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Browns rookie Shedeur Sanders pantomimes answers to Cleveland media following Joe Flacco's benching https://www.nfl.com/news/browns-rookie-shedeur-sanders-pantomimes-answers-to-cleveland-media-following-joe-flacco-s-b…

Die 'gläserne Decke' für Ü50 existiert nicht trotz, sondern wegen Vorurteilen. 64,3% Beschäftigungsquote bei 55-59-Jährigen beweist: Sie sind da, sie arbeiten - aber Karriere? Fehlanzeige. Zeit für strukturellen Wandel statt Lippenbekenntnissen, meint Marcus K. Reif. #Altersdiskrimierung, #Ageism

Bessmertny\u{i} realizations of symmetric multivariate rational matrix functions over any field
Jason Elsinger, Ian Orzel, Aaron Welters
https://arxiv.org/abs/2509.00553 https:/…

Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field
In this paper, we prove the following. First, every square matrix whose entries are multivariable rational functions over a field $\mathbb{F}$ has a Bessmertnyĭ realization, i.e., is the Schur complement of an affine linear square matrix pencil with coefficients in $\mathbb{F}$. Second, if the matrix is also symmetric and the characteristic of the field $\mathbb{F}$ is not two then it has a symmetric Bessmertnyĭ realization (i.e., the pencil can be chosen to consist of symmetric matrices) and…

Weak-strong uniqueness for general cross-diffusion systems with volume filling
Maria Heitzinger, Ansgar J\"ungel
https://arxiv.org/abs/2509.25978 https://

Weak-strong uniqueness for general cross-diffusion systems with volume filling
The weak-strong uniqueness of solutions to a broad class of cross-diffusion systems with volume filling is established. In general, the diffusion matrices are neither symmetric nor positive definite. This issue is overcome by supposing that the equations possess a Boltzmann-type entropy structure, which ensures the existence of bounded weak solutions. In this framework, general conditions on the mobility matrix are identified that allow for the proof of the weak-strong uniqueness property by me…

Form uniqueness for graphs with weakly spherically symmetric ends
Luis Hernandez, Sean Ku, Jun Masamune, Genevieve Romanelli, Rados{\l}aw K. Wojciechowski
https://arxiv.org/abs/2509.22967

Form uniqueness for graphs with weakly spherically symmetric ends
We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs.

UMG and Stability AI announce a partnership to develop music creation tools powered by "responsibly" trained AI (Marc Schneider/Billboard)
https://www.billboard.com/pro/umg-stability-ai-partnership-develop-music-creation-tools/

UMG Partners With Stability AI to Develop Music Creation Tools for Artists, Producers
Following its Udio settlement, UMG teams up with Stability AI to build responsibly trained AI tools that empower artists and protect copyrights.

Energy minimization for skyrmions on planar thin films
Giovanni Di Fratta, Michael Innerberger, Dirk Praetorius, Valeriy Slastikov
https://arxiv.org/abs/2509.23495 https://

Energy minimization for skyrmions on planar thin films
We consider an energy functional that arises in micromagnetic and liquid crystal theory on thin films. In particular, our energy comprises a non-convex term that models anti-symmetric exchange as well as an anisotropy term. We devise an algorithm for energy minimization in the continuous case and show weak convergence of a subsequence towards a solution of the corresponding Euler--Lagrange equation. Furthermore, an algorithm for numerical energy minimization is presented. We show empirically th…

Degenerate systems of three Brownian particles with asymmetric collisions: invariant measure of gaps
Thomas Dreyfus (UBE), Jules Flin (IP Paris, TSP, SOP - SAMOVAR), Sandro Franceschi (IP Paris, TSP, SOP - SAMOVAR)
https://arxiv.org/abs/2510.01807

Degenerate systems of three Brownian particles with asymmetric collisions: invariant measure of gaps
We consider a degenerate system of three Brownian particles undergoing asymmetric collisions. We study the gap process of this system and focus on its invariant measure. The gap process is described as an obliquely reflected degenerate Brownian motion in a quadrant. For all possible parameter cases, we compute the Laplace transform of the invariant measure, and fully characterize the conditions under which it belongs to the following classes: rational, algebraic, differentially finite, or diffe…

Non-Hermitian Skin Effect and Electronic Nonlocal Transport
Carlos Pay\'a, Oliver Solow, Elsa Prada, Ram\'on Aguado, Karsten Flensberg
https://arxiv.org/abs/2510.00921 h…

Non-Hermitian Skin Effect and Electronic Nonlocal Transport
Open quantum systems governed by non-Hermitian effective Hamiltonians exhibit unique phenomena, such as the non-Hermitian skin effect, where eigenstates localize at system boundaries. We investigate this effect in a Rashba nanowire coupled to a ferromagnetic lead and demonstrate that it can be detected via non-local transport spectroscopy: while local conductance remains symmetric, the non-local conductance becomes non-reciprocal. We account for this behavior using both conventional transport a…

UMG and Stability AI announce a partnership to develop music creation tools powered by "responsibly" trained AI (Marc Schneider/Billboard)
https://www.billboard.com/pro/umg-stability-ai-partnership-develop-music-creation-tools/

UMG Partners With Stability AI to Develop Music Creation Tools for Artists, Producers
Following its Udio settlement, UMG teams up with Stability AI to build responsibly trained AI tools that empower artists and protect copyrights.