Tootfinder

Positive traces on certain $\operatorname{SL}(2)$ Coulomb branches
Daniil Klyuev, Joseph Vulakh
https://arxiv.org/abs/2507.19447 https://arxiv.org/pdf/2507…

Positive traces on certain $\operatorname{SL}(2)$ Coulomb branches
For a noncommutative algebra $A$ and an antilinear automorphism $ρ$ of $A$ there is a notion of a positive trace. Positive traces appear in study of supersymmetric gauge theories. We classify positive traces on $A$ in two cases. The first case is when $A$ is a quantization of a Kleinian singularity of type $D$, with certain restriction on the quantization parameter. The second case is when $A=K^{\operatorname{SL}(2,\mathbb{C}[[t]])\rtimes \mathbb{C}_q^{\times}}(\operatorname{Gr}_{\operatorname…

Self-expanders of positive genus
Guanhua Shao, Jiahua Zou
https://arxiv.org/abs/2507.19428 https://arxiv.org/pdf/2507.19428

Self-expanders of positive genus
For a general class of cones in $\mathbb{R}^3$, we construct self-expanders of positive genus asymptotic to these cones. As a result, we use these self-expanders to construct a mean curvature flow with genus strictly decreasing but not to zero at the first singular time. We also construct a sequence of self-expanders with unbounded genus which are asymptotic to the same rotationally symmetric cone.

Bounded volume class and Cheeger isoperimetric constant for negatively curved manifolds
Ervin Hadziosmanovic
https://arxiv.org/abs/2507.20247 https://arxiv…

Bounded volume class and Cheeger isoperimetric constant for negatively curved manifolds
We prove that for strictly negatively curved manifolds of infinite volume and bounded geometry, the bounded fundamental class, defined via integration of the volume form over straight top-dimensional simplices, vanishes if and only if the Cheeger isoperimetric constant is positive. This gives a partial affirmative answer to a conjecture of Kim and Kim. Furthermore, we show that for all strictly negatively curved manifolds of infinite volume, the positivity of the Cheeger constant implies the va…

An extension of Priestley duality to fuzzy topologies and positive MV-algebras
Marby Zuley Bola\~nos Ortiz, Ciro Russo
https://arxiv.org/abs/2508.19423 https://

An extension of Priestley duality to fuzzy topologies and positive MV-algebras
We extend Priestley Duality to suitable categories of fuzzy topological spaces and ordered algebraic structures that generalize bounded distributive lattices. The duality we prove extends not only classical Priestley Duality between Priestley Spaces and bounded distributive lattices, but also the duality between limit cut complete MV-algebras and Stone MV-topological spaces (proved by the second author in a previous paper) which, on its turn, is an extension of classical Stone Duality.

Curves in projective space and RSK
Carl Lian, Saskia Solotko
https://arxiv.org/abs/2508.19503 https://arxiv.org/pdf/2508.19503

Curves in projective space and RSK
The geometric Tevelev degrees of projective space enumerate general, pointed algebraic curves interpolating through the maximal possible number of points. Previous work expresses these invariants in terms of Schubert calculus. Extending ideas of Gillespie--Reimer-Berg, we use the RSK correspondence to give a positive interpretation of these counts in terms of the combinatorics of words.

Signature maps from positive cones on algebras with involution
Vincent Astier, Thomas Unger
https://arxiv.org/abs/2505.22178 https://…

Signature maps from positive cones on algebras with involution
We introduced positive cones in an earlier paper as a notion of ordering on central simple algebras with involution that corresponds to signatures of hermitian forms. In the current paper we describe signatures of hermitian forms directly out of positive cones, and also use this approach to rectify a problem that affected some results in the previously mentioned paper.

ICYMI some positive news from this week: 'UK can reach net zero by 2050, climate report finds'
'Climate Change Committee says current targets could be met provided country takes ‘steps forward’ to achieve them'
https://www.theguardian.co…

This https://arxiv.org/abs/2412.09107 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Divisibility of the Multiplicative Order Modulo Monic Irreducible Polynomials Over Finite Fields
We consider the set of monic irreducible polynomials $P$ over a finite field $\mathbb{F}_q$ such that the multiplicative order modulo $P$ of some a in $\mathbb{F}_q(T)$ is divisible by a fixed positive integer $d$. Call $R_q(a,d)$ this set. We show the existence or non-existence of the density of $R_q(a,d)$ for three distinct notions of density. In particular, the sets $R_q(a,d)$ have a Dirichlet density. Under some assumptions, we prove simple formulas for the density values.

Cohomology of the stratified fundamental group of curves
V. Q. Bao, P. H. Hai, D. V. Thinh
https://arxiv.org/abs/2507.20020 https://arxiv.org/pdf/2507.2002…

Cohomology of the stratified fundamental group of curves
Let X be a smooth projective curve over a perfect field k of positive characteristic. This work investigates the relationship between stratified cohomology and group cohomology of the stratified fundamental group of X.

Static spacetimes with a Finsler angular sector
Erasmo Caponio
https://arxiv.org/abs/2508.20658 https://arxiv.org/pdf/2508.20658

Static spacetimes with a Finsler angular sector
We consider static spacetimes in spherical coordinates whose angular sector is described by a Finsler metric rather than the standard round metric on $S^2$. Our first contribution is kinematical: keeping the lapse and radial factors $e^{ν(r)}$, $e^{\vartheta(r)}$ arbitrary and using only Killing symmetries and the null constraint, we derive model--independent relations for circular photon orbits and the effective dynamics. Specializing the Finsler metric to a positive constant flag curvature R…

Liouville theorems for anisotropic $p$-Laplace equations with a semilinear term
Weizhao Liang, Tian Wu, Jin Yan
https://arxiv.org/abs/2507.20182 https://ar…

Liouville theorems for anisotropic $p$-Laplace equations with a semilinear term
In this paper, we investigate Liouville theorems for solutions to the anisotropic $p$-Laplace equation $$-Δ_p^H u=-\operatorname{div}(a(\nabla u))=f(u),\quad\text{in }\mathbb{R}^n,$$ where the semilinear term $f$ may be positive, negative, or sign-changing. When $f$ is positive (negative) and satisfies certain conditions, Serrin's technique is applied to show that every positive supersolution (subsolution) must be constant. For the subcritical case, we use the invariant tensor method to prove …

🇺🇦 #NowPlaying on KEXP's #DriveTime
Positive K:
🎵 I Got a Man
#PositiveK
https://thebeatvault1.bandcamp.com/track/positive-k-i-got-a-man
https://open.spotify.com/track/4iAYo83eWlktjw97oebIal

In push for more soldiers, Russia recruits HIV-positive prisoners, civilians: https://benborges.xyz/2025/08/26/in-push-for-more-soldiers.html

Just Dork and Crawl: Measuring Illegal Online Gambling Defacement in Indonesian Websites
Luqman Muhammad Zagi, Girindro Pringgo Digdo, Wervyan Shalannanda
https://arxiv.org/abs/2508.19368

