau…

🇺🇦 Auf radioeins läuft...
The Black Keys:
🎵 Tighten Up
#NowPlaying #TheBlackKeys
https://goodrobotusses.bandcamp.com/track/tighten-up-bend-on-me-matchbox-twenty-bent-x-a-ha-take-on-me-x-the-black-keys-tighten-up
https://open.spotify.com/track/3C542UknrX76XSRXTyQ1Qg

All white male politicians look like Senator Kelly in X-Men, but like, AS he's turning into liquid

Getting almost all the bits from a quantum random access code
Han-Hsuan Lin (National Tsing Hua University, Taiwan), Ronald de Wolf (QuSoft, CWI,University of Amsterdam)
https://arxiv.org/abs/2506.01903

Getting almost all the bits from a quantum random access code
A quantum random access code (QRAC) is a map $x\mapstoρ_x$ that encodes $n$-bit strings $x$ into $m$-qubit quantum states $ρ_x$, in a way that allows us to recover any one bit of $x$ with success probability $\geq p$. The measurement on $ρ_x$ that is used to recover, say, $x_1$ may destroy all the information about the other bits; this is in fact what happens in the well-known QRAC that encodes $n=2$ bits into $m=1$ qubits. Does this generalize to large $n$, i.e., could there exist QRACs tha…

Coarse cone quotients
Ulrich Bunke
https://arxiv.org/abs/2507.01412 https://arxiv.org/pdf/2507.01412…

Coarse cone quotients
We study the coarse motive of the quotient $\mathcal{O}^{\infty}(X)//G$ of the cone of a uniform bornological coarse space $X$ with $G$-action. If $X$ admits a sufficiently ergodic probability measure, then we show that the coarse assembly map for $\mathcal{O}^{\infty}(X)//G$ is not an equivalence. The main ideas are taken from a recent paper by C. Kitsios, T. Schick and F. Vigolo (arXiv:2504.21811) and adapted to the formalism of coarse homotopy theory based on bornological coarse spaces devel…

X-ray spectroscopy method of white dwarf mass determination in intermediate polars. External systematic uncertainties
V. F. Suleimanov (IAAT, University of Tuebingen), L. Ducci (IAAT, University of Tuebingen), V. Doroshenko (IAAT, University of Tuebingen), K. Werner (IAAT, University of Tuebingen)
https://arxiv.org/abs/2506.0371…

X-ray spectroscopy method of white dwarf mass determination in intermediate polars. External systematic uncertainties
The masses of white dwarfs (WDs) in intermediate polars (IPs) can be determined from the shape of their hard X-ray spectra. Here we study the importance of all possible systematic uncertainties in this X-ray spectroscopy method, including finite radii and rotation of magnetospheres, finite accretion column height and accretion-flow inclination relative to the WD surface. We also investigate the importance of accretion-heated envelopes on WD surfaces in IPs which are increasing WD radii. Their p…

Wendelstein glüht! Nein, nicht der Berg in den Alpen, sondern der Fusionsreaktor! Ein wirklich interessanter Beitrag.
https://winfuture.de/news,151376.html

This https://arxiv.org/abs/2505.14806 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Place Cells as Position Embeddings of Multi-Time Random Walk Transition Kernels for Path Planning
The hippocampus orchestrates spatial navigation through collective place cell encodings that form cognitive maps. We reconceptualize the population of place cells as position embeddings approximating multi-scale symmetric random walk transition kernels: the inner product $\langle h(x, t), h(y, t) \rangle = q(y|x, t)$ represents normalized transition probabilities, where $h(x, t)$ is the embedding at location $ x $, and $q(y|x, t)$ is the normalized symmetric transition probability ove…

𝕐oδgδ в X: «Guardian angel..🐈🐾🐥🐥😍 https://t.co/lwXOjeHnMe» / X
https://x.com/Yoda4ever/status/1919031766066610642

TDCOSMO 2025 - cosmological constraints from strong lensing time delays: #H0 = 72-73, surprise, not) -> thread https://x.com/DScol/status/1930244844385120688

Good stuff for Mac Users. I’ve used it forever. Really handy, and it works well.
#Software #Mac #MacOS

St. Clair Software (@stclairsoft@mstdn.social)
Attached: 1 image Default Folder X 6.1.6 is out! It includes a Focus filter to automatically switch folder sets when you activate a macOS Focus. It's also faster in file dialogs and fixes issues with keyboard shortcuts, Finder-click, keyboard focus and making new folders. https://www.stclairsoft.com/blog/2025/05/13/default-folder-x-6-1-6-automatically-swap-favorites-and-default-folders-when-you-switch-macos-focus-modes

This https://arxiv.org/abs/2502.06200 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

On the query complexity of sampling from non-log-concave distributions
We study the problem of sampling from a $d$-dimensional distribution with density $p(x)\propto e^{-f(x)}$, which does not necessarily satisfy good isoperimetric conditions. Specifically, we show that for any $L,M$ satisfying $LM\ge d\ge 5$, $ε\in \left(0,\frac{1}{32}\right)$, and any algorithm with query accesses to the value of $f(x)$ and $\nabla f(x)$, there exists an $L$-log-smooth distribution with second moment at most $M$ such that the algorithm requires $\left(\frac{LM}{dε}\right)^{�…

Als Moderation: X will Community Notes von KI verfassen lassen
Bei X gibt es Community Notes als Moderationstool – sie korrigieren Inhalte. Künftig sollen die Kommentare von KI geschrieben werden.
h…

To Grok: "Why is Neuralink so vague about their Neuralink Blindsight brain implant, describing it as technology to "generate visual perception" - even unpatterned flashes of light qualify as such?" https://x.com/i/grok/share/vI84HuktzHHh093wRbd6YzHXl …

