Tootfinder

California Assembly passes a bill that requires device makers and app stores to verify user ages; Google and Meta support the bill, while the MPA opposes it (Tyler Katzenberger/Politico)
https://www.politico.com/news/2025/09/13/c

A Study of Kirk's Asymptotic Contractions via Leader Contractions
Hassan Khandani
https://arxiv.org/abs/2507.05276 https://arxiv.…

A Study of Kirk's Asymptotic Contractions via Leader Contractions
This paper investigates asymptotic fixed point results for nonlinear contractions, with emphasis on Kirk-type theorems and their generalizations. A central difficulty in the literature has been the requirement that the mapping possesses a bounded orbit, a condition that is often hard to verify and traditionally viewed as essential for guaranteeing the existence of fixed points. We eliminate this boundedness assumption by proving that every asymptotic Kirk contraction is a Leader contraction, …

A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
Emile Breton
https://arxiv.org/abs/2509.04025 https://arxiv.org/pdf/2509.04025…

A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
We prove that under a generic asymptotic condition on the charge, the small data solutions to the Vlasov-Maxwell system do not verify linear scattering. In other words, we show the non-$L^1$ asymptotic completeness of the system. The proof makes use of the Lorentz invariance of the equations.

Some geometric properties of generalized $\varphi$-vacuum static spaces
Letizia Branca, Paolo Mastrolia, Marco Rigoli
https://arxiv.org/abs/2509.05125 https://

Some geometric properties of generalized $φ$-vacuum static spaces
In this paper we study the geometry of generalized $φ$-vacuum static spaces, proving estimates for the $φ$-scalar curvature and for the first eigenvalue of the Jacobi operator, and also rigidity under various geometric assumptions; in particular, we prove a result related to the famous Cosmic no-hair conjecture of Boucher, Gibbons and Horowitz.

Ukraine bestätigt Treffer an Aufklärungsschiff
Der Sprecher der ukrainischen Marine, Dmytro Pletentschuk, hat einen Treffer am Schiff "Simferopol" durch einen russischen Angriff bestätigt. Es habe einen Toten und mehrere Verletzte gegeben, sagte er. Der Großteil der Mannschaft sei aber in Sicherheit. "Die Suche nach mehreren Matrosen wird fortgesetzt", sagte er. Die Folgen der Attacke würden derzeit beseitigt. Nach Auskunft R…
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Ukraine-Liveblog: ++ Macron wirft Russland "Terror und Barbarei" vor ++
Die Verbündeten der Ukraine verurteilen die jüngsten Angriffe Russlands. Frankreichs Präsident Macron prangert "Terror und Barbarei" an. Außenminister Wadephul will in Estland und Dänemark über die Sicherheitslage im Ostseeraum beraten.

Dynamical approach to area law for lattice Yang-Mills
Sky Cao, Ron Nissim, Scott Sheffield
https://arxiv.org/abs/2509.04688 https://arxiv.org/pdf/2509.0468…

Dynamical approach to area law for lattice Yang-Mills
In this note, we observe that the dynamical approach to lattice Yang-Mills set forth in [SZZ23] may also be applied to prove Wilson's area law in the 't Hooft regime of parameters. The main point is to verify the mass gap condition from [DF80], from which area law directly follows. Our results apply for gauge groups $G \in \{\mathrm{U}(N), \mathrm{SU}(N), \mathrm{SO}(2N)\}$, which all have nontrivial center (which is one of the key assumptions in [DF80]).

Evaluating classical simulations with a quantum processor
Alberto Nocera, Jack Raymond, William Bernoudy, Mohammad H. Amin, Andrew D. King
https://arxiv.org/abs/2508.15759 https…

Evaluating classical simulations with a quantum processor
As simulations of quantum systems cross the limits of classical computability, both quantum and classical approaches become hard to verify. Scaling predictions are therefore based on local structure and asymptotic assumptions, typically with classical methods being used to evaluate quantum simulators where possible. Here, in contrast, we use a quantum annealing processor to produce a ground truth for evaluating classical tensor-network methods whose scaling has not yet been firmly established. …

WhatsApp Tiplines and Multilingual Claims in the 2021 Indian Assembly Elections
Gautam Kishore Shahi, Scot A. Hale
https://arxiv.org/abs/2507.16298 https:/…

WhatsApp Tiplines and Multilingual Claims in the 2021 Indian Assembly Elections
WhatsApp tiplines, first launched in 2019 to combat misinformation, enable users to interact with fact-checkers to verify misleading content. This study analyzes 580 unique claims (tips) from 451 users, covering both high-resource languages (English, Hindi) and a low-resource language (Telugu) during the 2021 Indian assembly elections using a mixed-method approach. We categorize the claims into three categories, election, COVID-19, and others, and observe variations across languages. We compare…

Tutorial: $\varphi$-Transductions in OpenFst via the Gallic Semiring
Marco Cognetta, Cyril Allauzen
https://arxiv.org/abs/2506.17942 https://

Tutorial: $φ$-Transductions in OpenFst via the Gallic Semiring
OpenFst, a popular finite-state transducer library, supports $φ$-transitions but, due to an implementation constraint, they cannot be used with transducers in a straightforward way. In this short tutorial, we describe how one can use other functionality provided by OpenFst (namely, the Gallic semiring) to correctly implement $φ$-transductions and demonstrate it by implementing the MaxMatch (WordPiece) tokenization algorithm (Devlin et al., 2019; Song et al., 2021). Accompanying self-contain…

Sidorenko-Type Inequalities for Even Subdivisions over Finite Abelian Groups
Yuqi Zhao
https://arxiv.org/abs/2507.15723 https://arxiv…

Sidorenko-Type Inequalities for Even Subdivisions over Finite Abelian Groups
Sidorenko's conjecture asserts that every bipartite graph $H$ has the property that, for any host graph $G$, the homomorphism density from $H$ to $G$ is asymptotically at least as large as in a quasirandom graph with the same edge density as $G$. While the conjecture remains still very open, Szegedy showed that it suffices to verify the inequality when the host graph is a Cayley graph over a finite group. In this paper, we prove that Sidorenko's conjecture holds for all even subdivisions of a…