Just Dork and Crawl: Measuring Illegal Online Gambling Defacement in Indonesian Websites
This study investigates the defacement of Indonesian websites by actors promoting illegal online gambling. Using a lightweight methodology that combines keyword-driven dorking with systematic crawling, we identified 453 defaced webpages within one month. Although dorking alone yielded a false positive rate of approximately 20.3\%, the integration of crawling and keyword-counting enabled reliable differentiation between true and false positives. Our measurements revealed diverse defacement behav…

Shift-generated $\alpha$-homogeneous classes of jointly measurable random fields
Enkelejd Hashorva
https://arxiv.org/abs/2507.18835 https://arxiv.org/pdf/2…

Shift-generated $α$-homogeneous classes of jointly measurable random fields
We consider a class of shift-generated alpha-homogeneous random fields (RFs) C[Z] defined through a functional identity involving a fixed positive alpha and a given jointly measurable R^d-valued RF Z(t),t in R^l. The significance of such classes lies in the fact that their elements generate max-stable and stationary RFs. We extend the original functional identity to a broad class of functionals, including the integral operator S(.) and prove that C[Z] contains at least one L^alpha-continuous el…

The Effect of Pointer Analysis on Semantic Conflict Detection
Matheus Barbosa, Paulo Borba, Rodrigo Bonif\'acio, Victor Lira, Galileu Santos
https://arxiv.org/abs/2507.20081

The Effect of Pointer Analysis on Semantic Conflict Detection
Current merge tools don't detect semantic conflicts, which occur when changes from different developers are textually integrated but semantically interfere with each other. Although researchers have proposed static analyses for detecting semantic conflicts, these analyses suffer from significant false positive rates. To understand whether such false positives could be reduced by using pointer analysis in the implementation of semantic conflict static analyses, we conduct an empirical study. We …

Beyond QWERTY: A pressure-based text input approach for XR that enables a touch-typing like experience
Fabian R\"ucker, Torben Storch
https://arxiv.org/abs/2507.20741 https…

Beyond QWERTY: A pressure-based text input approach for XR that enables a touch-typing like experience
Text input in extended reality (XR) applications remains inefficient and tedious. Most solutions are derived from the traditional keyboard layout, yet fail to translate its positive characteristics to the spatial digital realm. This limits the productive use of immersive technologies. In this work, we analyze physical keyboard input to identify key characteristics that facilitate its comfort, touch typing and high typing speeds. Building on these findings, we propose a novel pressure- based tex…

Maximizing entropy for power-free languages
Vaughn Climenhaga
https://arxiv.org/abs/2507.18779 https://arxiv.org/pdf/2507.18779

Maximizing entropy for power-free languages
A power-free language is characterized by the number of symbols used and a limit on how many times a block of symbols can repeat consecutively. For certain values of these parameters, it is known that the number of legal words grows exponentially fast with respect to length. In the terminology of dynamical systems and ergodic theory, this means that the corresponding shift space has positive topological entropy. We prove that in many cases, this shift space has a unique measure of maximal ent…

Independence Testing for Mixed Data
Dana Bucalo Jeli\'c, Marija Cupari\'c, Bojana Milo\v{s}evi\'c
https://arxiv.org/abs/2507.20609 https://arxi…

Independence Testing for Mixed Data
We consider the problem of testing independence in mixed-type data that combine count variables with positive, absolutely continuous variables. We first introduce two distinct classes of test statistics in the bivariate setting, designed to test independence between the components of a bivariate mixed-type vector. These statistics are then extended to the multivariate context to accommodate: (i) testing independence between vectors of different types and possibly different dimensions, and (ii) …

Hypo-paradoxical Linkages: Linkages That Should Move-But Don't
Nir Shvalb, Oded Medina
https://arxiv.org/abs/2507.20371 https://arxiv.org/pdf/2507.2037…

Hypo-paradoxical Linkages: Linkages That Should Move-But Don't
While paradoxical linkages famously violate the Chebyshev-Grubler-Kutzbach criterion by exhibiting unexpected mobility, we identify an opposing phenomenon: a class of linkages that appear mobile according to the same criterion, yet are in fact rigid. We refer to these as hypo-paradoxical linkages, and proceed to analyze and illustrate their behavior. We use the same tools to further explain the unexpected positive mobility of Bennet mechanism.

MathBuddy: A Multimodal System for Affective Math Tutoring
Debanjana Kar, Leopold B\"oss, Dacia Braca, Sebastian Maximilian Dennerlein, Nina Christine Hubig, Philipp Wintersberger, Yufang Hou
https://arxiv.org/abs/2508.19993

MathBuddy: A Multimodal System for Affective Math Tutoring
The rapid adoption of LLM-based conversational systems is already transforming the landscape of educational technology. However, the current state-of-the-art learning models do not take into account the student's affective states. Multiple studies in educational psychology support the claim that positive or negative emotional states can impact a student's learning capabilities. To bridge this gap, we present MathBuddy, an emotionally aware LLM-powered Math Tutor, which dynamically models the st…

Extreme points of unital completely positive maps invariant under partial action
Chaitanya J. Kulkarni, Md Amir Hossain
https://arxiv.org/abs/2507.20797 https://

Extreme points of unital completely positive maps invariant under partial action
The classical Choquet theorem establishes a barycentric decomposition for elements in a compact convex subset of a locally convex topological vector space. This decomposition is achieved through a probability measure that is supported on the set of extreme points of the subset. In this work, we consider a partial action $τ$ of a group $G$ on a $C^\ast$-algebra $\mathcal{A}$. For a fixed Hilbert space $\mathcal{H}$, we consider the set of all unital completely positive maps from $\mathcal{A}$ t…

Invariant distances on spaces of Legendrians
Pierre-Alexandre Arlove
https://arxiv.org/abs/2507.18724 https://arxiv.org/pdf/2507.18724

Invariant distances on spaces of Legendrians
We construct new unbounded invariant distances on the universal cover of certain Legendrian isotopy classes. This is the first instance where unboundedness of an invariant distance is obtained without assuming the existence of a positive loop of contactomorphisms. We also show that invariant distances on Legendrian isotopy classes have to be discrete.

Positive Geometry for Stringy Scalar Amplitudes
Christoph Bartsch, Karol Kampf, David Podivin, Jonah Stalknecht
https://arxiv.org/abs/2508.20161 https://ar…

Positive Geometry for Stringy Scalar Amplitudes
We introduce a new positive geometry, the associahedral grid, which provides a geometric realization of the inverse string theory KLT kernel. It captures the full $α'$-dependence of stringified amplitudes for bi-adjoint scalar $ϕ^3$ theory, pions in the NLSM, and their mixed $ϕ$/$π$ amplitudes, reducing to the corresponding field theory amplitudes in the $α'\to 0$ limit. Our results demonstrate how positive geometries can be utilized beyond rational functions to capture stringy features of…

Parameterised Counting Constraint Satisfaction Problems via Holants on Hypergraphs
Panagiotis Aivasiliotis, Andreas G\"obel, Marc Roth
https://arxiv.org/abs/2508.19794 http…