This https://arxiv.org/abs/2406.10189 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Topological rigidity of small RCD(K,N) spaces with maximal rank
For a polycyclic group $Λ$, $\text{rank} ( Λ)$ is defined as the number of $\mathbb{Z}$ factors in a polycyclic decomposition of $Λ$. For a finitely generated group $G$, $\text{rank} (G)$ is defined as the infimum of $ \text{rank} (Λ)$ among finite index polycyclic subgroups $Λ\leq G$. For a compact $\text{RCD} (K,N)$ space $(X,\mathsf{d}, \mathfrak{m})$ with $\text{diam} (X) \leq \varepsilon (K,N)$, the rank of $π_1(X)$ is at most $N$. We show that in case of equality, $X$ is homeomorphi…

Spherical designs for finite quaternionic unit groups and their applications to modular forms
Masatake Hirao, Hiroshi Nozaki, Koji Tasaka
https://arxiv.org/abs/2507.01358

Spherical designs for finite quaternionic unit groups and their applications to modular forms
For a finite subset $X$ of the $d$-dimensional unit sphere, the harmonic strength $T(X)$ of $X$ is the set of $\ell\in \mathbb{N}$ such that $\sum_{x\in X} P(x)=0$ for all harmonic polynomials $P$ of homogeneous degree $\ell$. We will study three exceptional finite groups of unit quaternions, called the binary tetrahedral group $2T$ of order 24, the octahedral group $2O$ of order 48, and the icosahedral group $2I$ of order 120, which can be viewed as a subset of the 3-dimensional unit sphere. F…

Encoding of Demographic and Anatomical Information in Chest X-Ray-based Severe Left Ventricular Hypertrophy Classifiers
Basudha Pal, Rama Chellappa, Muhammad Umair
https://arxiv.org/abs/2506.03192

Encoding of Demographic and Anatomical Information in Chest X-Ray-based Severe Left Ventricular Hypertrophy Classifiers
While echocardiography and MRI are clinical standards for evaluating cardiac structure, their use is limited by cost and accessibility.We introduce a direct classification framework that predicts severe left ventricular hypertrophy from chest X-rays, without relying on anatomical measurements or demographic inputs. Our approach achieves high AUROC and AUPRC, and employs Mutual Information Neural Estimation to quantify feature expressivity. This reveals clinically meaningful attribute encoding a…

Natura Urbana X - Perspectives 🏵️
城市自然 X - 角度 🏵️
📷 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.

General Numerical Radius for Products of Sectorial Matrices
Mohammad Alakhrass
https://arxiv.org/abs/2506.02042 https://arxiv.org/pdf…

General Numerical Radius for Products of Sectorial Matrices
In this paper, we investigate the generalized numerical radius $ω_N$, associated with a matrix norm $N$ defined by $ω_N(X) = \sup_{θ\in \mathbb{R}} N(\operatorname{Re}(e^{iθ}X))$. We focus on matrices whose numerical ranges are contained in sectors of the complex plane (sectorial matrices) and derive upper bounds for $ω_N(XY)$ and $ω_N(X \circ Y)$ for such matrices $X$ and $Y$. Our results generalize and refine well known numerical radius inequalities. Several known inequalities for $ω(X…

Single-Shot, Single-Mask X-ray Dark-field and Phase Contrast Imaging
Jingcheng Yuan, Mini Das
https://arxiv.org/abs/2506.02427 https://

Single-Shot, Single-Mask X-ray Dark-field and Phase Contrast Imaging
X-ray imaging, traditionally relying on attenuation contrast, struggles to differentiate materials with similar attenuation coefficients like soft tissues. X-ray phase contrast imaging (XPCI) and dark-field (DF) imaging provide enhanced contrast by detecting phase shifts and ultra-small-angle X-ray scattering (USAXS). However, they typically require complex and costly setups, along with multiple exposures to retrieve various contrast features. In this study, we introduce a novel single-mask X-r…

Tuning Incommensurate Charge Order in Ba$_{1-x}$Sr$_x$Al$_4$ and Ba$_{1-y}$Eu$_y$Al$_4$
Prathum Saraf, Eleanor M. Clements, Danila Sokratov, Shanta Saha, Peter Zavalij, Thomas W. Heitmann, Jeffrey W. Lynn, Camille Bernal-Choban, Dipanjan Chaudhuri, Caitlin Kengle, Yue Su, Simon Bettler, Nathan Manning, Peter Abbamonte, Sananda Biswas, Roser Valent\'i, Johnpierre Paglione

Tuning Incommensurate Charge Order in Ba$_{1-x}$Sr$_x$Al$_4$ and Ba$_{1-y}$Eu$_y$Al$_4$
The BaAl$_4$-type structure family is home to a vast landscape of interesting and exotic properties, with descendant crystal structures hosting a variety of electronic ground states including magnetic, superconducting and strongly correlated electron phenomena. BaAl$_4$ itself hosts a non-trivial topological band structure, but is otherwise a paramagnetic metal. However, the other members of the $A$Al$_4$ family ($A$= alkali earth), including SrAl$_4$ and EuAl$_4$, exhibit symmetry-breaking gro…

#X ist ein rechtsfreier Raum
https://www.arminwolf.at/2025/06/28/x-ist-ein-rechtsfreier-raum/ (von @…

This https://arxiv.org/abs/2502.15465 has been replaced.
link: https://scholar.google.com/scholar?q=a

Revisiting gluon density from the BK equation with kinematical constraint and large x terms
We perform analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms. The equation is defined in wide range of transverse momentum and longitudinal momentum fraction extending previous studies performed in \cite{Kutak:2003bd,Kutak:2004ym}. The linear part of the equation is motivated by the renormalization group improved small x approach which accounts for resummation of higher orders, and includes collinear splitting function and kine…

Huawei Pura X review: the ~$1,050, China-only clamshell is Huawei's first flagship running HarmonyOS 5, with novel ergonomics and an incomplete app ecosystem (Bloomberg)
https://www.bloomberg.com/news/features/20

This https://arxiv.org/abs/2208.00676 has been replaced.
link: https://scholar.google.com/scholar?q=a

