Tootfinder

Must-read article by Ian Bond on Europe, Ukraine, Russia, Trump, Putin etc. Just a quote
"The real fantasy is to believe that Trump’s erratic peace overtures to Russia can end the war on minimally acceptable terms, or that Putin will stop fighting unless forced to do so."
https://www.

Can Europe save Ukraine – and itself – from Putin and Trump?
Trump is not on Ukraine’s side, or Europe’s, but he cannot deliver peace on Putin’s terms. Rather than taking their lead from Trump, European leaders should act urgently to stop Russia’s advances and guarantee Ukraine’s security.

Sometimes people say that Chinese watch companies are not serious.
I just thought I would check the terms and conditions I am agreeing to before purchase. Well, at least they are not Lorem ipsum, right? 🤣

BEFT: Bias-Efficient Fine-Tuning of Language Models
Baichuan Huang, Ananth Balashankar, Amir Aminifar
https://arxiv.org/abs/2509.15974 https://arxiv.org/pd…

BEFT: Bias-Efficient Fine-Tuning of Language Models
Fine-tuning all-bias-terms stands out among various parameter-efficient fine-tuning (PEFT) techniques, owing to its out-of-the-box usability and competitive performance, especially in low-data regimes. Bias-only fine-tuning has the potential for unprecedented parameter efficiency. However, the link between fine-tuning different bias terms (i.e., bias terms in the query, key, or value projections) and downstream performance remains unclear. The existing approaches, e.g., based on the magnitude o…

Solvability of fractional semilinear heat equations with distributional forcing terms in Lorentz spaces
Yusuke Oka
https://arxiv.org/abs/2509.16809 https://

Solvability of fractional semilinear heat equations with distributional forcing terms in Lorentz spaces
We study the Cauchy problem for the fractional semilinear heat equation with distributional forcing terms. By using Besov-type spaces based on Lorentz spaces, we give necessary conditions and sufficient conditions on forcing terms for the local-in-time existence of solutions belonging to Lorentz spaces.

Commanders, safety Darnell Savage agree to terms: Sources https://www.nytimes.com/athletic/6652358/2025/09/22/darnell-savage-commanders-safety/

Arbitrary number of thermally induced phase transitions in different universality classes in $XY$ models with higher-order terms
Milan \v{Z}ukovi\v{c}
https://arxiv.org/abs/2509.17742

Arbitrary number of thermally induced phase transitions in different universality classes in $XY$ models with higher-order terms
We propose generalized variants of the $XY$ model capable of exhibiting an arbitrary number of phase transitions only by varying temperature. They are constructed by supplementing the magnetic coupling with $n_t-1$ nematic terms of exponentially increasing order with the base $q=2,3,4$ and $5$, and increasing interaction strength. It is found that for $q=2,3$ and $4$ with sufficiently large coupling strength of the final term, the models exhibit a number of phase transitions equal to the number…

A look at India's $18.2B chipmaking push, with 10 projects across six states to cut import reliance, as experts question if talent and investment are enough (Priyanka Salve/CNBC)
https://www.cnbc.com/2025/09/23/india-is-bett…

India is betting $18 billion to build a chip powerhouse. Here’s what it means
India dreams of being self-sufficient in terms of semiconductors has seen it invest heavily to attract global chip companies. But success has been uneven.

Prepared a "new" mini pc for my parents. "New" in terms of, I bought a Refurbed one.
When they like it, I'll - again - disassemble the old one and put the parts on ebay... I guess. Hopefully no electronic waste will be remaining.

Cito is trying to come to terms with it being Tuesday

Hypergeometric decomposition of Delsarte K3 pencils
Rachel Davis, Jessamyn Dukes, Eli Orvis, Thais Ribeiro, Adriana Salerno, Leah Sturman, Ursula Whitcher
https://arxiv.org/abs/2508.15049

Hypergeometric decomposition of Delsarte K3 pencils
We study five pencils of projective quartic Delsarte K3 surfaces. Over finite fields, we give explicit formulas for the point counts of each family, written in terms of hypergeometric sums. Over the complex numbers, we match the periods of the corresponding family with hypergeometric differential operators and series. We also obtain a decomposition of the $L$-function of each pencil in terms of hypergeometric $L$-series and Dedekind zeta functions. This gives an explicit description of the hype…

oh wow Youtube zieht die Daumenschrauben an:
Ad blockers violate YouTube's Terms of Service
It looks like you may be using an ad blocker. Video playback is blocked unless YouTube is allowlisted or the ad blocker is disabled.
Ads allow YouTube to be used by billions worldwide.
You can go ad-free with YouTube Premium and creators can still get paid from your subscription.

The Spin Out
Join The Laundry Lady CEO Susan Toft as she chats with inspiring entrepreneurs, busy parents, and game-changers who’ve created freedom on their own terms...
Great Australian Pods Podcast Directory: https://www.greataustralianpods.com/the-spin-out/
…

Quasihomogeneous isolated singularities in terms of syzygies and foliations
Hamid Hassanzadeh, Abbas Nasrollah Nejad, Aron Simis
https://arxiv.org/abs/2509.16933 https://…

Quasihomogeneous isolated singularities in terms of syzygies and foliations
One considers quasihomogeneous isolated singularities of hypersurfaces in arbitrary dimensions through the lenses of three apparently quite apart themes: syzygies, singularity invariants, and foliations. In the first of these, one adds to the well-known result of Saito's a syzygy-theoretic characterization of a quasihomogeneous singularity affording an effective computational criterion. In the second theme, one explores the Milnor-Tjurina difference number from a commutative algebra viewpoint. …

On the quantum $\mathfrak{sl}_3$ invariant of positive links
Matthew Harper, Efstratia Kalfagianni
https://arxiv.org/abs/2508.15153 https://arxiv.org/pdf/2…

On the quantum $\mathfrak{sl}_3$ invariant of positive links
We use the skein theory of $\mathfrak{sl}_3$-webs to study the properties of the quantum $\mathfrak{sl}_3$-link polynomial of positive links. We give explicit formulae for the three leading terms of the polynomial on positive links in terms of diagrammatic quantities of their positive diagrams. We show that a positive link is fibered if and only the second coefficient of the polynomial is equal to one. We also show that the third coefficient provides obstructions to representing links by positi…