Parameterised Counting Constraint Satisfaction Problems via Holants on Hypergraphs
We study the complexity of the parameterised counting constraint satisfaction problem: given a set of constraints over a set of variables and a positive integer $k$, how many ways are there to assign $k$ variables to 1 (and the others to 0) such that all constraints are satisfied. Existing work has so far exclusively focused on restricted settings such as finding and counting homomorphisms between relational structures due to Grohe (JACM 2007) and Dalmau and Jonsson (TCS 2004), or the case of f…

On Alperin's conjecture and functorial equivalence of blocks
Robert Boltje, Serge Bouc, Deniz Y{\i}lmaz
https://arxiv.org/abs/2507.20314 https://arxiv.…

On Alperin's conjecture and functorial equivalence of blocks
Let $k$ be an algebraically closed field of positive characteristic $p$ and let $\mathbb{F}$ be an algebraically closed field of characteristic 0. We consider Alperin's weight conjecture (over $k$) from the point of view of (stable) functorial equivalence of blocks over $\mathbb{F}$. We formulate a functorial version of Alperin's blockwise weight conjecture, and show that it is equivalent to the original one. We also show that this conjecture holds stably, i.e., in the category of stable diagon…

Crosslisted article(s) found for math.LO. https://arxiv.org/list/math.LO/new
[1/1]:
- An extension of Priestley duality to fuzzy topologies and positive MV-algebras
Marby Zuley Bola\~nos Ortiz, Ciro Russo

Smith normal forms of bivariate polynomial matrices
Dong Lu, Dingkang Wang, Fanghui Xiao, Xiaopeng Zheng
https://arxiv.org/abs/2507.20889 https://arxiv.org…

Smith normal forms of bivariate polynomial matrices
In 1978, Frost and Storey asserted that a bivariate polynomial matrix is equivalent to its Smith normal form if and only if the reduced minors of all orders generate the unit ideal. In this paper, we first demonstrate by constructing an example that for any given positive integer s with s >= 2, there exists a square bivariate polynomial matrix M with the degree of det(M) in y equal to s, for which the condition that reduced minors of all orders generate the unit ideal is not a sufficient condit…

Cowboys Headlines: NFL world reacts to Micah Parsons news; is it 'worst trade ever'? https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/08/29/news-headlines-august-28-2025-micah-par…

A triptych on Starhawk, who developed some of the most poignantly insightful ideas in structural theories of power, among the many philosophers, sociologists, and psychologists who wrote about theories of power in the 20th century
Note that the second and third image come from the *same book*, in the first and second chapters
I…did not expect woo poetry on magic and sexuality in a book that's highly cited by writers on theories of power

Ces\`aro-type operators on mixed norm spaces
\'Oscar Blasco, Alejandro Mas
https://arxiv.org/abs/2507.20586 https://arxiv.org/pdf/2507.20586

Cesàro-type operators on mixed norm spaces
Given a positive Borel measure $μ$ on $[0,1)$ and a parameter $β>0$, we consider the Cesàro-type operator $\mathcal C_{μ,β}$ acting on the analytic function $f(z)=\sum_{n=0}^\infty a_n z^n$ on the unit disc of the complex plane $\mathbb D$, defined by \[ \mathcal C_{μ,β}(f)(z)= \sum_{n=0}^\infty μ_n \left( \sum_{k=0}^n \frac{Γ(n-k+β)}{(n-k)! Γ(β)} a_k \right) z^n = \int_0^1 \frac{f(tz)}{(1-tz)^β} dμ(t), \] where $μ_n=\int_0^1 t^n dμ(t)$. This operator generalizes the classical C…

Anthropic releases preliminary results showing users who discuss emotional issues with Claude tend to grow more positive as conversations progress (Megan Morrone/Axios)
https://www.axios.com/2025/06/26/anthropic-claude-companion-therapist-coach…

Exclusive: How Claude became an emotional support bot
The research shows users grow more positive while chatting with Claude.

#AfD #osnabruck propagiert im Kommunalwahlprogramm #CommunityPolicing als positive Maßnahme zur Zusammenarbeit zwischen Polizei und Bürgern. Das führt nur zu sozialer Kontrolle bzw Denunziation, was Vertra…

Spectra of composition operators on Paley-Wiener spaces and some consequences
Carlos F. \'Alvarez, O. R. Severiano
https://arxiv.org/abs/2508.19975 https://

Spectra of composition operators on Paley-Wiener spaces and some consequences
Bounded composition operators in Paley-Wiener spaces have ones simple forms, and they jsut operators composed through affine mappings of the complex plane. The purpose of this article is to explore some notions about bounded operators and linear dynamics and provide complete answers for composition operators in Paley-Wiener spaces concerning to compactness, spectrum, spectral radius, Li-Yorke chaos, positive expansivity, positive shading property, and Cesàro's absolute boundedness.

How music criticism lost its edge: since the 2010s, outlets like Pitchfork have abandoned extremely low scores, and critics face harassment for negative reviews (Kelefa Sanneh/New Yorker)
https://www.newyorker.com/magazine/2025/09/01/how-music-…

How Music Criticism Lost Its Edge
Reviews of rock, pop, and other music have generally become more positive, Kelefa Sanneh writes, looking at outlets including Rolling Stone, Pitchfork, the Village Voice, and YouTube.

Revisiting the Radial Metallicity Gradient-Age Relation in the Milky Way's Thin and Thick Disks
Ao Chen, Juntai Shen, Chun Wang, Yang Huang
https://arxiv.org/abs/2508.20386 …

Revisiting the Radial Metallicity Gradient-Age Relation in the Milky Way's Thin and Thick Disks
Galactic disks typically exhibit a negative radial metallicity gradient, indicating faster enrichment in the inner regions. Recent studies report that this gradient becomes flatter with increasing stellar age in the Milky Way's (MW) thin disk, while the thick disk exhibits a mildly positive gradient across all ages. In this work, we revisit the metallicity gradient-age relation (MGAR) in both the thin and thick disks of the MW. We use spectroscopic data from LAMOST DR8 and stellar ages calibrat…

Multiscale Modeling of Positive Corona Discharges
Giuseppe Cali\`o, Fabio Ragazzi, Arturo Popoli, Andrea Cristofolini, Lorenzo Valdettaro, Carlo De Falco, Paolo Barbante
https://arxiv.org/abs/2507.19337

Multiscale Modeling of Positive Corona Discharges
In the field of corona discharges, the complex chemical mechanisms inside the ionization region have prompted the development of simplified models to replicate the macroscopic effects of ion generation, thereby reducing the computational effort, especially in two and three dimensional simulations. We propose a methodology that allows to replace the ionization process with appropriate boundary conditions used by a corona model solving the drift region. We refer to this model as macro-scale, sinc…

Training for Obsolescence? The AI-Driven Education Trap
Andrew J. Peterson
https://arxiv.org/abs/2508.19625 https://arxiv.org/pdf/2508.19625

Training for Obsolescence? The AI-Driven Education Trap
Artificial intelligence simultaneously transforms human capital production in schools and its demand in labor markets. Analyzing these effects in isolation can lead to a significant misallocation of educational resources. We model an educational planner whose decision to adopt AI is driven by its teaching productivity, failing to internalize AI's future wage-suppressing effect on those same skills. Our core assumption, motivated by a pilot survey, is that there is a positive correlation between…