A Pansiot-type subword complexity theorem for automorphisms of free groups
Inspired by Pansiot's work on substitutions, we prove a similar theorem for automorphisms of a free group F of finite rank: if a right-infinite word X represents an attracting fixed point of an automorphism of F, the subword complexity of X is equivalent to n, n log log n, n log n, or n^2. The proof uses combinatorial arguments analogue to Pansiot's as well as train tracks. We also define the recurrence complexity of X, and we apply it to laminations. In particular, we show that attracting lami…

Prediction of the SVOM MXT camera end of life spectral performance based onproton irradiation results
Clara Plasse, Diego G\"otz, Aline Meuris, Miguel Fernandez Moita, Philippe Ferrando, Leo Favier, Francesco Ceraudo
#toXiv_bot_toot

This https://arxiv.org/abs/2505.05098 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

X-Driver: Explainable Autonomous Driving with Vision-Language Models
End-to-end autonomous driving has advanced significantly, offering benefits such as system simplicity and stronger driving performance in both open-loop and closed-loop settings than conventional pipelines. However, existing frameworks still suffer from low success rates in closed-loop evaluations, highlighting their limitations in real-world deployment. In this paper, we introduce X-Driver, a unified multi-modal large language models(MLLMs) framework designed for closed-loop autonomous driving…

Run by an anonymous software engineer,
the twitter account
"Pentagon Pizza Report"
tracks Google data for pizzerias around the military complex in Arlington Virginia.
(Anonymized Google Maps data are aggregated from “timeline” or “location history” on phones, including visits made to the establishments.)
Often posting multiple times a day on X, PPR frequently singles out spikes in pizzeria activity,
-- allowing its 200,000-plus followers to dra…

Pentagon Pizza Report (@PenPizzaReport) on X
Pentagon Pizza Report: Open-source tracking of pizza spot activity around the Pentagon (and other places). Frequent-ish updates on where the lines are long.

This https://arxiv.org/abs/2303.17191 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the continuity of Følner averages
It is known that if each point $x$ of a dynamical system is generic for some invariant measure $μ_x$, then there is a strong connection between certain ergodic and topological properties of that system. In particular, if the acting group is abelian and the map $x\mapsto μ_x$ is continuous, then every orbit closure is uniquely ergodic. In this note, we show that if the acting group is not abelian, orbit closures may well support more than one ergodic measure even if $x\mapsto μ_x$ is contin…

This https://arxiv.org/abs/2306.15210 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Finite time blow-up of non-radial solutions for some inhomogeneous Schrödinger equations
This work studies the inhomogeneous Schrödinger equation $$ i\partial_t u-\mathcal{K}_{s,λ}u +F(x,u)=0 , \quad u(t,x):\mathbb{R}\times\mathbb{R}^N\to\mathbb{C}. $$ Here, $s\in\{1,2\}$, $N>2s$ and $λ>-\frac{(N-2)^2}{4}$. The linear Schrödinger operator reads $\mathcal{K}_{s,λ}:= (-Δ)^s +(2-s)\fracλ{|x|^2}$ and the focusing source term is local or non-local $$F(x,u)\in\{|x|^{-2τ}|u|^{2(q-1)}u,|x|^{-τ}|u|^{p-2}(J_α*|\cdot|^{-τ}…

This https://arxiv.org/abs/2310.19597 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Automorphism groups of $\mathbb{P}^1$-bundles over ruled surfaces
We classify the pairs $(X,π)$, where $π\colon X\to S$ is a $\mathbb{P}^1$-bundle over a non-rational ruled surface $S$ and $\mathrm{Aut}^\circ(X)$ is relatively maximal, i.e., maximal with respect to the inclusion in the group $\mathrm{Bir}(X/S)$. The results hold over any algebraically closed field of characteristic zero.

In an email, The Bulwark says it has tripled its Substack subscribers in the past year and now has 100K paid and 830K total subscribers (Max Tani/@maxwelltani)
https://x.com/maxwelltani/status/1940490752272093229

Max Tani (@maxwelltani) on X
In an email, @BulwarkOnline says it has tripled its subscribers in the past year, and now has 100K paid, 830K total subscribers on Substack. The media outlet also says it also now has 1.3 million subscribers on YouTube.

Gameplay enthüllt: Battlemarked bringt Dungeons & Dragons in die Virtual Reality
Mit Demeo x Dungeons & Dragons: Battlemarked erscheint ein Tabletop-RPG mit D&D-Lizenz für VR-Brillen, PC und Konsolen. Ein Trailer zeigt nun erstmals Gameplay.

An algorithm to determine LS-category and Ginsburg invariant of any rationally elliptic space
M. T. K. Abassi, A. Acharqy, K. Boutahir, Y. Rami
https://arxiv.org/abs/2507.02590

An algorithm to determine LS-category and Ginsburg invariant of any rationally elliptic space
Let $X$ be a rationally elliptic space. Utilizing the Gorenstein algebra structure of $X$, we present three algorithms that together induce a generating class of $Ext^N_{(ΛV,d)}(\mathbb{Q},(ΛV,d))$ with $N$ being the formal dimension of $X$. From these algorithms, we derive an algorithm to compute the rational Lusternik-Schnirelmann category $cat_0(X)$. Furthermore, by applying a spectral sequence argument based on the {\it Eilenberg-Moore spectral sequence}, we compute the rational Ginsburg …

X-ray polarization of Z-type neutron star low-mass X-ray binaries -- I. Model-independent, time-resolved X-ray polarimetry
Andrea Gnarini, Francesco Ursini, Giorgio Matt, Stefano Bianchi, Fiamma Capitanio, Massimo Cocchi, Sergio Fabiani, Ruben Farinelli, Antonella Tarana
https://arxiv.org/abs/2507.00302

X-ray polarization of Z-type neutron star low-mass X-ray binaries -- I. Model-independent, time-resolved X-ray polarimetry
Z-sources are a particular class of neutron star low-mass X-ray binaries characterized by a wide Z-like track in their hard colorsoft color (or hardness-intensity) diagrams, with three branches: the horizontal (HB), the normal (NB), and the flaring branch (FB). Spectropolarimetric observations with the Imaging X-ray Polarimetry Explorer (IXPE) show that the polarization in these sources varies along the Z-track, reaching unexpectedly high values in the HB. In this work, we collected all the pol…