There is a giant mountain in the US carved with the faces of a couple of slavers, and two guys who tried to stop slavery. Now most Americans will stop right there and say, "wait, two? Lincoln did that though..." They'll say that because Americans don't know anything about their own history, including the fact that the practice of slavery remained central to the southern economy well through Roosevelt's administration. If this is not familiar to you (because, maybe, you were taught history in the US) and you'd like to actually learn about that, you might want to read "Slavery by Another Name."
But let's talk about half-slaver mountain for a minute. This mountain is functionally a sacred site for Americans, but it's literally a sacred site for Black Hills Sioux. Speaking of stolen land, did you know that JBLM (a military base in Washington state) is built on land promised the Puyallup in the Treaty of Medicine Creek before being stolen in 1918? I remember being taught that all the land was stolen a long time ago and now there's nothing we can do. Yeah, does anyone remember that DAPL was under Obama? In fact, unused federal lands are supposed to be returned to the tribes from which the land was taken but there's a whole site to auction off federal property... That's a whole section of the government dedicated to violating the Treaty of Fort Laramie.
They could just comply with the treaty, as they are legally obligated to do. These violations are ongoing. Slavery, again, is still legal. Slaves are still used by major corporations today, they just have to be tricked into confessing to a crime first. The sins that this country is built on remain fully active today... Because the system was built to preserve white supremacists patriarchy. How could the founding of the US not lead *directly* to Trump? How could this have been different, from the beginning?
But, please, tell me, how, exactly, are you going to fix that by voting harder in the mid terms. How?

Trump claims he and Xi Jinping approved a deal for TikTok's US operations; Chinese media's readout only says that China respects the wishes of businesses (Ben Berkowitz/Axios)
https://www.axios.com/2025/09/19/tiktok-trump-xi-deal-sale-terms

Trump suggests China approves TikTok deal, though app's fate still unclear
U.S. officials said earlier this week they had a framework deal with China on a sale.

Preconditioned Deformation Grids
Julian Kaltheuner, Alexander Oebel, Hannah Droege, Patrick Stotko, Reinhard Klein
https://arxiv.org/abs/2509.18097 https://

Preconditioned Deformation Grids
Dynamic surface reconstruction of objects from point cloud sequences is a challenging field in computer graphics. Existing approaches either require multiple regularization terms or extensive training data which, however, lead to compromises in reconstruction accuracy as well as over-smoothing or poor generalization to unseen objects and motions. To address these lim- itations, we introduce Preconditioned Deformation Grids, a novel technique for estimating coherent deformation fields directly f…

Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moir\'e flatbands
Ipsita Mandal
https://arxiv.org/abs/2509.15996 https://arxiv.o…

Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands
Spin- and valley-polarized fractionally-filled moiré flatbands are known to host emergent Fermi-liquid phases, when analyzed with the help of a dual description in terms of holes. The dominant Coulomb interactions in an almost flatband endow the fermions with a nontrivial dispersion, when the system is described in terms of the hole operators (rather than the particle operators). In particular, for one-fourth filling, the Fermi surface takes a quasi-triangular shape, which brings about the pos…

Mick Shots: Defining terms

DINVMark: A Deep Invertible Network for Video Watermarking
Jianbin Ji, Dawen Xu, Li Dong, Lin Yang, Songhan He
https://arxiv.org/abs/2509.17416 https://arx…

DINVMark: A Deep Invertible Network for Video Watermarking
With the wide spread of video, video watermarking has become increasingly crucial for copyright protection and content authentication. However, video watermarking still faces numerous challenges. For example, existing methods typically have shortcomings in terms of watermarking capacity and robustness, and there is a lack of specialized noise layer for High Efficiency Video Coding(HEVC) compression. To address these issues, this paper introduces a Deep Invertible Network for Video watermarking …

No Need for Real 3D: Fusing 2D Vision with Pseudo 3D Representations for Robotic Manipulation Learning
Run Yu, Yangdi Liu, Wen-Da Wei, Chen Li
https://arxiv.org/abs/2509.16532 h…

No Need for Real 3D: Fusing 2D Vision with Pseudo 3D Representations for Robotic Manipulation Learning
Recently,vision-based robotic manipulation has garnered significant attention and witnessed substantial advancements. 2D image-based and 3D point cloud-based policy learning represent two predominant paradigms in the field, with recent studies showing that the latter consistently outperforms the former in terms of both policy performance and generalization, thereby underscoring the value and significance of 3D information. However, 3D point cloud-based approaches face the significant challenge …

Effects of time dependence in the second order coherence of pulsed light
Joscelyn van der Veen, Daniel James
https://arxiv.org/abs/2509.16090 https://arxiv…

Effects of time dependence in the second order coherence of pulsed light
For light in a single temporal mode, the time dependence is associated entirely with the deterministic pulse shape rather than the quantum state. This means the second order coherence of light can no longer be understood as the temporal distribution of photons. We calculate the distribution of photon arrival time differences for pulsed light and find that it is inherently strongly bunched in terms of photocount arrival time differences. We further show how to account for the pulse shape when de…

Jonah Laulu’s Emergence as a DFS Sleeper on the Raiders Defensive Line https://raiderramble.com/2025/09/21/jonah-laulus-emergence-as-a-dfs-sleeper-on-the-raiders-defensive-line/

Hermitian $K$-theory and Milnor-Witt motivic cohomology over $\mathbb Z$
H{\aa}kon Kolderup, Oliver R\"ondigs, Paul Arne {\O}stv{\ae}r
https://arxiv.org/abs/2509.16404 http…

Hermitian $K$-theory and Milnor-Witt motivic cohomology over $\mathbb Z$
The theme of this paper is to compute hermitian $K$-groups in terms of the recently developed theory of Milnor-Witt motivic cohomology. Our approach makes use of the very effective slice spectral sequence within the motivic stable homotopy category, which we analyze in detail for base schemes of arithmetic interest. We show a Grothendieck-Riemann-Roch theorem, determine the map between Milnor-Witt and hermitian $K$-theory up to degree five for all fields, and compute the hermitian $K$-groups an…

WhatsApp updates its Business API terms to ban general-purpose chatbots starting January 15, 2026, affecting WhatsApp assistants of OpenAI, Perplexity, others (Ivan Mehta/TechCrunch)
https://techcrunch.com/2025/10/18/whatssapp-…

WhatssApp changes its terms to bar general purpose chatbots from its platform | TechCrunch
WhatsApp is banning general purpose chatbots from using its Business API

Closed Walks Of Low Dimension And Twisted Moments On Self-Loop Graphs
Johnny Lim
https://arxiv.org/abs/2509.17035 https://arxiv.org/pdf/2509.17035