Optimal quantum simulation of linear non-unitary dynamics
Guang Hao Low, Rolando D. Somma
https://arxiv.org/abs/2508.19238 https://arxiv.org/pdf/2508.19238…

Optimal quantum simulation of linear non-unitary dynamics
We present a quantum algorithm for simulating the time evolution generated by any bounded, time-dependent operator $-A$ with non-positive logarithmic norm, thereby serving as a natural generalization of the Hamiltonian simulation problem. Our method generalizes the recent Linear-Combination-of-Hamiltonian-Simulation (LCHS) framework. In instances where $A$ is time-independent, we provide a block-encoding of the evolution operator $e^{-At}$ with $\mathcal{O}\big(t\log\frac{1}ε)$ queries to the …

Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
Sheng-Quan Wang, Zuo-Fen Liao, Jian-Ming Shen, Hua Zhou, Jia-Wei Zhang, Jiang Yan, Xing-Gang Wu, Leonardo Di Giustino
https://arxiv.org/abs/2507.20479

Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
NNLO QCD corrections for the pion electromagnetic form factor at large momentum transfer have been recently performed in [Phys. Rev. Lett. 132, 201901 (2024); Phys. Rev. Lett. 134, 221901 (2025)], revealing that the NLO and NNLO contributions are positive and sizeable. Unfortunately, these predictions have been obtained using the conventional scale-setting method and thus they are plagued by large renormalization scale ambiguities. In this paper, we analyze the pion electromagnetic form factor …

This https://arxiv.org/abs/2409.11082 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Most totally real fields do not have universal forms or Northcott property
We show that, in the space of all totally real fields equipped with the constructible topology, the set of fields that admit a universal quadratic form, or have the Northcott property, is meager. The main tool is a new theorem on the number of square classes of totally positive units represented by a quadratic lattice of a given rank.

HVO, die ineffizente Lachnummer!
https://www.heise.de/news/Untersuchung-HVO100-Kraftstoff-klimaschaedlicher-als-Diesel-10591006.html

Untersuchung: "HVO100-Kraftstoff klimaschädlicher als Diesel"
Eine Untersuchung kommt zu dem Schluss, dass Kraftstoff aus alten Speiseöl unter Umständen keine positive Klimabilanz hat. Kritik folgt prompt.

Rank one summands of Frobenius pushforwards of line bundles on G/P
Feliks R\k{a}czka
https://arxiv.org/abs/2507.20759 https://arxiv.org/pdf/2507.20759

Rank one summands of Frobenius pushforwards of line bundles on G/P
Let $X=G/P$ be a partial flag variety, where $G$ is a semi-simple, simply connected algebraic group defined over an algebraically closed field $K$ of positive characteristic. Let $\mathsf{F}\colon X\to X$ be the absolute Frobenius morphism. Given a line bundle $\mathscr{L}$ on $X$ and an integer $r\geq1$, we describe all line bundles that are direct summands of the pushforward $\mathsf{F}_{*}^{r}\mathscr{L}$. For $\mathscr{L}$ corresponding to a dominant weight, we also compute, for $r$ suffici…

Emerging Semantic Segmentation from Positive and Negative Coarse Label Learning
Le Zhang, Fuping Wu, Arun Thirunavukarasu, Kevin Bronik, Thomas Nichols, Bartlomiej W. Papiez
https://arxiv.org/abs/2508.18186

Emerging Semantic Segmentation from Positive and Negative Coarse Label Learning
Large annotated datasets are vital for training segmentation models, but pixel-level labeling is time-consuming, error-prone, and often requires scarce expert annotators, especially in medical imaging. In contrast, coarse annotations are quicker, cheaper, and easier to produce, even by non-experts. In this paper, we propose to use coarse drawings from both positive (target) and negative (background) classes in the image, even with noisy pixels, to train a convolutional neural network (CNN) for …

This https://arxiv.org/abs/1604.06440 has been replaced.
link: https://scholar.google.com/scholar?q=a

An end-to-end construction of doubly periodic minimal surfaces
Using Traizet's regeneration method, we prove that for each positive integer n there is a family of embedded, doubly periodic minimal surfaces with parallel ends in Euclidean space of genus 2n-1 and 4 ends in the quotient by the maximal group of translations. The genus 2n-1 family converges smoothly to 2n copies of Scherk's doubly periodic minimal surface. The only previously known doubly periodic minimal surfaces with parallel ends and genus greater than 3 limit in a foliation of Euclidean spa…

Adapted Renormalized Volume for Hyperbolic 3-Manifolds with Compressible Boundary
Viola Giovannini
https://arxiv.org/abs/2507.19291 https://arxiv.org/pdf/2…

Adapted Renormalized Volume for Hyperbolic 3-Manifolds with Compressible Boundary
The renormalized volume is a smooth function associating to every convex co-compact hyperbolic $3$-manifold $M$ a real number. When the boundary of $M$ is incompressible, the renormalized volume is always positive, otherwise there are sequences of convex co-compact structures on $M$ whose renormalized volumes diverge to minus infinity. We define here a new version of the renormalized volume which adapts to the compressible boundary case, satisfying properties analogous to those of the classic…

I tend to post about the downsides of AI.
Here are two articles by people I highly respect which show a very positive point of view related to #AI:
https://lucumr.pocoo.org/2025/6/4/changes/…

Positive Neutrino Masses with DESI DR2 via Matter Conversion to Dark Energy: #DarkEnergy offers a cure to hiccups in our understanding of the universe, including the mass of ghost-like particles called neutrinos.

This https://arxiv.org/abs/2501.05590 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Negative Ties Highlight Hidden Extremes in Social Media Polarization
Human interactions in the online world comprise a combination of positive and negative exchanges. These diverse interactions can be captured using signed network representations, where edges take positive or negative weights to indicate the sentiment of the interaction between individuals. Signed networks offer valuable insights into online political polarization by capturing antagonistic interactions and ideological divides on social media platforms. This study analyzes polarization on Menéam…

Commanders' Bobby Wagner on ownership stake in WNBA's Storm: 'I want to be on the right side of change' https://www.nfl.com/news/commanders-bobby-wagner-on-ownership-stake-in-wnba-s-storm-i-want-to-be-on-t…

On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Sam Evans, Perrine Jouteur, Sophie Morier-Genoud, Valentin Ovsienko
https://arxiv.org/abs/2507.19080

On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
We consider a natural $q$-deformation of the classical Markov numbers. This $q$-deformation is closely related to $q$-deformed rational numbers recently introduced by two of us. Both notions, those of $q$-rationals and $q$-Markov numbers, are based on invariance with respect to the action of the modular group $mathrm{PSL}(2,\mathbb{Z})$. We prove that every Markov number has a unique $q$-deformation, which is a monic unimodal palindromic Laurent polynomial with positive integer coefficients. Th…

Planar percolation and the loop O(n) model
Alexander Glazman, Matan Harel, Nathan Zelesko
https://arxiv.org/abs/2508.20917 https://arxiv.org/pdf/2508.20917…