This https://arxiv.org/abs/2504.19616 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Exploring circumstellar chemistry in X-ray emitting AGB stars
Aims. Our goal is to characterize the chemistry and physical conditions of the circumstellar envelopes (CSEs) of Asymptotic Giant Branch (AGB) binary candidate stars with UV-excess and X-ray emission, in particular, to identify the effects of the internal X-ray emission in the abundance of certain key molecules. Methods. We observed the 86.0-94.0 and 260.0-272.5 GHz spectral ranges searching for rotational transitions of the X-ray sensitive molecule $HCO^{+}$ in four AGB stars, two of them dete…

Observation of Dual Spin Reorientation Transitions in Polycrystalline CeCr$_x$Fe$_{1-x}$O$_3$(x=0.33 and 0.67)
Stephen Tsui, Sara J. Callori
https://arxiv.org/abs/2506.22709

Observation of Dual Spin Reorientation Transitions in Polycrystalline CeCr$_x$Fe$_{1-x}$O$_3$(x=0.33 and 0.67)
We investigate the magnetic behavior of polycrystalline CeCr$_x$Fe$_{1-x}$O$_3$ (x = 0, 0.33, 0.67, and 1) synthesized via solid state reaction. Rare earth orthoferrite and orthochromite materials are well known for exhibiting spin reorientation transitions. Cr$^{3+}$ doping in CeFeO$_3$ results in the unusual occurrence of two spin reorientation transitions, $Γ_4$(G$_x$, A$_y$, F$_z$) $\rightarrow$ $Γ_1$(A$_x$, G$_y$, C$_z$) near 230 K and $Γ_4$(G$_x$, A$_y$, F$_z$) $\rightarrow$ $Γ_2$(F$_…

I'll be presenting a lightning talk on secret provisioning using Terraform anywhere between 16h30 and 18h at #pts25

Steady state and relaxation dynamics of run and tumble particles in contact with a heat bath
R. K. Singh, Oded Farago
https://arxiv.org/abs/2506.02645 http…

Steady state and relaxation dynamics of run and tumble particles in contact with a heat bath
We study the relaxation dynamics of a run and tumble particle in a one-dimensional piecewise linear potential $U(x)=b|x|$, from delta-function initial conditions at $x=0$ to steady state. In addition to experiencing active telegraphic noise, the particle is in contact with a heat bath at temperature $T$ that applies white thermal noise. We find that the position distribution of the RTP is described by a sum of two distributions ("modes"), each of which of the form $P(x,t\to\infty)\sim…

This https://arxiv.org/abs/2406.07575 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the largest prime factor of quadratic polynomials
Let $x$ denote a sufficiently large integer. We show that the recent result of Grimmelt and Merikoski actually yields the largest prime factor of $n^2 +1$ is greater than $x^{1.317}$ infinitely often. As an application, we give a new upper bound for the number of integers $n \leqslant x$ which $n^2 +1$ has a primitive divisor.

Verbandsklage: Tiktok soll Verbrauchern Schadenersatz zahlen
Die gemeinnützige Stiftung Somi hat sich auf Datenschutz-Sammelklagen von Verbrauchern gegen Techriesen spezialisiert. Nach der Plattform X ist nun Tiktok dran.

On the rate of convergence in the CLT for LSS of large-dimensional sample covariance matrices
Jiang Cui, Jiang Hu, Zhidong Bai, Guorong Hu
https://arxiv.org/abs/2506.02880

On the rate of convergence in the CLT for LSS of large-dimensional sample covariance matrices
This paper investigates the rate of convergence for the central limit theorem of linear spectral statistic (LSS) associated with large-dimensional sample covariance matrices. We consider matrices of the form ${\mathbf B}_n=\frac{1}{n}{\mathbf T}_p^{1/2}{\mathbf X}_n{\mathbf X}_n^*{\mathbf T}_p^{1/2},$ where ${\mathbf X}_n= (x_{i j} ) $ is a $p \times n$ matrix whose entries are independent and identically distributed (i.i.d.) real or complex variables, and ${\mathbf T} _p$ is a $p\times p$ nonr…

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

This https://arxiv.org/abs/2502.10527 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

Algorithms and Hardness for Estimating Statistical Similarity
We introduce and study the computational problem of determining statistical similarity between probability distributions. For distributions $P$ and $Q$ over a finite sample space, their statistical similarity is defined as $S_{\mathrm{stat}}(P, Q) := \sum_x \min(P(x), Q(x))$. Despite its fundamental nature as a measure of similarity between distributions, capturing essential concepts such as Bayes error in prediction and hypothesis testing, this computational problem has not been previously exp…

Enhancing Photon Indistinguishability of Spectrally Mismatched Single Photons by Cavity Floquet Engineering
J. W. Yu, X. Q. Zhou, Z. B. Ni, X. T. Cheng, Y. Zhao, H. H. Zhu, C. H. Li, F. Liu, C. Y. Jin
https://arxiv.org/abs/2507.02460

Enhancing Photon Indistinguishability of Spectrally Mismatched Single Photons by Cavity Floquet Engineering
We theoretically propose a scheme to enhance the photon indistinguishability of spectrally mismatched single photons via Floquet-engineered optical frequency combs (OFCs) in cavity quantum electrodynamic systems. By periodically modulating two distinct single-photon states under a modulation frequency which is exactly equal to the spectral mismatch of two cavity modes, a pair of single-photon frequency-comb (SPFC) states is prepared energy-conservatively based on full unitary operations. The tw…

X-ray observations of Nova Sco 2023: Spectroscopic evidence of charge exchange
Sharon Mitrani, Ehud Behar, Marina Orio, Jack Worley
https://arxiv.org/abs/2507.02465