Closed Walks Of Low Dimension And Twisted Moments On Self-Loop Graphs
Let $G_S$ be a graph with loops attached at each vertex in $S \subseteq V(G).$ In this article, we develop exact formulae for the number of closed $3$- and $4$-walks on $G_S$ in terms of vertex degrees and certain elementary subgraphs of $G_S.$ We then derive the specific closed walks formulae for several graph families such as complete bipartite self-loop graphs, complete graphs, cycle graphs, etc. We demonstrate that such invariants are non-trivial in $G_S,$ which otherwise may be trivial in …

Towards a Nicolai map for supergravity
Federico Arrighi, Saurish Khandelwal, Olaf Lechtenfeld
https://arxiv.org/abs/2509.17973 https://arxiv.org/pdf/2509.1…

Towards a Nicolai map for supergravity
We investigate the possibility of a Nicolai map for minimal supergravity in four dimensions. Such a map would allow for the computation of quantum supergravity correlation functions in terms of flat-space correlators in an effective nonlocal bosonic theory with the help of a nonlinear field transformation, the inverse Nicolai map. Such a map is guaranteed for off-shell global supersymmetry, but local supersymmetry presents at least three obstacles for the construction. Their effects are analyze…

Largeness and generalized t-henselianity
Will Johnson
https://arxiv.org/abs/2508.15362 https://arxiv.org/pdf/2508.15362

Largeness and generalized t-henselianity
Let $K$ be a countable field. Then $K$ is large in the sense of Pop if and only if it admits a field topology which is "generalized t-henselian" (gt-henselian) in the sense of Dittmann, Walsberg, and Ye, meaning that the implicit function theorem holds for polynomials. Moreover, the étale open topology can be characterized in terms of the gt-henselian topologies on $K$: a subset $U \subseteq K^n$ is open in the étale open topology if and only if it is open with respect to every gt-henselian t…

Eigenstate thermalization hypothesis versus Bohigas-Giannoni-Schmit conjecture: a comparison
Hans A. Weidenm\"uller
https://arxiv.org/abs/2509.17634 https://

Eigenstate thermalization hypothesis versus Bohigas-Giannoni-Schmit conjecture: a comparison
Thermalization of a closed chaotic quantum system is commonly addressed in terms of the eigenstate ther- malization hypothesis (ETH). An alternative approach uses the Bohigas-Giannoni-Schmit (BGS) conjecture. The comparison shows that the two approaches differ significantly. In contrast to ETH, BGS fully uses the statistical properies of the chaotic Hamiltonian. In both approaches, the criterion for thermalization is similar. BGS goes beyond ETH in predicting quantitatively the time dependence …

Just off to @… for the evening to learn lace making
I once was involved in a performance collab with a lace maker, although she was too busy so couldn't join us and sent a video. We jammed over her explaining the numerical patterns. I remember the performers on stage were all men so it looked a bit dodgy in terms of gender p…

Crypto folks (maybe @… ): what's the latest estimates on difficulty of real world factorization attacks on a single 1024 bit RSA modulus?
Like, i know it's "plausible enough for a state level attacker to break that you shouldn't be using 1024 bit keys" but nobody's ever demonstrated an actual factorization yet.
So in terms of co…

"For starters, like shark attacks, the number of events attributed to left-wing terrorism this year is so low in absolute terms that it simply does not justify inducing panic with eye-popping headlines."
Correctly Assessing U.S. Left-Wing Terrorism and Political Violence
https://www.justsecurity.org/122278/correctly-assessing-left-wing-terrorism-and-political-violence-in-the-united-states/

Convolutional Neural Network Optimization for Beehive Classification Using Bioacoustic Signals
Harshit, Rahul Jana, Ritesh Kumar
https://arxiv.org/abs/2509.17800 https://…

Convolutional Neural Network Optimization for Beehive Classification Using Bioacoustic Signals
The behavior of honeybees is an important ecological phenomenon not only in terms of honey and beeswax production but also due to the proliferation of flora and fauna around it. The best way to study this significant phenomenon is by non-invasive monitoring of beehives using the sounds produced by various body movements that give out audio signals which can be exploited for various predictions related to the objectives mentioned above. This study investigates the application of Convolutional Ne…

New rephasing invariants and CP violation built from the trios of the CKM or PMNS matrix elements
Shu Luo, Zhi-zhong Xing
https://arxiv.org/abs/2508.15662 https://

New rephasing invariants and CP violation built from the trios of the CKM or PMNS matrix elements
Given the $3\times 3$ Cabibbo-Kobayashi-Maskawa (CKM) quark flavor mixing matrix $V$, we define a new set of rephasing invariants in terms of the "trios" of its nine elements: $\lozenge^{ijk}_{αβγ} \equiv (V^{}_{αi} V^{}_{βj} V^{}_{γk})/\det V$ with $α\neq β\neq γ$ and $i \neq j \neq k$ running respectively over $(u, c, t)$ and $(d, s, b)$. We find that ${\rm Im} \lozenge^{ijk}_{αβγ} = - {\cal J}$ holds, where ${\cal J}$ is the well-known Jarlskog invariant of weak CP violation. Ana…

Husain-Kucha\v{r} model as the Carrollian limit of the Holst term
J. Fernando Barbero G., Juan Margalef-Bentabol, Aitor Vicente-Cano, Eduardo J. S. Villase\~nor
https://arxiv.org/abs/2508.15373

Husain-Kuchař model as the Carrollian limit of the Holst term
We show how the Husain-Kuchař model can be understood as a Carrollian limit of the Holst term in the context of background-independent field theories described in terms of coframes and spin connections. We also discuss the footprint of the Carrollian symmetry in the Hamiltonian formulation of the Husain-Kuchař action.

Stable Invariants of Words from Random Matrices II: Formulas and Extensions
Doron Puder, Yotam Shomroni
https://arxiv.org/abs/2509.17271 https://arxiv.org/…

Stable Invariants of Words from Random Matrices II: Formulas and Extensions
Let $w$ be a word in a free group. As was revealed by Magee and Puder in [arXiv:1802.04862], the stable commutator length (scl) of $w$, a well-known topological invariant, can also be defined in terms of certain stable Fourier coefficients of $w$-random unitary matrices. In the first part of the current work [arXiv:2311.17733], we demonstrated how this phenomenon is much broader: we proved more instances of such results and conjectured others. These new results and conjectures involved other to…

Data-Driven Two-Stage IRS-Aided Sumrate Maximization with Inexact Precoding
Hassaan Hashmi, Spyridon Pougkakiotis, Dionysis Kalogerias
https://arxiv.org/abs/2509.16776 https://