Planar percolation and the loop O(n) model
We show that a large class of site percolation processes on any planar graph contains either zero or infinitely many infinite connected components. The assumptions that we require are: tail triviality, positive association (FKG) and that the set of open vertices is stochastically dominated by the set of closed ones. This covers the case of Bernoulli site percolation at parameter $p\leq 1/2$ and resolves Conjecture 8 from the work of Benjamini and Schramm from 1996. Our result also implies that …

A nice and positive read, thanks @… for sharing it!
https://blog.nelhage.com/post/computers-can-be-understood/

Peripheral Poisson Boundary: Extensions and Examples
B V Rajarama Bhat, Astrid Swizell Dias
https://arxiv.org/abs/2507.20668 https://arxiv.org/pdf/2507.206…

Peripheral Poisson Boundary: Extensions and Examples
The main purpose of this article is to explore the possibility of extending the notion of peripheral Poisson boundary of unital completely positive (UCP) maps to contractive completely positive (CCP) maps and to unital and non-unital contractive quantum dynamical semigroups on von Neumann algebras. We observe that the theory extends easily in the setting of von Neumann algebras and normal maps. Surprisingly, the peripheral Poisson boundary is unital, whenever it is nontrivial, even for contract…

Asymmetry of curl eigenfields solving Woltjer's variational problem
Daniel Peralta-Salas, David Perrella, David Pfefferl\'e
https://arxiv.org/abs/2506.21243

Asymmetry of curl eigenfields solving Woltjer's variational problem
We construct families of rotationally symmetric toroidal domains in $\mathbb R^3$ for which the eigenfields associated to the first (positive) Ampèrian curl eigenvalue are symmetric, and others for which no first eigenfield is symmetric. This implies, in particular, that minimizers of the celebrated Woltjer's variational principle do not need to inherit the rotational symmetry of the domain. This disproves the folk wisdom that the eigenfields corresponding to the lowest curl eigenvalue must be…

Backward Harnack inequality and Hamilton estimates for heat type equations
Juanling Lu, Yuting Wu, Qi S. Zhang
https://arxiv.org/abs/2508.19680 https://arx…

Backward Harnack inequality and Hamilton estimates for heat type equations
Based on gradient estimates for the heat equation by Hamilton, we discover a backward in time Harnack inequality for positive solutions on compact manifolds without further restrictions such as boundedness or vanishing boundary value for solutions. Contrary to the usual Harnack inequality, it allows comparison of the values of a solution at two different space time points, in both directions of time. In view of the importance of the usual Harnack inequality, further application is expected.

Burst: Collaborative Curation in Connected Social Media Communities
Yutong Zhang, Taeuk Kang, Sydney Yeh, Anavi Baddepudi, Lindsay Popowski, Tiziano Piccardi, Michael S. Bernstein
https://arxiv.org/abs/2508.19768

Burst: Collaborative Curation in Connected Social Media Communities
Positive social interactions can occur in groups of many shapes and sizes, spanning from small and private to large and open. However, social media tends to binarize our experiences into either isolated small groups or into large public squares. In this paper, we introduce Burst, a social media design that allows users to share and curate content between many spaces of varied size and composition. Users initially post content to small trusted groups, who can then burst that content, routing it …

I love this App!
These people are too classy to even hint at this but if you like them and what they do - consider leaving a 5 star review in both the Mac & iOS app stores, and if you have positive things to say, write a quick 2 paragraph review - the buzz helps.
https://iconfactory.world/@Iconfactory

The Iconfactory (@Iconfactory@iconfactory.world)
Attached: 1 image :tot_app: Your text companion is tiny but now it's also mighty! Tot 2 launches today and features new text dividers, automatic indents, a redesigned UI, customizable smart bullets & much more. Tot for iOS is a free upgrade for 1.0 owners. macOS is free to use with paid premium features. Available now for iOS, macOS & watchOS. Learn more - https://blog.iconfactory.com/2025/08/tot-version-2-says-hello/ #TotRocks

Connections between hyperlinearity, stability and character rigidity for higher rank lattices
Alon Dogon, Itamar Vigdorovich
https://arxiv.org/abs/2506.20843

Connections between hyperlinearity, stability and character rigidity for higher rank lattices
Let $Γ$ be an irreducible lattice in a semisimple Lie group of real rank at least $2$. Suppose that $Γ$ has property (T;FD), that is, its finite dimensional representations have a uniform spectral gap. We show that if $Γ$ is (flexibly) Hilbert--Schmidt stable then: $(a)$ infinite central extensions $\widetildeΓ$ of $Γ$ are not hyperlinear, and $(b)$ every character of $Γ$ is either finite-dimensional or induced from the center (character rigidity). As a consequence, a positive answer to t…

Deciding Termination of Simple Randomized Loops
\'El\'eanore Meyer, J\"urgen Giesl
https://arxiv.org/abs/2506.18541 https://

Deciding Termination of Simple Randomized Loops
We show that universal positive almost sure termination (UPAST) is decidable for a class of simple randomized programs, i.e., it is decidable whether the expected runtime of such a program is finite for all inputs. Our class contains all programs that consist of a single loop, with a linear loop guard and a loop body composed of two linear commuting and diagonalizable updates. In each iteration of the loop, the update to be carried out is picked at random, according to a fixed probability. We s…

This https://arxiv.org/abs/2210.04851 has been replaced.
link: https://scholar.google.com/scholar?q=a

Pfister's local-global principle for Azumaya algebras with involution
We prove Pfister's local-global principle for hermitian forms over Azumaya algebras with involution over semilocal rings, and show in particular that the Witt group of nonsingular hermitian forms is $2$-primary torsion. Our proof relies on a hermitian version of Sylvester's law of inertia, which is obtained from an investigation of the connections between a pairing of hermitian forms extensively studied by Garrel, signatures of hermitian forms, and positive semidefinite quadratic forms.

Hamiltonian torus actions and the unimodality of odd Betti numbers
Nicholas Lindsay
https://arxiv.org/abs/2507.19601 https://arxiv.org/pdf/2507.19601

Hamiltonian torus actions and the unimodality of odd Betti numbers
This paper is dedicated to the question: Is the sequence of odd and even Betti numbers of a closed symplectic manifold with a non-trivial Hamiltonian torus action unimodal? Recently, there was some progress on the question for the sequence of even Betti numbers by Cho-Kim and the author. The results of this paper give positive evidence in the case of odd Betti numbers, in dimensions $6,8$ and $10$ under progressively stronger symmetry assumptions.