X-ray observations of Nova Sco 2023: Spectroscopic evidence of charge exchange
The super-soft source (SSS) phase of a nova eruption, observed a few days after the outburst, usually displays an absorbed X-ray thermal continuum with absorption features, emitted by the white dwarf (WD) atmosphere. However, the X-ray spectra of many novae in this phase display additional emission lines which likely originate from shocks in the novae ejecta. When the shocked plasma interacts with cold gas, narrow radiative recombination continua (RRCs) and charge exchange (CX) emission are obs…

🇺🇦 Auf radioeins läuft...
Empire Of The Sun:
🎵 Standing On The Shore
#NowPlaying #EmpireOfTheSun
https://teambbc.bandcamp.com/track/empire-of-the-sun-x-standing-on-the-shore
https://open.spotify.com/track/5g7Qylrck8rh2lUgEWPQVS

This https://arxiv.org/abs/2404.10377 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Separating Variables in Bivariate Polynomial Ideals: the Local Case
We present a semi-algorithm which for any irreducible $p\in\mathbb{K}[x,y]$ finds all elements of $\mathbb{K}(x) + \mathbb{K}(y)$ that are of the form $qp$ for some $q\in\mathbb{K}(x,y)$ whose denominator is not divisible by $p$.

On some Fr\'echet spaces associated to the functions satisfying Mulholland inequality
Lav Kumar Singh, Aljosa Peperko
https://arxiv.org/abs/2507.01661 …

On some Fréchet spaces associated to the functions satisfying Mulholland inequality
In this article we explore a new growth condition on Young functions, which we call Mulholland condition, pertaining to the mathematician H.P Mulholland, who studied these functions for the first time, albeit in a different context. We construct a non-trivial Young function $Ω$ which satisfies Mulholland condition and $Δ_2$-condition. We then associate exotic $F$-norms to the vector space $X_1\oplus X_2$, where $X_1$ and $X_2$ are Banach spaces, using the function $Ω$. This $F$-spaces contai…

This https://arxiv.org/abs/2412.17457 has been replaced.
initial toot: https://mastoxiv.page/@a…

Optical Properties and Spin States of Inter-layer Carbon Defect Pairs in Hexagonal Boron Nitride: A First-Principles Study
Substitutional carbon defects in hexagonal boron nitride (hBN) are prominent single photon emitters (SPEs), and their potential for spin activity ($S\geq1$) is particularly intriguing. While studies have largely focused on intra-layer defects, we employ density functional theory (DFT) to investigate inter-layer dimers of identical carbon species (C$_X$C$_X$). We demonstrate that these C$_X$C$_X$ pairs can exhibit a stable triplet spin state at room temperature when closely spaced (e.g., within …

On the subsystems 0f certain almost Markov shifts
Wolfgang Krieger
https://arxiv.org/abs/2507.02717 https://arxiv.org/pdf/2507.02717

On the subsystems 0f certain almost Markov shifts
For an aperiodic subshift of finite type Y and for a subshift X with topological entropy less than the topological entropy of Y, it was proved in Krieger: On the subsystems of topological Markov chains, Ergodic theory and dynamical systems 1982, 2, 195-202, that the necessary condition on the periodic points of X and Y for the existence of an embedding of X int Y is also sufficient for the existence of an embedding of X into Y. In this note we extend this theorem to a certain class of almost Ma…

Generalized Hardy's identity for the astroid-type p-circle lattice point problem
Masaya Kitajima
https://arxiv.org/abs/2506.03331 https://

Generalized Hardy's identity for the astroid-type p-circle lattice point problem
Let $r$ be a positive real number and $p$ satisfy $(2/p)\in\mathbb{N}$. Then, we consider the lattice point problem of the closed curves astroid-type $p$-circle $\{x\in\mathbb{R}^{2}|\ |x_{1}|^{p}+|x_{2}|^{p}=r^{p}\}$ which generalize the circle. In investigating the asymptotic behavior of the error term in the area approximation of the circle, G.H. Hardy conjectured an infimum for the evaluation in 1917. One of the grounds for this conjecture is the Hardy's identity, w…

This https://arxiv.org/abs/2505.15915 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On spatial decay for coherent states of the Benjamin-Ono equation
We consider solutions to the Benjamin-Ono equation $$\partial_t u - H \partial_x^2 u = -\partial_x(u^2)$$ which are localized in a reference frame moving to the right with constant speed. We show that any such solution that decays at least like $\langle x\rangle^{-1-ε}$ for some $ε> 0$ in a comoving coordinate frame must in fact decay like $\langle x\rangle^{-2}$. In view of the explicit soliton solutions, this decay rate is sharp. Our proof has two main ingredients. The first is microloc…

The Szczarba map and the cubical cobar construction
Matthias Franz
https://arxiv.org/abs/2507.01669 https://arxiv.org/pdf/2507.01669

The Szczarba map and the cubical cobar construction
We consider a twisting function from a 1-reduced simplicial set $X$ to a simplicial group $G$. We prove in detail that the associated Szczarba operators induce a simplicial map from the triangulation of the cubical cobar construction of $X$ to $G$. This confirms a result due to Minichiello-Rivera-Zeinalian and gives, as pointed out by these authors, a conceptual proof of the fact that the dga map $Ω\,C(X) \to C(G)$ induced by Szczarba's twisting cochain is comultiplicative.