Data-Driven Two-Stage IRS-Aided Sumrate Maximization with Inexact Precoding
We propose iZoSGA, a data-driven learning algorithm for joint passive long-term intelligent reflective surface (IRS)-aided beamforming and active short-term precoding in wireless networks. iZoSGA is based on a zeroth-order stochastic quasigradient ascent methodology designed for tackling two-stage nonconvex stochastic programs with continuous uncertainty and objective functions with "black-box" terms, and where second-stage optimization is inexact. As such, iZoSGA utilizes inexact precoding ora…

Robustness of Solutions of the Quantum Kinetic Equations in the Presence of Matter Density Fluctuations
Shashank Shalgar, Mariam Gogilashvili
https://arxiv.org/abs/2508.15747 ht…

Robustness of Solutions of the Quantum Kinetic Equations in the Presence of Matter Density Fluctuations
We investigate the role of fluctuations in the matter density on neutrino flavor evolution by studying their effects on the collision terms in the spherically symmetric quantum kinetics equations (QKEs). We solve the QKEs with varying radial resolution ($r_{\mathrm{bins}} = 150 \, , 1500 \, , 15000$) to assess numerical convergence in angular distributions, number densities, and energy spectra for four neutrino flavors ($ν_e$, $\barν_e$, $ν_x$, $\barν_x$). Our results demonstrate that the s…

Geometry on curves which go around a Whitney umbrella
Masayuki Hara
https://arxiv.org/abs/2508.15293 https://arxiv.org/pdf/2508.15293

Geometry on curves which go around a Whitney umbrella
We consider curves which go around Whitney umbrella. Then we consider the geodesic and the normal curvatures, ruled surfaces generated by the normal vector and normal developable surfaces with respect to the tangent and bi-tangent vectors of the curve. Then we obtain several functions which represents geometry on Whitney umbrella. Looking at the top terms of them with respect to the radius, we study geometry on Whitney umbrella.

Multiscale solution decomposition of nonlocal-in-time problems with application in numerical computation
Mengmeng Liu, Jie Ma, Wenlin Qiu, Xiangcheng Zheng
https://arxiv.org/abs/2509.17020

Multiscale solution decomposition of nonlocal-in-time problems with application in numerical computation
This work develops a multiscale solution decomposition (MSD) method for nonlocal-in-time problems to separate a series of known terms with multiscale singularity from the original singular solution such that the remaining unknown part becomes smoother. We demonstrate that the MSD provides a scenario where the smoothness assumption for solutions of weakly singular nonlocal-in-time problems, a commonly encountered assumption in numerous literature of numerical methods that is in general not true …

Transport barriers for microswimmers in unsteady flow
L. Storm, J. Qiu, K. Gustavsson, B. Mehlig
https://arxiv.org/abs/2509.16430 https://arxiv.org/pdf/250…

Transport barriers for microswimmers in unsteady flow
Certain flow structures trap active microorganisms over extended periods, impacting mortality and growth by inhibiting foraging, exploration, and predator evasion. We show that transport barriers and trapping of a microswimmer in unsteady vortex flow can be understood in terms of Lagrangian coherent structures (LCS) in phase space, taking into account both flow and swimming dynamics. These phase-space LCS constrain when and how artificial microswimmers can be trained by reinforcement learning t…

Circular-arc H-graphs: Ordering Characterizations and Forbidden Patterns
Indrajit Paul, Ashok Kumar Das
https://arxiv.org/abs/2509.18021 https://arxiv.org/…

Circular-arc H-graphs: Ordering Characterizations and Forbidden Patterns
We introduce the class of circular-arc H-graphs, which generalizes circular-arc graphs, particularly circular-arc bigraphs. We investigate two types of ordering-based characterizations of circular-arc r-graphs. Finally, we provide forbidden patterns for circular-arc r-graphs in terms of specific vertex orderings.

Growing unlabeled networks
Harrison Hartle, Brennan Klein, Dmitri Krioukov, P. L. Krapivsky
https://arxiv.org/abs/2509.17200 https://arxiv.org/pdf/2509.172…

Growing unlabeled networks
Models of growing networks are a central topic in network science. In these models, vertices are usually labeled by their arrival time, distinguishing even those node pairs whose structural roles are identical. In contrast, unlabeled networks encode only structure, so unlabeled growth rules must be defined in terms of structurally distinguishable outcomes; network symmetries therefore play a key role in unlabeled growth dynamics. Here, we introduce and study models of growing unlabeled trees, d…

Mixtures, Markov bridges and the matrix product ansatz
Davide Gabrielli, Federica Iacovissi
https://arxiv.org/abs/2509.16455 https://arxiv.org/pdf/2509.164…

Mixtures, Markov bridges and the matrix product ansatz
We give a probabilistic characterization of the set of measures that can be represented by the matrix product ansatz. By suitably enlarging the state space, we show that a probability measure can be described in terms of non negative matrices by the {\it Matrix Product Ansatz}, if and only if it can be written as a mixture of inhomogeneous product measures where the mixing law is a Markov bridge. We give a constructive procedure to identify such probabilistic features. We illustrate the result …

On hollowness in multiplicative lattices
Amartya Goswami, Joseph Zelezniak
https://arxiv.org/abs/2508.15718 https://arxiv.org/pdf/2508.15718

On hollowness in multiplicative lattices
The aim of this article is to extend the notions of strongly hollow and completely strongly hollow ideals of commutative rings to multiplicative lattices. We investigate their basic structural properties and prove several characterizations in terms of localizations at maximal elements and the behaviour of residuals. In particular, we study properties of strongly hollow elements in various types of $C$-lattices: Gelfand, semi-simple, and Prüfer. We also provide characterizations of quasi-local …

Packing stability and the subleading asymptotics of symplectic Weyl laws
Oliver Edtmair
https://arxiv.org/abs/2509.15390 https://arxiv.org/pdf/2509.15390…

Packing stability and the subleading asymptotics of symplectic Weyl laws
We prove that symplectic ball packing stability holds for every compact, connected symplectic $4$-manifold with smooth boundary. This follows from a stronger result: the full volume of any such manifold can be filled by a single symplectic ellipsoid. As an application, we obtain estimates - with sharp exponents - for the error terms in the symplectic Weyl laws for embedded contact homology capacities, periodic Floer homology spectral invariants, and link spectral invariants. We also construct a…

The hot-electron closure of the moment-based gyrokinetic plasma model
A. C. D. Hoffmann, P. Giroud-Garampon, P. Ricci
https://arxiv.org/abs/2509.15329 https://

