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Radicals in primitive axial algebras

arXiv:2602.11984v1 Announce Type: new Abstract: The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra $A$ with a Frobenius...

Achievability Bounds of Coding with Finite Blocklength for Gaussian Broadcast Channels

arXiv:2602.11986v1 Announce Type: new Abstract: In this paper, we study the achievable performance of dirty paper coding for the Gaussian broadcast channel (BC) with finite...

Recovery of an Anisotropic Conductivity from the Neumann-to-Dirichlet Map in a Semilinear Elliptic Equation

arXiv:2602.11987v1 Announce Type: new Abstract: We study the inverse boundary value problem of detecting a non-uniform conductivity motivated by pacing-guided ablation in cardiac electrophysiology. At...

A positive instance of Scott's Conjecture on induced subdivisions

arXiv:2602.11990v1 Announce Type: new Abstract: For a graph $G$, $\chi(G)$ denotes the chromatic number of $G$ and $\omega(G)$ denotes the size of the largest clique...

Genetics Policy

Improved Interior Gradient Estimates for the Mean Curvature Equation under Nonlinear Assumptions

arXiv:2602.11991v1 Announce Type: new Abstract: In this paper, we investigate interior gradient estimates for solutions to the mean curvature equation $$ \dive \left( \frac{\nabla u}{\sqrt{1...

Local convergence of mean-field Langevin dynamics: from gradient flows to linearly monotone games

arXiv:2602.11999v1 Announce Type: new Abstract: We study the local convergence of diffusive mean-field systems, including Wasserstein gradient flows, min-max dynamics, and multi-species games. We establish...

Technology Mathematics

Two-point functions in boundary loop models

arXiv:2602.12000v1 Announce Type: new Abstract: Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in...

Technology Policy

Inner regularity and Liouville theorems for stable solutions to the mean curvature equation

arXiv:2602.12001v1 Announce Type: new Abstract: Let $f\in C^1(\mathbb{R})$. We study stable solutions $u$ of the mean curvature equation \[ \operatorname{div}\left( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}} \right) =...

Mathematics Software

A Novel Approach to Peng's Maximum Principle for McKean-Vlasov Stochastic Differential Equations

arXiv:2602.12006v1 Announce Type: new Abstract: We present a novel approach to the proof of Peng's maximum principle for McKean-Vlasov stochastic differential equations (SDE). The main...

Density of Neumann regular smooth functions in Sobolev spaces of subanalytic manifolds

arXiv:2602.12007v1 Announce Type: new Abstract: We give characterizations of the bounded subanalytic $\mathscr{C}^\infty$ submanifolds $M$ of $\mathbb{R}^n$ for which the space of Neumann regular functions...

Policy Space & Astronomy

Mesh-free numerical method for Dirichlet eigenpairs of the Laplacian with potential

arXiv:2602.12008v1 Announce Type: new Abstract: This paper is concerned with the numerical approximation of the $L^2$ Dirichlet eigenpairs of the operator $-\Delta + V$ on...

General-purpose post-sampling reweighting method for multimodal target measures

arXiv:2602.12027v1 Announce Type: new Abstract: When sampling multi-modal probability distributions, correctly estimating the relative probability of each mode, even when the modes have been discovered...

On the interplay between $(p,q)$-growth and $x$-dependence of the energy integrand: a limit case

arXiv:2602.12033v1 Announce Type: new Abstract: We establish the local Lipschitz regularity of the local minimizers of non autonomous integral funtionals of the form \[ \int_\Omega...

Robotics Software

Anomaly Reparametrization of the Ligon--Schaaf Regularization in the Kepler problem

arXiv:2602.12034v1 Announce Type: new Abstract: We revisit the Ligon--Schaaf regularization of the Kepler problem and identify the geometric origin of the rotation appearing in their...

Software Energy

Local boundedness for solutions to parabolic $p,q$-problems with degenerate coefficients

arXiv:2602.12046v1 Announce Type: new Abstract: We investigate the local boundedness of solutions $u:\Omega_T\to\mathbb{R}$ to parabolic equations of the form \begin{equation*} \partial_tu-\mathrm{div}\,\mathcal{A}(x,t,Du)=0 \qquad\mbox{in }\Omega_T=\Omega\times(0,T) \end{equation*} that...

Energy Mathematics

Momentum Distribution of the Dilute Fermi Gas

arXiv:2602.12067v1 Announce Type: new Abstract: We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves...

Quantum Computing Energy

Some remarks on monodromy

arXiv:2602.12073v1 Announce Type: new Abstract: We consider hypoelliptic symbols over a very regular Lie group and discuss monodromy for a spectral stratification using results of...

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Weak stability conditions on coherent systems of genus four curves

arXiv:2602.12076v1 Announce Type: new Abstract: The derived category of coherent systems is an interesting triangulated category associated with a smooth, projective curve $C$. These categories...

Policy Biology

Series involving central binomial coefficients and harmonic numbers of order 2

arXiv:2602.12091v1 Announce Type: new Abstract: We derive modular parametrizations for certain infinite series whose summands involve central binomial coefficients and second-order harmonic numbers. When the...

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Local Integrable Symmetries of Diffieties

arXiv:2602.12103v1 Announce Type: new Abstract: In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one...

Matrix bordering structure of the Faddeev-Jackiw algorithm: Schur complement regularization and symbolic automation

arXiv:2602.12114v1 Announce Type: new Abstract: We show that the iterative Faddeev-Jackiw (FJ) reduction for singular Lagrangian systems constitutes a geometrically constrained instance of the Matrix...

Engineering Robotics

Low T-Phase Rank Approximation of Third Order Tensors

arXiv:2602.12121v1 Announce Type: new Abstract: We study low T-phase-rank approximation of sectorial third-order tensors $\mathscr{A}\in\mathbb{C}^{n\times n\times p}$ under the tensor T-product. We introduce canonical T-phases...