This https://arxiv.org/abs/2009.14324 has been replaced.
link: https://scholar.google.com/scholar?q=a

Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach
This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian variety is reduced. The error is in page 7, line $ -14$, where we claim that the divisor "mathcal E" on the variety $X$ is linearly equivalent to zero. This is untrue. For instance, it would imply that, for a non-torsion point $x$ on an abelian surface $A$, letting $E_x$, $E_{-x}$, and $E_0$ the exceptional curves in th…

In a note to staff, Axios says it is changing its AI policy, which promised "NO AI-written stories", as it was "unnecessarily limiting" given AI's progress (Max Tani/@maxwelltani)
https://x.com/maxwelltani/status/1940037748796047854

Max Tani (@maxwelltani) on X
Axios is changing  its editorial policies to be more friendly to AI use. In a recent note to staff, Axios said it was revising its AI language. "The new language replaces our original framing which was centered on how everything we do 'will be written or produced by a real

On the origin of the X-ray emission surrounding PSR B0656 14 in the eROSITA Cal-PV data
Alena Khokhriakova, Werner Becker, Peter Predehl, Jeremy S. Sanders, Michael Freyberg, Axel Schwope
https://arxiv.org/abs/2507.02750

On the origin of the X-ray emission surrounding PSR B0656+14 in the eROSITA Cal-PV data
We present a cautionary assessment of the extended X-ray emission around PSR B0656+14 in eROSITA Cal-PV data in response to the work of Niu et al. 2025 (arXiv:2501.17046). The eROSITA PSF model is known to underestimate emission in the wings beyond 1'. This prevents a reliable detection of faint nebular emission around PSR B0656+14 as claimed in arXiv:2501.17046. In addition, spectral analysis shows the surrounding diffuse X-rays can be fitted with the same 2BB+PL model as the pulsar's emission…

Xbox says Arrowhead's Helldivers 2 will arrive on the Xbox Series X and S on August 26 for $40, the first PlayStation-published title to launch on Xbox (Cameron Faulkner/The Verge)
https://www.theverge.com/news/697430/helldivers-2-xbox…

Helldivers 2 is the first PlayStation-published Xbox game
The first PlayStation-published game is arriving on Xbox on August 26th. Helldivers 2 will bring cross play and all of the hilarity we know and love.

This https://arxiv.org/abs/2408.14648 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Induced Saturation of the Poset 2C_2
Given a set $X$, the power set $\mathbb{P}(X)$, and a finite poset $P$, a family $F\subset \mathbb{P}(X)$ is said to be induced-$P$-free if there is no injection $ϕ: P\rightarrow \mathbb{F}$ such that $ϕ(p)\subseteqϕ(q)$ if and only if $p\leq_{P} q$, for all $p, q \in P$. The family $F$ is induced-$P$-saturated if it is maximal with respect to being induced-$P$-free. If $n=|X|$, then the size of the smallest induced-$P$-saturated family in $\mathbb{P}(X)$ is denoted $sat(n,P)$. T…

Ami·es journalistes : saviez-vous que vous pouvez trahir vos sources par l'utilisation d'une messagerie chiffrée protégeant mal votre graph social (c'est-Š-dire "qui parle Š qui") ?
Avec la complicité des États-Unis (pour Signal et Matrix) ou de la France (pour Olvid), c'est pourtant le cas.
Pour en savoir plus, je donne une conférence sur la protection des métadonnées par les messageries chiffrées Š @…

🇺🇦 Auf radioeins läuft...
Sam Sauvage:
🎵 Les Gens Qui Dansent (jadore)
#NowPlaying #SamSauvage
https://erickbastide.bandcamp.com/track/sam-sauvage-les-gens-qui-dansent-jadore-erick-b-x-tended-mix
https://open.spotify.com/track/0kgZ7YqklQkVLV8SoEi5Us

This https://arxiv.org/abs/2009.14324 has been replaced.
link: https://scholar.google.com/scholar?q=a

Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach
This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian variety is reduced. The error is in page 7, line $ -14$, where we claim that the divisor "mathcal E" on the variety $X$ is linearly equivalent to zero. This is untrue. For instance, it would imply that, for a non-torsion point $x$ on an abelian surface $A$, letting $E_x$, $E_{-x}$, and $E_0$ the exceptional curves in th…

This https://arxiv.org/abs/2502.12423 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Local well-posedness for a system of modified KdV equations in modulation spaces
In this work, we consider the initial value problem (IVP) for a system of modified Korteweg-de Vries (mKdV) equations \begin{equation*} \begin{cases} \partial_t v + \partial_x^3 v+ \partial_x (v w^2) = 0, \hspace{0.98 cm} v(x,0)=ψ(x),\\ \partial_t w + α\partial_x^3 w+\partial_x (v^2 w) = 0,\hspace{0.5 cm} w(x,0)=ϕ(x). \end{cases} \end{equation*} The main interest is in addressing the well-posedness issues of the IVP when the initial data are considered in the modulation space $M_s^{2,p}(…

This https://arxiv.org/abs/2408.08689 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The splitting of the de Rham cohomology of soft function algebras is multiplicative
Let $A$ be a real soft function algebra. In arXiv:2208.11431 we have obtained a canonical splitting $\mathrm{H}^* (Ω^\bullet _{A|\mathrm{R}}) \cong \mathrm{H} ^* (X,\mathrm{R})\oplus \text{(something)}$ via the canonical maps $Λ_A:\mathrm{H} ^* (X,\mathrm{R})\to\mathrm{H} ^* (Ω^\bullet _{A|\mathrm{R}})$ and $Ψ_A:\mathrm{H} ^* (Ω^\bullet _{A|\mathrm{R}})\to\mathrm{H} ^* (X,\mathrm{R})$. In this paper we prove that these maps are multiplicative.