The hot-electron closure of the moment-based gyrokinetic plasma model
We derive the hot-electron limit (HEL) closure of the moment hierarchy used to solve the gyrokinetic equations, denoted as gyromoment (GM). By expanding gyroaveraging kernels in the small temperature ratio Ti/Te limit and retaining only essential O(Ti/Te) terms, we obtain a closed system for density, parallel velocity, and parallel and perpendicular temperatures. In the Z-pinch geometry, the GM system with HEL closure is analytically equivalent to the one developed by Ivanov et al. (2022). Nume…

Strategies for Cantor games and Operator systems
Georgios Baziotis, Alexandros Chatzinikolaou, Ivan G. Todorov, Lyudmila Turowska
https://arxiv.org/abs/2509.18028 https://

Strategies for Cantor games and Operator systems
We study no-signalling correlations over Cantor spaces, placing the product of infinitely many copies of a finite non-local game in a unified general setup. We define the subclasses of local, quantum spatial, approximately quantum and quantum commuting Cantor correlations and describe them in terms of states on tensor products of inductive limits of operator systems. We provide a correspondence between no-signalling (resp. approximately quantum, quantum commuting) Cantor correlations and sequen…

Asymptotic results for the distributional fractional Stockwell and fractional wavelet transforms
Snje\v{z}ana Maksimovi\'c
https://arxiv.org/abs/2509.17909 https://

Asymptotic results for the distributional fractional Stockwell and fractional wavelet transforms
We provide some Abelian and Tauberian results characterizing the quasiasymptotic behavior of Lizorkin distributions in terms of their Stockwell transform. We prove the continuity of the fractional wavelet transform and the corresponding synthesis operator on the Schwartz spaces and their duals, respectively. Additionally, we establish a connection between fractional Stockwell and fractional wavelet transforms and provide some asymptotic results for the distributional fractional wavelet transfor…

From Linearity to Non-Linearity: How Masked Autoencoders Capture Spatial Correlations
Anthony Bisulco, Rahul Ramesh, Randall Balestriero, Pratik Chaudhari
https://arxiv.org/abs/2508.15404

From Linearity to Non-Linearity: How Masked Autoencoders Capture Spatial Correlations
Masked Autoencoders (MAEs) have emerged as a powerful pretraining technique for vision foundation models. Despite their effectiveness, they require extensive hyperparameter tuning (masking ratio, patch size, encoder/decoder layers) when applied to novel datasets. While prior theoretical works have analyzed MAEs in terms of their attention patterns and hierarchical latent variable models, the connection between MAE hyperparameters and performance on downstream tasks is relatively unexplored. Thi…

Trump claims he and Xi Jinping approved a deal for TikTok's US operations; Chinese media's readout only says that China respects the wishes of businesses (Ben Berkowitz/Axios)
https://www.axios.com/2025/09/19/tiktok-trump-xi-deal-sale-terms

Trump suggests China approves TikTok deal, though app's fate still unclear
U.S. officials said earlier this week they had a framework deal with China on a sale.

Mick Shots: Defining terms

Make Every Letter Count: Building Dialect Variation Dictionaries from Monolingual Corpora
Robert Litschko, Verena Blaschke, Diana Burkhardt, Barbara Plank, Diego Frassinelli
https://arxiv.org/abs/2509.17855

Make Every Letter Count: Building Dialect Variation Dictionaries from Monolingual Corpora
Dialects exhibit a substantial degree of variation due to the lack of a standard orthography. At the same time, the ability of Large Language Models (LLMs) to process dialects remains largely understudied. To address this gap, we use Bavarian as a case study and investigate the lexical dialect understanding capability of LLMs by examining how well they recognize and translate dialectal terms across different parts-of-speech. To this end, we introduce DiaLemma, a novel annotation framework for c…

On Tackling High-Dimensional Nonconvex Stochastic Optimization via Stochastic First-Order Methods with Non-smooth Proximal Terms and Variance Reduction
Yue Xie, Jiawen Bi, Hongcheng Liu
https://arxiv.org/abs/2509.13992

On Tackling High-Dimensional Nonconvex Stochastic Optimization via Stochastic First-Order Methods with Non-smooth Proximal Terms and Variance Reduction
When the nonconvex problem is complicated by stochasticity, the sample complexity of stochastic first-order methods may depend linearly on the problem dimension, which is undesirable for large-scale problems. To alleviate this linear dependence, we adopt non-Euclidean settings and propose two choices of nonsmooth proximal terms when taking the stochastic gradient steps. This approach leads to stronger convergence metric, incremental computational overhead, and potentially dimension-insensitive …

Putin will not dictate terms of Ukraine peace, Canada's Carney cautions: https://benborges.xyz/2025/09/06/putin-will-not-dictate-terms.html

Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
Kavita Dhanda, Alan Haynes, Silmi Prasala
https://arxiv.org/abs/2509.16890 https://

Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
Recent work by M. Afifurrahman established the first asymptotic estimates with error terms for the number of $2\times 2$ matrices with fixed non-zero determinant $n\in\mathbb{N}$, and with coefficients bounded in absolute value by $X$. In this paper we present a new proof of this result, which also gives an improved error term as $X\rightarrow\infty$. Similar to Afifurrahman's result, our error term is uniform in both $n$ and $X$, and our estimates are significant for $X$ as small as $n^{1/2+δ…

Asymptotics of stability thresholds
Junyao Peng
https://arxiv.org/abs/2509.16458 https://arxiv.org/pdf/2509.16458…

Asymptotics of stability thresholds
We study asymptotic behavior of the stability thresholds of a big line bundle, and prove explicit bounds on the error terms. This answers Jin--Rubinstein--Tian's questions affirmatively. A key step in our proof is to show that the stability thresholds of a big line bundle can always be computed by quasi-monomial valuations. This generalizes Blum--Jonsson's result on the stability thresholds of an ample line bundle.