Resurgent structure of 2d Yang-Mills theory on a torus
Jiashen Chen, Jie Gu, Xin Wang
https://arxiv.org/abs/2507.19943 https://arxiv.org/pdf/2507.19943

Resurgent structure of 2d Yang-Mills theory on a torus
We study the resurgent structure of the topological string dual to 2d $U(N)$ Yang-Mills on torus. We find closed form formulas for instanton amplitudes up to arbitrarily high instanton orders, based on which we propose the non-perturbative partition function including contributions from all the real instantons, which is real for positive modulus and string coupling. We also explore complex instantons and find two infinite towers of them. We expect them to correspond to BPS states in type II str…

On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $\text{GL}(2N, F)$
David C. Luo, Shaun Stevens
https://arxiv.org/abs/2505.22357

On the Local Converse Theorem for Depth $\frac{1}{N}$ Supercuspidal Representations of $\text{GL}(2N, F)$
In this paper, we use type theory to construct a family of depth $\frac{1}{N}$ minimax supercuspidal representations of $\text{GL}(2N, F)$ which we call middle supercuspidal representations. These supercuspidals may be viewed as a natural generalization of simple supercuspidal representations, i.e. those supercuspidals of minimal positive depth. Via explicit computations of twisted gamma factors, we show that middle supercuspidal representations may be uniquely determined through twisting by qu…

Exploring the fusion power plant design space: comparative analysis of positive and negative triangularity tokamaks through optimization
T. Slendebroek, A. O. Nelson, O. M. Meneghini, G. Dose, A. G. Ghiozzi, J. Harvey, B. C. Lyons, J. McClenaghan, T. F. Neiser, D. B. Weisberg, M. G. Yoo, E. Bursch, C. Holland
https://arxiv.org/abs/2507.196…

Exploring the fusion power plant design space: comparative analysis of positive and negative triangularity tokamaks through optimization
The optimal configuration choice between positive triangularity (PT) and negative triangularity (NT) tokamaks for fusion power plants hinges on navigating different operational constraints rather than achieving specific plasma performance metrics. This study presents a systematic comparison using constrained multi-objective optimization with the integrated FUsion Synthesis Engine (FUSE) framework. Over 200,000 integrated design evaluations were performed exploring the trade-offs between capital…

The index of the cosmological horizon and the area-charge-inequality
Neilha Pinheiro
https://arxiv.org/abs/2508.19490 https://arxiv.org/pdf/2508.19490

The index of the cosmological horizon and the area-charge-inequality
In this article, we investigate the index of the MOTS given by a spatial cross section of the cosmological horizon in the Kerr-Newman-de Sitter spacetime. We show that its index is one in the symmetrized sense for a small positive parameter a, such parameter defines the angular momentum. As an application, we prove that this MOTS is unstable. We also establish an estimate relating the area and the charge of a MOTS of index one in a Cauchy data satisfying the dominant energy condition.

Replaced article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- Abundance for threefolds in positive characteristic when $\nu=2$
Zheng Xu
htt…

Sources: GPT-5 shows improved performance in coding, particularly in practical software engineering tasks, outperforming prior OpenAI models and Claude Sonnet 4 (Stephanie Palazzolo/The Information)
https://www.theinformation.com/articles/openais-gpt-5-shines-coding…

OpenAI’s GPT-5 Shines in Coding Tasks
GPT-5 is almost here, and we’re hearing good things. The early reaction from at least one person who’s used the unreleased version was extremely positive.That’s good news for OpenAI. The ChatGPT creator has been under pressure to show major gains from its next big artificial intelligence model ...

Optimal decay of semi-uniformly stable operator semigroups with empty spectrum
Morgan Callewaert, Lenny Neyt, Jasson Vindas
https://arxiv.org/abs/2507.20376 https://

Optimal decay of semi-uniformly stable operator semigroups with empty spectrum
We show that it is impossible to quantify the decay rate of a semi-uniformly stable operator semigroup based on sole knowledge of its spectrum. More precisely, given an arbitrary positive function $r$ vanishing at $\infty$, we construct a Banach space $X$ and a bounded semigroup $ (T(t))_{t \geq 0}$ of operators on it whose infinitesimal generator $A$ has empty spectrum $σ(A)=\varnothing$, but for which, for some $x \in X$, $$\limsup_{t\to\infty} \frac{\|T(t)A^{-1}x\|_{X}}{r(t)}=\inf…

On energy bounds in asymptotically locally AdS spacetimes
Virinchi Rallabhandi
https://arxiv.org/abs/2508.19108 https://arxiv.org/pdf/2508.19108

On energy bounds in asymptotically locally AdS spacetimes
This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a positive energy theorem is derived for such spacetimes in terms of geometric data intrinsic to the cross-section. This is followed by the first complete proofs of the BPS inequalities in (the bosonic sectors of) 4D and 5D minimal, gauged supergravity, including wi…

Stability of laminar monotone shear flows in a channel for high Reynolds number
Yaniv Almog, Bernard Helffer
https://arxiv.org/abs/2507.19106 https://arxiv…

Stability of laminar monotone shear flows in a channel for high Reynolds number
We consider the stability of a laminar flow $U\in C^4([-1,1])$ in the two-dimensional channel $\mathbb{R} \times[-1,1]$ in the large Reynolds number limit. Assuming that $U$ is strictly monotone but allowing $U^{\prime\prime}$ to vanish, we obtain that if the operator $$ {\mathcal K}_ν=-\frac{d^2}{dx^2}+\frac{U^{\prime\prime}}{U-ν} \,, $$ is strictly positive for all $ν\in\mathbb{R}$ for which $U^{\prime\prime}(U^{-1}(ν))=0$,then $U$ is stable for sufficiently large Reynolds number. Thi…

Analysis: Why JD Vance is very wrong about Russian 'concessions' in Ukraine peace talks: https://benborges.xyz/2025/08/25/analysis-why-jd-vance-is.html

Homology of Rook-Brauer Algebras and Motzkin Algebras
Khoa Ta
https://arxiv.org/abs/2505.21977 https://arxiv.org/pdf/2505.21977

Homology of Rook-Brauer Algebras and Motzkin Algebras
Using the technique of inductive resolution introduced in arXiv:2303.07979, we prove that the homology of Rook-Brauer Algebra, interpreted as appropriate Tor-group, is isomorphic to that of symmetric group for all degrees under the assumption that $ε$ in $R$ is invertible; furthermore, we also prove the homology of the Motzkin algebras vanishes in positive degrees under the same assumption. These results thereby establish homological stability of both algebras.

On Mixing Flows on Finite Area Translation Surfaces
Erick Gordillo
https://arxiv.org/abs/2508.19139 https://arxiv.org/pdf/2508.19139

On Mixing Flows on Finite Area Translation Surfaces
We construct an explicit family of finite-area, infinite-genus translation surfaces whose vertical translation flow is strongly mixing. This provides a positive answer to a question posed by Lindsey and Treviño~\cite{LT}

MicroDetect-Net (MDN): Leveraging Deep Learning to Detect Microplastics in Clam Blood, a Step Towards Human Blood Analysis
Riju Marwah, Riya Arora, Navneet Yadav, Himank Arora
https://arxiv.org/abs/2508.19021

MicroDetect-Net (MDN): Leveraging Deep Learning to Detect Microplastics in Clam Blood, a Step Towards Human Blood Analysis
With the prevalence of plastics exceeding 368 million tons yearly, microplastic pollution has grown to an extent where air, water, soil, and living organisms have all tested positive for microplastic presence. These particles, which are smaller than 5 millimeters in size, are no less harmful to humans than to the environment. Toxicity research on microplastics has shown that exposure may cause liver infection, intestinal injuries, and gut flora imbalance, leading to numerous potential health ha…