X aims to roll out an "XChat" messaging feature "with encryption, vanishing messages and the ability to send any kind of file" to all users this week (Sarah Perez/TechCrunch)
https://techcrunch.com/2025/06/02/elon

Elon Musk says XChat is rolling out to all, but questions remain about its alleged security | TechCrunch
Elon Musk on Sunday announced that a new version of X's Direct Messaging (DM) feature, XChat, was rolling out with support for features like vanishing

Probing the semiconductor-to-dirac semimetal transition in Na-Sb-Bi alloys with x-ray Compton scattering
Aki Pulkkinen, Veenavee Nipunika Kothalawala, Kosuke Suzuki, Bernardo Barbiellini, Johannes Nokelainen, Wei-Chi Chiu, Bahadur Singh, Hsin Lin, Alok K. Pandey, Naoaki Yabuuchi, Naruki Tsuji, Yoshiharu Sakurai, Hiroshi Sakurai, J\'an Min\'ar, Arun Bansil

Probing the semiconductor-to-dirac semimetal transition in Na-Sb-Bi alloys with x-ray Compton scattering
We discuss electron redistribution during the Semiconductor-to-Dirac Semimetal transition in Na-Sb-Bi alloys using x-ray Compton scattering experiments combined with first-principles electronic structure modeling. A robust signature of the semiconductor-to-Dirac semimetal transition is identified in the spherically averaged Compton profile. We demonstrate how the number of electrons involved in this transition can be estimated to provide a novel descriptor for quantifying the strength of spin-o…

Threads bekommt Direktnachrichten sowie Highlighter für angesagte Themen
Die X-Alternative von Meta erlaubt erstmals Messaging von und zu Followern, doch es gibt Kritik. Der Highlighter entspricht den Trends des ehemaligen Twitter.

Pinched Arnol'd tongues for Families of circle maps
Philip Boyland
https://arxiv.org/abs/2506.02988 https://arxiv.org/pdf/2506.02…

Pinched Arnol'd tongues for Families of circle maps
The family of circle maps \begin{equation*} f_{b, ω} (x) = x + ω+ b\, ϕ(x) \end{equation*} is used as a simple model for a periodically forced oscillator. The parameter $ω$ represents the unforced frequency, $b$ the coupling, and $ϕ$ the forcing. When $ϕ= \frac{1}{2 π} \sin(2 πx)$ this is the classical Arnol'd standard family. Such families are often studied in the $(ω,b)$-plane via the so-called tongues $T_β$ consisting of all $(ω,b)$ such that $f_{b, ω}$ has rotation number $β$. …

On the number of exceptional intervals to the prime number theorem in short intervals
Ayla Gafni, Terence Tao
https://arxiv.org/abs/2505.24017 https://

On the number of exceptional intervals to the prime number theorem in short intervals
For a fixed exponent $0 < θ\leq 1$, it is expected that we have the prime number theorem in short intervals $\sum_{x \leq n < x+x^θ} Λ(n) \sim x^θ$ as $x \to \infty$. From the recent zero density estimates of Guth and Maynard, this result is known for all $x$ for $θ> \frac{17}{30}$ and for almost all $x$ for $θ> \frac{2}{15}$. Prior to this work, Bazzanella and Perelli obtained some upper bounds on the size of the exceptional set where the prime number theorem in short intervals fails. We…

A note on the uniqueness properties of solutions for the Schr\"odinger-Korteweg de Vries system
Eddye Bustamante, Jos\'e Jim\'enez Urrea, Jorge Mej\'ia
https://arxiv.org/abs/2507.01733

A note on the uniqueness properties of solutions for the Schrödinger-Korteweg de Vries system
In this work we prove that if $(u_i,v_i)$, $i=1,2$, are smooth enough solutions of the coupled Schrödinger-Korteweg-de Vries system \begin{align*} \left. \begin{array}{rl} i u_t+\partial_x^2 u &\hspace{-2mm}=βuv - |u|^2 u,\\ \partial_t v + \partial_x^3 v &\hspace{-2mm}=γ\partial_x |u|^2-\frac12\partial_x (v^2) \end{array} \right\} \end{align*} with appropriate decay at infinity such that at two different times $t_0=0$ and $t_1=1$ satisfy that $$u_1(0)-u_2(0),u_1(1)-u_2(1)…

Measuring black hole spins with X-ray reflection spectroscopy: A GRMHD outlook
Swarnim Shashank, Askar B. Abdikamalov, Honghui Liu, Abdurakhmon Nosirov, Cosimo Bambi, Indu K. Dihingia, Yosuke Mizuno
https://arxiv.org/abs/2507.02583

Measuring black hole spins with X-ray reflection spectroscopy: A GRMHD outlook
X-ray reflection spectroscopy has evolved as one of the leading methods to measure black hole spins. However, the question is whether its measurements are subjected to systematic biases, especially considering the possible discrepancy between the spin measurements inferred with this technique and those from gravitational wave observations. In this work, we use general relativistic magnetohydrodynamic (GRMHD) simulations of thin accretion disks around spinning black holes for modeling the accret…

Share of news influencers on Bluesky has doubled after the 2024 US election to 43%, but X remains popular, with 82% of news influencers maintaining an account (Pew Research Center)
https://www.pewresearch.org/short-reads/20

Bluesky has caught on with many news influencers, but X remains popular
The share of news influencers in our sample with a Bluesky account roughly doubled in the four months after Election Day 2024, from 21% beforehand to 43% by March.

Tailoring the Electronic Properties of Monoclinic (InxAl1-x)2O3 Alloys via Substitutional Donors and Acceptors
Mohamed Abdelilah Fadla, Myrta Gr\"uning, Lorenzo Stella
https://arxiv.org/abs/2507.02805

Tailoring the Electronic Properties of Monoclinic (InxAl1-x)2O3 Alloys via Substitutional Donors and Acceptors
Ultra-wide bandgap semiconductors such as \b{eta}-Ga2O3 are ideal materials for next-generation power electronic devices. Electronic and mechanical properties of \b{eta}-Ga2O3 can be tuned by alloying with other sesquioxides, notably Al2O3 and In2O3. Moreover, by tuning the In content of a (InxAl1-x)2O3 alloy, its lattice constants can be matched to those of Ga2O3, while preserving a large conduction-band offset. In view of potential applications to \b{eta}-Ga2O3-based heterostructure, we perfo…

This https://arxiv.org/abs/2311.01835 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Surjective rational maps and del Pezzo surfaces
We study surjective (not necessarily regular) rational endomorphisms $f$ of smooth del Pezzo surfaces $X$. We prove that under certain natural non\,-\,degeneracy condition $f$ can have degree bigger than $1$ only when $(-K_X^2) > 5$. Some structural properties of $f$ in the case $X = \p^2$ are also established.