Interpreting the Role of Visemes in Audio-Visual Speech Recognition
Aristeidis Papadopoulos, Naomi Harte
https://arxiv.org/abs/2509.16023 https://arxiv.org…

Interpreting the Role of Visemes in Audio-Visual Speech Recognition
Audio-Visual Speech Recognition (AVSR) models have surpassed their audio-only counterparts in terms of performance. However, the interpretability of AVSR systems, particularly the role of the visual modality, remains under-explored. In this paper, we apply several interpretability techniques to examine how visemes are encoded in AV-HuBERT a state-of-the-art AVSR model. First, we use t-distributed Stochastic Neighbour Embedding (t-SNE) to visualize learned features, revealing natural clustering …

Some nice examples in the 'use cases' section of AI for Humanists https://aiforhumanists.com/guides/usecases/ - from OCR to annotation to identifying voices and styles

Trump urged Zelenskyy to accept Putin's terms or be 'destroyed' by Russia (Financial Times)
https://www.ft.com/content/7960c6aa-dbfa-4a55-91e8-ae44601842ec
http://www.memeorandum.com/251019/p34#a251019p34

Characterization of groupoid categories in terms of its category of $\mathcal{C}$-sets
J. Miguel Calder\'on, Alberto Gerardo Raggi-C\'ardenas, Itzel Rosas, Ram\'on H. Ruiz-Medina
https://arxiv.org/abs/2508.10162

Characterization of groupoid categories in terms of its category of $\mathcal{C}$-sets
A $\mathcal{C}$-set is a functor from the category $\mathcal{C}$ to the category of finite sets and functions. The category of $\mathcal{C}$-sets, $\mathcal{C} - \operatorname*{set}$, is defined as the category whose objects are $\mathcal{C}$-sets, and whose morphisms are natural transformations between them. In this document we provide some concise characterizations of groupoids in terms of their category of $\mathcal{C}$-sets.

[Update] Quoted in RNS about No…
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First/last light, same day. Golden larches.
(From a hike on the last day of our recent roadtrip. The view in the second image is looking back at Hanauer Hütte, in front of Schneekarlespitze and (clipped) Dremelspitze)
#SilentSunday #LandscapePhotography

A Systematic Particle Filter for Estimating Time-Varying Parameters in Advection-Diffusion Equations with Source Terms
Andrea Arnold
https://arxiv.org/abs/2508.12155 https://

A Systematic Particle Filter for Estimating Time-Varying Parameters in Advection-Diffusion Equations with Source Terms
Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved parameters may vary with time. This work proposes a two-phase, offline-online numerical procedure for systematically estimating and quantifying uncertainty in time-varying parameters (TVPs) in time-dependent PDEs, specifically focusing on advection-diffusion models …

The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models
Matteo Gallone
https://arxiv.org/abs/2509.17753 https://arxiv.org/pdf/2509.17753

The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models
In these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models from the viewpoint of perturbation theory. We provide an updated state-of-the-art description of this intermediate state in terms of the underlying integrable dynamics, in particular the Korteweg-de Vries and inviscid Burgers equations.

Cowboys, Tyler Smith agree to terms on $96 million extension to become highest-paid guard in NFL https://www.nfl.com/news/cowboys-tyler-smith-agree-to-terms-on-96-million-extension

Global stability of ghostly field theories: Classical scattering in $(N 1)$ dimensions
Aaron Held
https://arxiv.org/abs/2509.18049 https://arxiv.org/pdf/25…

Global stability of ghostly field theories: Classical scattering in $(N+1)$ dimensions
We review results on small-data global stability and highlight their applicability to classical interacting scalar fields with opposite-sign kinetic terms (ghosts). Further, we present a one-parameter family of numerical scattering solutions under the simplifying assumption of spherical symmetry. We thereby identify classical ghostly field theories with polynomial interaction potentials for which small-data global stability apparently extends to large-data global stability, i.e., global stabili…

The 3-strand braid group with torsion
Ethan Dlugie, Tahsin Saffat
https://arxiv.org/abs/2509.17900 https://arxiv.org/pdf/2509.17900

The 3-strand braid group with torsion
In the 1950s, H. S. M. Coxeter considered the quotients of braid groups given by adding the relation that all half Dehn twist generators have some fixed, finite order. He found a remarkable formula for the order of these groups in terms of some related Platonic solids. Despite the inspiring apparent connection between these "truncated" braid groups and Platonic solids, Coxeter's proof boils down to a finite case check that reveals nothing about the structure present. We give a topological inter…

Momentum correlation in pair production by spacetime dependent fields from scattered wave functions
Greger Torgrimsson
https://arxiv.org/abs/2509.17770 https://

Momentum correlation in pair production by spacetime dependent fields from scattered wave functions
We consider Sauter-Schwinger pair production by electric fields that depend on both time and space, $E(t,z)$ and $E(t,x,y)$. For space-independent fields, $E(t)$, momentum conservation, $δ({\bf p}+{\bf p}')$, fixes the positron momentum, ${\bf p}'$, in terms of the electron momentum, ${\bf p}$. For $E(t,z)$, on the other hand, $p_z$ and $p'_z$ are independent. However, previous exact-numerical studies have considered only the probability as a function of a single momentum variable, $P(p_z)$, $…

The US is a slave state founded on genocide that *still* hasn't actually abolished slavery. Nazi race law came from Jim Crow, but you won't find that taught in a single classroom in the US. The Senate and Electoral College are *explicitly* anti-democratic institutions... Like, they were designed to prevent democracy. The whole punitive legal system exists to suppress dissent and legitimize slavery. The genocide of indigenous folks *has not even ended* much less has there been any attempt at reparations.
How exactly are you going to fix that by voting harder in the mid terms, and finding a more acceptable candidate for 2028? Seriously, someone explain it to me.

The nuts and bolts of gauge invariance of heat transport
Stefano Baroni
https://arxiv.org/abs/2509.17386 https://arxiv.org/pdf/2509.17386

The nuts and bolts of gauge invariance of heat transport
In this work I revisit the notion of gauge invariance in thermal transport and show, in the simplest and most general possibile terms, why heat conductivity is unaffected by the specific choice of energy density. I provide the minimal and general conditions under which any two energy densities, though differing locally, lead to the same heat conductivity within the Green-Kubo framework. The relevance of gauge invariance in heat-transport simulations performed with machine-trained neural-network…

On the classification of Jacobi curves and their conformal curvatures
A. Bautista, A. Ibort, J. Lafuente
https://arxiv.org/abs/2509.15679 https://arxiv.org…

On the classification of Jacobi curves and their conformal curvatures
This paper describes the theory of Jacobi curves, a far reaching extension of the spaces of Jacobi fields along Riemannian geodesics, developed by Agrachev and Zelenko. Jacobi curves are curves in the Lagrangian Grassmannian of a symplectic space satisfying appropriate regularity conditions. It is shown that they are fully characterised in terms of a family of conformal symplectic invariant curvatures. In addition to a new derivation of the Ricci curvature tensor of a Jacobi curve, a Cartan-lik…

Dark interactions in neutron star interiors: the interplay of baryons, dark matter, and dark energy
L. F. Araujo, G. Lugones, J. A. S. Lima
https://arxiv.org/abs/2509.16484 http…