On zero-sum subsequences in a finite abelian group of length not exceeding a given number
Kevin Zhao
https://arxiv.org/abs/2506.21383 https://

On zero-sum subsequences in a finite abelian group of length not exceeding a given number
Let $G$ be an additive finite abelian group and let $k\in [\exp(G),\mathsf{D}(G)-1]$ be a positive integer. Denote by $\mathsf{s}_{\leq k}(G)$ the smallest positive integer $l\in \mathbb{N}\cup \{+\infty\}$ such that each sequence of length $l$ over $G$ has a non-empty zero-sum subsequence of length at most $k$. Let $k_G\in [\exp(G),\mathsf{D}(G)-1]$ be the smallest positive integer such that $\mathsf{s}_{\leq \mathsf{D}(G)-d}(G)\leq \mathsf{D}(G)+d$ for $\mathsf{D}(G)-d\geq k_G$. We conjecture…

On the interplay between plasma triangularity and micro-tearing turbulence
Alessandro Balestri, Justin Ball, Stefano Coda
https://arxiv.org/abs/2507.20244 https://

On the interplay between plasma triangularity and micro-tearing turbulence
In this work, we study the interplay between triangularity and micro-tearing turbulence using linear and nonlinear flux tube GENE simulations. We consider scenarios with negative and positive triangularity plasma shaping taken from existing tokamaks (TCV, DIII-D, MAST-U and SMART) and EU-DEMO. The study of all these tokamaks reveals a coherent picture. Negative triangularity geometry is more susceptible to micro-tearing modes (MTM), which, when present, make transport much worse than in positiv…

Local and global well-posedness for the kinetic derivative NLS on $\mathbb{R}$
Nobu Kishimoto, Kiyeon Lee
https://arxiv.org/abs/2507.20271 https://arxiv.or…

Local and global well-posedness for the kinetic derivative NLS on $\mathbb{R}$
We investigate the local and global well-posedness of the kinetic derivative nonlinear Schrödinger equation(KDNLS) on $\mathbb{R}$, described by \[ i\partial_t u + \partial_x^2 u = iα\partial_x (|u|^2 u) + iβ\partial_x (\mathcal{H} (|u|^2) u), \] where $α, β\in \mathbb{R}$, and $\mathcal{H}$ represents the Hilbert transformation. For KDNLS, the $L^2$ norm of a solution is decreasing (resp. increasing, conserved) when $β$ is negative (resp. positive, zero). Focusing on …

On $A$-orthogonality preservation and Blanco-Koldobsky-Turn\v{s}ek theorem in semi-Hilbert spaces
Jayanta Manna, Somdatta Barik, Kallol Paul, Debmalya Sain
https://arxiv.org/abs/2507.18871

On $A$-orthogonality preservation and Blanco-Koldobsky-Turnšek theorem in semi-Hilbert spaces
We investigate the local preservation of $A$-orthogonality at a point by $A$-bounded operators within the semi-Hilbertian framework induced by a positive operator $A$ on a Hilbert space $\mathbb{H}.$ We provide complete characterizations of such preservation. Additionally, we explore properties of the $A$-norm attainment set of an $A$-bounded operator in light of $A$-orthogonality preservation. We also study analogous properties for the minimum $A$-norm attainment set of an $A$-bounded operator…

Expression for $g(k)$ Related to Waring's Problem
Owen Root
https://arxiv.org/abs/2508.17950 https://arxiv.org/pdf/2508.17950

Expression for $g(k)$ Related to Waring's Problem
Waring's Problem asks whether, for each positive integer $k$, there exists an integer $s$ such that every positive integer is a sum of at most $k$th powers. While Hilbert proved the existence of such $s$, Waring's Problem has lead to areas of related work, namely the function $g(k)$, which denotes the least such $s$. There is no known general closed form for $g(k)$, though for $g(k)$ has been evaluated for small $k$. Prior work has reduced the problem to verifying a particular condition, which …

On the Dark-Energy Enigma
Ali H. Chamseddine, J\"urg Fr\"ohlich
https://arxiv.org/abs/2506.21099 https://arxiv.org/pdf/2506…

On the Dark-Energy Enigma
We present a model that offers an explanation for the presence of (Dark Matter and) Dark Energy in the universe. A key idea is to express the volume form of the Lorentzian metric on space-time in terms of a positive function of a new scalar field multiplying a certain four-form given by the wedge product of the differential of the mimetic scalar field and a certain closed three-form. An ansatz for this three-form related to one commonly used to determine the winding number of a map from a three…

Knot exteriors with all compact surfaces of positive genus essentially embedded
Joao M. Nogueira
https://arxiv.org/abs/2508.17504 https://arxiv.org/pdf/250…

Knot exteriors with all compact surfaces of positive genus essentially embedded
It is well known that there exist knots with Seifert surfaces of arbitrarily high genus. In this paper, we show the existence of infinitely many knot exteriors where each of which has longitudinal essential surfaces of any positive genus and any number of boundary components.

Eigenvalue bounds for distance-edge colorings
Aida Abiad, Luuk Reijnders
https://arxiv.org/abs/2506.20976 https://arxiv.org/pdf/2506.…

Eigenvalue bounds for distance-edge colorings
For a fixed positive integer $t$, we consider the graph colouring problem in which edges at distance at most $t$ are given distinct colours. We obtain sharp lower bounds for the distance-$t$ chromatic index, the least number of colours necessary for such a colouring. Our bounds are of algebraic nature; they depend on the eigenvalues of the line graph and on a polynomial which can be found using integer linear programming methods. We show several graph classes that attain equality for our bounds…

On the asymptotic properties of solutions to a nonlinear transmission problem for a Bresse beam with thermal damping
Tamara Fastovska, Dirk Langemann
https://arxiv.org/abs/2507.19297

On the asymptotic properties of solutions to a nonlinear transmission problem for a Bresse beam with thermal damping
A nonlinear transmission problem for an arch beam, which consists of two parts with different material properties is considered. One of the parts is subjected to thermal damping while another one is undamped. The thermal damping affects only the shear angle and the longitudinal equation within the damped part, which can have any positive length. We prove the well-posedness of the system in the energy space and establish the existence of a compact global attractor under certain conditions impose…

Characterization of Translation Bounded Measure Dynamical Systems and Positive Measure Dynamical Systems within the Spatial Processes
Franziska Sieron
https://arxiv.org/abs/2508.17425

Characterization of Translation Bounded Measure Dynamical Systems and Positive Measure Dynamical Systems within the Spatial Processes
In this paper we consider spatial processes and measure dynamical systems over locally compact Abelian groups. We characterize when a spatial processes is equivalent to a translation bounded measure dynamical systems and we characterize when a spatial processes is equivalent to a positive measure dynamical systems. The basic idea of our approach is the identification of the elements of a spatial process with translation bounded measures respectively positive measures by applying the Gelfand the…

Coprimality of elements in regular sequences with polynomial growth
Jean-Marc Deshouillers, Sunil Naik
https://arxiv.org/abs/2506.20956 https://