Muckenhoupt-weighted $L_q(L_p)$ boundedness for time-space fractional nonlocal operators
Yong Zhen Yang, Yong Zhou
https://arxiv.org/abs/2507.01890 https:/…

Muckenhoupt-weighted $L_q(L_p)$ boundedness for time-space fractional nonlocal operators
Based on the $ϕ(Δ)$-type operator studied by Kim \cite[\emph{Adv.~Math.}]{Kim2}, where $ϕ$ is a Bernstein function, we establish weighted $L_{q}(L_{p})$ estimates for solutions to the following fractional evolution equation: $$ \partial_{t}^αw(t,x) = ϕ(Δ)w(t,x) + h(t,x), \quad t > 0, \; x \in \mathbb{R}^{d}, $$ where $\partial_{t}^α$ denotes the Caputo derivative of $0 < α< 1$. To be specific, for all $1 < p, q < \infty$, we demonstrate that $$ \int_{0}^{\infty} \left( \int_{\mathbb{R}^…

A Comprehensive study of time delay between optical/near-infrared and X-ray emissions in black hole X-ray binaries
Dizhan Du, Bei You, Zhen Yan, Xinwu Cao, Jean-Marie Hameury, Yue Wu
https://arxiv.org/abs/2507.00578

A Comprehensive study of time delay between optical/near-infrared and X-ray emissions in black hole X-ray binaries
We conducted a comprehensive study of daily delays using multi-wavelength data from a sample of well-studied black hole X-ray binaries, specifically focusing on the sources GX 339-4, 4U 1543-47, and XTE J1550-564. The Interpolated-Correlation Function method was employed to investigate the temporal relationship between the X-ray (Compton component) and optical-infrared (OIR) emissions. Our results show that during the rising hard state, the Compton emission consistently lags behind OIR emission…

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
Anna-Maria Raukh
https://arxiv.org/abs/2506.04094 https://

Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$
Given a hypersurface $i \colon X \hookrightarrow \widetilde{P}^n$ in a weighted projective space, we compute the intersection form on the second cohomology $H^2(X, \mathbb{Z})^{\otimes n-1} \to \mathbb{Z}$ for the purpose of identifying Fano manifolds obtained from smoothing singular Fanos. In the process, we describe the integer cohomology groups $H^k(X, \mathbb{Z})$ for $k

Google pauses the rollout of Photos' AI-powered Ask Photos feature due to issues with latency, quality, and user experience, per a Google product manager on X (Hayden Field/The Verge)
https://www.theverge.com/news/678858/google-photos-ask-…

Google quietly paused the rollout of its AI-powered ‘Ask Photos’ search feature
Google paused the rollout of “Ask Photos,” its Gemini AI-powered natural language search feature in Google Photos, citing problems with speed and quality.

Spatiotemporal Mapping of Anisotropic Thermal Transport in GaN Thin Films via Ultrafast X-ray Diffraction
Thanh Nguyen, Chuliang Fu, Mouyang Cheng, Buxuan Li, Tyra E. Espedal, Zhantao Chen, Kuan Qiao, Kumar Neeraj, Abhijatmedhi Chotrattanapituk, Denisse Cordova Carrizales, Eunbi Rha, Tongtong Liu, Shivam N. Kajale, Deblina Sarkar, Donald A. Walko, Haidan Wen, Svetlana V. Boriskina, Gang Chen, Jeehwan Kim, Mingda Li

Spatiotemporal Mapping of Anisotropic Thermal Transport in GaN Thin Films via Ultrafast X-ray Diffraction
Efficient thermal management is essential for the reliability of modern power electronics, where increasing device density leads to severe heat dissipation challenges. However, in thin-film systems, thermal transport is often compromised by interfacial resistance and microscale defects introduced during synthesis or transfer, which are difficult to characterize using conventional techniques. Here we present a non-contact, spatiotemporal-resolved ultrafast x-ray diffraction method to extract in-…

Generic vanishing theory in positive characteristic
Jefferson Baudin
https://arxiv.org/abs/2507.00771 https://arxiv.org/pdf/2507.0077…

Generic vanishing theory in positive characteristic
We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal variety $X$ of maximal Albanese dimension satisfies $H^0(X, ω_X) \neq 0$ and that if $\mathrm{Alb}(X)$ is ordinary, then $S^0(X, ω_X) \neq 0$.

This https://arxiv.org/abs/2411.18486 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A new potential method for the $X_{\rm max}$ measurement of extensive air showers based on backtracking radio signals
{Measurements of cosmic-ray composition based on air-shower measurements rely mostly on the determination of the position of the shower maximum ($X_\mathrm{max}$). One efficient technique is to image the development of the air shower using fluorescence telescopes. An alternative technique that has made significant advances in the recent years is to measure the radio emission from air shower. Common methods for $X_\mathrm{max}$ determination in the radio detection technique include fitting a two…

The One Big Beautiful Bill approved by Congress allows immediate deduction of US software labor; foreign R&D still must be amortized over 15 years (KBKG)
https://www.kbkg.com/feature/house-passes-tax-bill-sending-to-president-for-signature…

House Passes Tax Bill Sending to President for Signature – Details Inside
Follow KBKG on Social Media Linkedin Facebook X-twitter Youtube By Gian Pazzia and Paul McVoy | Research & Development Tax Credits Breaking News –

Unramified Brauer groups of homogeneous spaces with finite stabilisers and the Grunwald Problem
Lucas Lagarde
https://arxiv.org/abs/2506.02600 https://

Unramified Brauer groups of homogeneous spaces with finite stabilisers and the Grunwald Problem
We provide an algorithm for calculating the unramified Brauer group of a homogeneous space $X$ of a semi-simple simply connected group $H$ with finite geometric stabiliser over any field of characteristic 0. When $k$ is a number field, we use the obtained description of the unramified Brauer group in order to study the Brauer-Manin obstruction to weak approximation on $X$. In particular, we provide an algorithm to compute the Brauer-Manin obstruction on $X$, which guarantees effectivity of the …