Dark interactions in neutron star interiors: the interplay of baryons, dark matter, and dark energy
The impact of energy exchange among the relevant fluid components: baryonic matter, fermionic dark matter (DM), and dark energy (DE) on the internal structure of neutron stars is investigated. Using a representative DM mass $m_χ = 10$ GeV and a barotropic DE relation, we add source terms Qi to the Tolman-Oppenheimer-Volkoff equations and examine three cases: (i) noninteracting fluids (Model I), (ii) fully interacting baryon plus DM and DM with DE fluids with optional DM self repulsion (Model I…

SEQR: Secure and Efficient QR-based LoRA Routing
William Fleshman, Benjamin Van Durme
https://arxiv.org/abs/2509.18093 https://arxiv.org/pdf/2509.18093

SEQR: Secure and Efficient QR-based LoRA Routing
Low-Rank Adaptation (LoRA) has become a standard technique for parameter-efficient fine-tuning of large language models, enabling large libraries of LoRAs, each for a specific task or domain. Efficiently selecting the correct LoRA adapter for a given input remains a challenge, particularly in secure environments where supervised training of routers may raise privacy concerns. Motivated by previous approaches, we formalize the goal of unsupervised LoRA routing in terms of activation norm maximiz…

Maz'ya-type bounds for sharp constants in fractional Poincar\'e-Sobolev inequalities
Francesco Bozzola, Matteo Talluri
https://arxiv.org/abs/2508.15564 https://

Maz'ya-type bounds for sharp constants in fractional Poincaré-Sobolev inequalities
We prove estimates for the sharp constants in fractional Poincaré-Sobolev inequalities associated to an open set, in terms of a nonlocal capacitary extension of its inradius. This work builds upon previous results obtained in the local case by Maz'ya and Shubin and by the first author and Brasco. We rely on a new Maz'ya-Poincaré inequality and, incidentally, we also prove new fractional Poincaré-Wirtinger-type estimates. These inequalities display sharp limiting behaviours with respect to th…

Polynomial approximation from diffused data: unisolvence and stability
Ludovico Bruni Bruno, Stefano De Marchi, Giacomo Elefante
https://arxiv.org/abs/2509.15813 https://…

Polynomial approximation from diffused data: unisolvence and stability
In this work, we address the problem of polynomial interpolation of non-pointwise data. More specifically, we assume that our input information comes from measurements obtained on diffuse compact domains. Although the nodal and the diffused problems are related by the mean value theorem, such an approach does not provide any concrete insights in terms of well-posedness and stability. We hence develop a different framework in which {\it unisolvence} can be again recovered from nodal results, for…

On the de Almeida--Thouless Transition Surface in the Multi-Species SK Model with Centered Gaussian External Field
Heejune Kim
https://arxiv.org/abs/2509.18066 https://

On the de Almeida--Thouless Transition Surface in the Multi-Species SK Model with Centered Gaussian External Field
We study the phase transition of the Parisi formula for the free energy in the multi-species Sherrington--Kirkpatrick model with a centered Gaussian external field and a positive-semidefinite variance profile matrix. We show that in terms of the strength of the external field and the variance profile, the de Almeida--Thouless surface delineates the boundary between replica symmetric solutions and replica symmetry breaking solutions.

So multinational companies will choose Europe or Asia for knowledge-intensive units with many nationalities, well played by Trump 😂
https://www.nytimes.com/2025/09/19/us/poli

Trump Says U.S. Will Institute $100,000 Fee for H-1B Visas
Administration officials said the charge would help American workers. President Trump also announced the terms of a new “gold card” program.

Structure-preserving long-time simulations of turbulence in magnetized ideal fluids
Klas Modin, Michael Roop
https://arxiv.org/abs/2509.15425 https://arxiv…

Structure-preserving long-time simulations of turbulence in magnetized ideal fluids
We address three two-dimensional magnetohydrodynamics models: reduced magnetohydrodynamics (RMHD), Hazeltine's model, and the Charney-Hasegawa-Mima (CHM) equation. These models are derived to capture the basic features of magnetohydrodynamic turbulence and plasma behaviour. They all possess non-canonical Hamiltonian formulations in terms of Lie-Poisson brackets, which imply an infinite number of conservation laws along with symplecticity of the phase flow. This geometric structure in phase spac…

Equivalence of mutually unbiased bases via orbits: general theory and a $d=4$ case study
Amit Te'eni, Eliahu Cohen
https://arxiv.org/abs/2508.15412 https://

Equivalence of mutually unbiased bases via orbits: general theory and a $d=4$ case study
In quantum mechanics, mutually unbiased bases (MUBs) represent orthonormal bases that are as "far apart" as possible, and their classification reveals rich underlying geometric structure. Given a complex inner product space, we construct the space of its orthonormal bases as a discrete quotient of the complete flag manifold. We introduce a metric on this space, which corresponds to the "MUBness" distance. This allows us to describe equivalence between sets of mutually unbiased bases in terms of…

Analytic two-loop amplitudes for di-jet and $\gamma $jet production mediated by a heavy-quark loop
Federico Coro, Christoph Nega, Lorenzo Tancredi, Fabian J. Wagner
https://arxiv.org/abs/2509.15315

Analytic two-loop amplitudes for di-jet and $γ+$jet production mediated by a heavy-quark loop
In this paper, we present analytical results for the two-loop QCD corrections to the production of two partons or a photon and a parton in hadronic collisions, mediated by loops of massive quarks. These amplitudes involve Feynman integrals defined on an elliptic curve. We compute them by generalizing our recent results for the production of two photons to include additional crossings of the corresponding master integrals, which we compute in terms of the same basis of independent iterated integ…

Bosses are still mandating RTO: workers are going but on their own terms
https://www.cnbc.com/2025/10/06/bosses-are-still-mandating-rto-workers-are-going-but-on-their-own-terms.html

When is nonreciprocity relevant?
Giulia Garcia Lorenzana, David Martin, Yael Avni, Daniel S. Seara, Michel Fruchart, Giulio Biroli, Vincenzo Vitelli
https://arxiv.org/abs/2509.17972

When is nonreciprocity relevant?
Nonreciprocal interactions are widely observed in nonequilibrium systems, from biological or sociological dynamics to open quantum systems. Despite the ubiquity of nonreciprocity, its impact on phase transitions is not fully understood. In this work, we derive criteria to perturbatively assess whether nonreciprocity changes the universality class of pairs of asymmetrically coupled systems undergoing a phase transition. These simple criteria are stated in terms of the unperturbed critical expone…

Fast and accurate computation of classical Gaussian quadratures
A. Gil, J. Segura, N. M. Temme
https://arxiv.org/abs/2509.16716 https://arxiv.org/pdf/2509.…