Coprimality of elements in regular sequences with polynomial growth
The investigation of primes in certain arithmetic sequences is one of the fundamental problems in number theory and especially, finding blocks of distinct primes has gained a lot of attention in recent years. In this context, we prove the existence of long blocks of $k$-wise coprime elements in certain regular sequences. More precisely, we prove that for any positive integers $H \geq k \geq 2$ and for a real-valued $k$-times continuously differentiable function $f \in \mathcal{C}^k\left( [1, \i…

Alternating odd cycles and orientations of Kneser-like graphs
N\'ora Alm\'asi, G\'abor Simonyi
https://arxiv.org/abs/2508.18487 https://arxiv.o…

Alternating odd cycles and orientations of Kneser-like graphs
We call an oriented odd cycle alternating if it has exactly one vertex whose in-degree and out-degree are both positive. In this paper, we investigate whether certain graphs admit an orientation that avoids alternating odd cycles as subgraphs, or one in which all their shortest odd cycles become alternating. Our focus is on topologically $χ$-chromatic graphs, that is, graphs for which the topological method yields a sharp lower bound on the chromatic number. We present results for several grap…

The Positive Mass Theorem for Creased Initial Data
Demetre Kazaras, Marcus Khuri, Michael Lin
https://arxiv.org/abs/2508.17585 https://arxiv.org/pdf/2508.1…

The Positive Mass Theorem for Creased Initial Data
We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bartnik data condition involving spacetime rotations, and discuss applications. This generalizes several previous works on the topic, including results of Miao, Tsang, and Shi-Tam.

The $k^{\text th}$ Upper Chromatic Number of the Line
Aaron Abrams
https://arxiv.org/abs/2506.20772 https://arxiv.org/pdf/2506.20772

The $k^{\text th}$ Upper Chromatic Number of the Line
Let $S \subseteq \mathbb{R}^n$, and let $k\in\mathbb{N}$. Greenwell and Johnson define ${\hatχ }^{(k)}(S)$ to be the smallest integer $m$ (if such an integer exists) such that for every $k\times m$ array $D=(d_{ij})$ of positive real numbers, $S$ can be colored with the colors $C_1,\ldots,C_m$ such that no two points of $S$ which are a (Euclidean) distance $d_{ij}$ apart are both colored $C_j$, for all $1\leq i \leq k$ and $1\leq j \leq m$. If no such integer exists then we say that ${\hatχ }…

Values at non-positive integers of partially twisted multiple zeta-functions II
Driss Essouabri, Kohji Matsumoto, Simon Rutard
https://arxiv.org/abs/2506.20150

Values at non-positive integers of partially twisted multiple zeta-functions II
We study the values at non-positive integer points of multi-variable twisted multiple zeta-functions, whose each factor of the denominator is given by polynomials. The fully twisted case was already answered by de Crisenoy. On the partially twisted case, in one of our former article we studied the case when each factor of the denominator is given by linear forms or power-sum forms. In the present paper we treat the case of general polynomial denominators, and obtain explicit forms of the values…

On the space of metrics with non-positive curvature
Yasha Savelyev
https://arxiv.org/abs/2506.19983 https://arxiv.org/pdf/2506.19983

On the space of metrics with non-positive curvature
Let $\mathcal{M} (X)$ denote the space of complete Riemannian metrics with non-positive sectional curvature and with negatively curved ends, on a manifold $X$. We show that $\mathcal{M} (\mathbb{R} \times S ^{1}) $ and $\mathcal{M} (\mathbb{R} ^{} \times Y)$ are path disconnected, where $Y$ is compact and admits a negative curvature metric. The proof is very concise, using as the main ingredient Fuller index theory. Furthermore, we get a new metric deformation invariant based on geodesic string…

Ehrhart non-positivity and unimodular triangulations for classes of s-lecture hall simplices
Jhon B. Caicedo, Martina Juhnke, Germain Poullot
https://arxiv.org/abs/2508.18890 ht…

Ehrhart non-positivity and unimodular triangulations for classes of s-lecture hall simplices
Counting lattice points and triangulating polytopes is a prominent subject in discrete geometry, yet proving Ehrhart positivity or existence of unimodular triangulations remain of utmost difficulty in general, even for ``easy'' simplices. We study these questions for classes of s-lecture hall simplices. Inspired by a question of Olsen, we present a new natural class of sequences s for which the s-lecture hall simplices are not Ehrhart positive, by explicitly estimating a negative coefficient. M…

Diophantine approximation with sums of two squares II
Stephan Baier, Habibur Rahaman
https://arxiv.org/abs/2508.18044 https://arxiv.org/pdf/2508.18044

Diophantine approximation with sums of two squares II
Recently, we showed that for every irrational number $α$, there exist infinitely many positive integers $n$ represented by any given positive definite binary quadratic form $Q$, satisfying $||αn||0$. We also provided a quantitative version with a lower bound when the exponent $1/2-\varepsilon$ is replaced by weaker exponent $γ<3/7-\varepsilon$. In this article we recover this quantitative version wi…

A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Sergio Almaraz, Shaodong Wang
https://arxiv.org/abs/2506.20453

A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners.

Linear independence measures for Chowla--Selberg periods
Wadim Zudilin
https://arxiv.org/abs/2508.17738 https://arxiv.org/pdf/2508.17738

Linear independence measures for Chowla--Selberg periods
We use simultaneous Padé approximations to $_3F_2$ hypergeometric functions to estimate from below linear forms in $1$, $π\sqrt{d}$, $Ω_D/π$ and $π/Ω_D$ with integral coefficients, where $d$ is a positive integer and $Ω_D$ is (the square of) a Chowla--Selberg period attached to the imaginary quadratic field $Q(\sqrt{D})$.

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
Elahe Khalili Samani, Lawrence Mouill\'e
https://arxiv.org/abs/2507.17920 https://

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
We explore existence of invariant metrics with positive intermediate Ricci curvature on closed, low-dimensional cohomogeneity one manifolds. For a certain cohomogeneity one $\mathsf{Spin}(4)$-action on $S^3 \times \mathbb{C}\mathrm{P}^2$, we construct an invariant metric with positive $4$-intermediate Ricci curvature and show it cannot admit one with positive $3$-intermediate Ricci curvature. We establish similar obstructions for several other cohomogeneity one manifolds.

Transcendency of variants of Mills' constant
Kota Saito
https://arxiv.org/abs/2508.16068 https://arxiv.org/pdf/2508.16068

Transcendency of variants of Mills' constant
Let $\lfloor x\rfloor$ denote the integer part of $x$. For every sequence $(C_k)_{k\ge 1}$ of positive integers, we define $ξ(C_k)$ as the smallest real number $ξ$ such that $\lfloor ξ^{C_k} \rfloor$ is a prime number for every positive integer $k$. The number $ξ(3^k)$ is called Mills' constant. Recently, the author showed that $ξ(3^k)$ is irrational, but the transcendency of this number is still open. In this paper, we give sufficient conditions on $(C_k)_{k\ge 1}$ to determine the transc…