Fast and accurate computation of classical Gaussian quadratures
Algorithms for computing classical Gaussian quadrature rules (Gauss-Jacobi, Gauss-Laguerre, and Gauss-Hermite) are presented, based on globally convergent fourth-order iterative methods and asymptotic approximations, which are applied in complementary regions of the parameter space. The combination of these approaches results in methods that surpass previous algorithms in terms of speed, accuracy, and computational range (practically unrestricted). The Gauss-Radau and Gauss-Lobatto variants are…

On small, local language models: 'In a world increasingly dominated by massive models and opaque APIs, we believe there’s still room for small, transparent, controllable systems. Models you can fine-tune, understand and run on your own terms' https://www.turing.ac.uk…

QASTAnet: A DNN-based Quality Metric for Spatial Audio
Adrien Llave, Emma Granier, Gr\'egory Pallone
https://arxiv.org/abs/2509.16715 https://arxiv.org…

QASTAnet: A DNN-based Quality Metric for Spatial Audio
In the development of spatial audio technologies, reliable and shared methods for evaluating audio quality are essential. Listening tests are currently the standard but remain costly in terms of time and resources. Several models predicting subjective scores have been proposed, but they do not generalize well to real-world signals. In this paper, we propose QASTAnet (Quality Assessment for SpaTial Audio network), a new metric based on a deep neural network, specialized on spatial audio (ambison…

The fractal Goodstein principle
David Fern\'andez-Duque, Andreas Weiermann
https://arxiv.org/abs/2508.14768 https://arxiv.org/pdf/2508.14768

The fractal Goodstein principle
The original Goodstein process is based on writing numbers in hereditary $b$-exponential normal form: that is, each number $n$ is written in some base $b\geq 2$ as $n=b^ea+r$, with $e$ and $r$ iteratively being written in hereditary $b$-exponential normal form. We define a new process which generalises the original by writing expressions in terms of a hierarchy of bases $B$, instead of a single base $b$. In particular, the `digit' $a$ may itself be written with respect to a smaller base $b'$. W…

Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms
Elijah Pelofske, Marek Rams, Andreas B\"artschi, Piotr Czarnik, Paolo Braccia, Lukasz Cincio, Stephan Eidenbenz
https://arxiv.org/abs/2509.13528

Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms
The emergent practical applicability of the Quantum Approximate Optimization Algorithm (QAOA) for approximate combinatorial optimization is a subject of considerable interest. One of the primary limitations of QAOA is the task of finding a set of good parameters. Parameter transfer is a phenomenon where QAOA angles trained on problem instances that are self-similar tend to perform well for other problem instances from that similar class. This suggests a potentially highly efficient and scalable…

[Update] CNN Short Doc on Harvard…
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Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential
Guangze Gu, Aleks Jevnikar
https://arxiv.org/abs/2509.15697 https://a…

Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential
We are concerned with a Brezis-Nirenberg type problem for a critical Choquard equation, in the sense of Hardy-Littlewood-Sobolev inequality, and with the Hardy potential in a smooth bounded domain. By exploiting variational methods we obtain existence results, which extend to different perturbation terms. Some estimates of independent interest about a nonlocal minimization problem are also derived.

Global Anomalies in Sigma Models with Majorana--Weyl Fermions
Changha Choi
https://arxiv.org/abs/2508.14895 https://arxiv.org/pdf/2508.14895

Global Anomalies in Sigma Models with Majorana--Weyl Fermions
We investigate a global sigma model anomaly in two-dimensional sigma models with Majorana--Weyl fermions coupled to a sigma model field with target space~$G$. The anomaly originates from the nontrivial topology of the space of maps and manifests as a phase in the fermion path integral. Using the global anomaly formula expressed in terms of the reduced~$η$-invariant, we demonstrate that this anomaly modifies the standard quantization condition of the Wess--Zumino term on~$G$, in close analogy w…

Tyler Smith, Cowboys agree to terms on massive contract extension https://www.dallascowboys.com/news/tyler-smith-cowboys-agree-to-terms-on-massive-contract-extension

Trump doing Putin's work, absolutely horrifying, big respect for Zelensky, who stays "cool" , at least in public.
https://www.ft.com/content/7960c6aa-dbfa-4a55-91e8-ae44601842ec

Trump urged Zelenskyy to accept Putin’s terms or be ‘destroyed’ by Russia
US president tossed aside maps of Ukraine frontline in volatile White House meeting

On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms
Michael Filaseta, Alexandros Kalogirou
https://arxiv.org/abs/2508.12242 https://

On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms
We provide an alternative exposition of a result due to Schinzel. Fix an integer $k \ge 2$. For almost all choices of positive integers $n_{1} < \cdots < n_{k}$, we show that the polynomial $F(x) = 1 + x^{n_{1}} + \cdots + x^{n_{k}}$, removed of its cyclotomic factors, is irreducible.

On the simultaneous recovery of boundary impedance and internal conductivity
Jinchao Pan, Jijun Liu
https://arxiv.org/abs/2509.15878 https://arxiv.org/pdf/…

On the simultaneous recovery of boundary impedance and internal conductivity
Consider an inverse problem of the simultaneous recovery of boundary impedance and internal conductivity in the electrical impedance tomography (EIT) model using local internal measurement data, which is governed by a boundary value problem for an elliptic equation in divergence form with Robin boundary condition. We firstly express the solution to the forward problem by volume and surface potentials in terms of the Levi function. Then, for the inverse problem, we prove the uniqueness of the so…

There's a trick for liberals who are still coming to terms with everything: from here on out, ask yourself "If this was a case in Putin's Russia, would I believe the evidence?"

Anthropic requires users to accept new terms by September 28, including choosing whether new chats and coding sessions can be used to train AI models (Anthropic)
https://www.anthropic.com/news/updates-to-our-consumer-terms

Updates to Consumer Terms and Privacy Policy
Anthropic is an AI safety and research company that's working to build reliable, interpretable, and steerable AI systems.

Distribution of integer points on determinant surfaces and a $\text{mod-}p$ analogue
Satadal Ganguly, Rachita Guria
https://arxiv.org/abs/2508.14793 https://

Distribution of integer points on determinant surfaces and a $\text{mod-}p$ analogue
We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form $xy-zw=r$, where $r$ is a non-zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables $x, y, z, w$ as well as of $r$. We also establish an asymptotic formula for counting integer solutions with smooth weights to the congruence $xy-zw \equiv 1 (\text{mod }p)$, where $p$ is a large prime, with a strong bound on the error term.