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arXiv:2602.10464v1 Announce Type: new Abstract: Recent advances in artificial intelligence have enabled the generation of large-scale, low-cost predictions with increasingly high fidelity. As a result,...
arXiv:2602.10466v1 Announce Type: new Abstract: We describe a new algorithm for verifying the Collatz conjecture for all n < 2^N for some fixed N. The...
arXiv:2602.10470v1 Announce Type: new Abstract: We describe inexact proximal Newton-like methods for solving degenerate regularized optimization problems and for the broader problem of finding a...
arXiv:2602.10482v1 Announce Type: new Abstract: Unmanned aerial vehicle (UAV) downlink transmission facilitates critical time-sensitive visual applications but is fundamentally constrained by bandwidth scarcity and dynamic...
arXiv:2602.10488v1 Announce Type: new Abstract: Alp\"oge--Bhargava--Shnidman showed that even a strengthened \emph{no local obstruction} condition for monogenicity does not force a global power integral basis:...
arXiv:2602.10497v1 Announce Type: new Abstract: Let $\varphi$ be the H\"ormander--Bernhardsson extremal function, and let $(\pm\tau_n)_{n\ge1}$ be its real zeros. Using the recent analytic description of...
arXiv:2602.10499v1 Announce Type: new Abstract: For integers m >= 1, s >= 0, and t >= 1, let K_s + mK_t denote the join of...
arXiv:2602.10507v1 Announce Type: new Abstract: A subbundle of rank 3 in the tangent bundle over a 6-dimensional manifold is called a (3, 6)-distribution if its...
arXiv:2602.10509v1 Announce Type: new Abstract: We obtain periodic solutions for nonlinear Dirac equations with a nonlinear term that is not necessarily coercive. This amounts to...
arXiv:2602.10517v1 Announce Type: new Abstract: We show that the normal points of a cubic hypersurface in projective space have canonical singularities unless the hypersurface is...
arXiv:2602.10519v1 Announce Type: new Abstract: We describe several infinite families of braided finite tensor categories. A simplest example gives a non-degenerate braided tensor category which...
arXiv:2602.10536v1 Announce Type: new Abstract: In this paper, we study inequalities involving polynomials and quasimodular forms. More precisely, we focus on the monotonicity of the...
arXiv:2602.10541v1 Announce Type: new Abstract: Recent random feature methods for solving partial differential equations (PDEs) reduce computational cost compared to physics-informed neural networks (PINNs) but...
arXiv:2602.10542v1 Announce Type: new Abstract: Shannon theory models communication as the reliable transfer of symbol sequences, with performance governed by capacity and rate-distortion limits. When...
arXiv:2602.10550v1 Announce Type: new Abstract: In this paper, we propose a robust and efficient numerical framework for simulating multicomponent gas flow in poroelastic media, with...
arXiv:2602.10558v1 Announce Type: new Abstract: Starting with a known polynomial identity, we derive two generalizations of Touchard's identity concerning Catalan numbers; one obtained using the...
arXiv:2602.10563v1 Announce Type: new Abstract: We investigate thermalization and symmetry-breaking in a nonlinear stochastic Klein-Gordon equation on a spatial lattice, taking into account damping, nonlinear...
arXiv:2602.10578v1 Announce Type: new Abstract: We show that for any constant $\mu>0$ and $k\ge 3$, there exists $\alpha>0$ such that the following holds for sufficiently...
arXiv:2602.10580v1 Announce Type: new Abstract: We study the almost sure convergence of the Stochastic Approximation algorithm to the fixed point $x^\star$ of a nonlinear operator...
arXiv:2602.10582v1 Announce Type: new Abstract: Let $\mathcal{L}$ be a line bundle on a smooth and proper scheme $X$ over $S$. We compute, in the case...
arXiv:2602.10590v1 Announce Type: new Abstract: In this paper, we numerically study a two-dimensional system modeling the dynamics of dislocation densities. This system is hyperbolic, but...
arXiv:2602.10591v1 Announce Type: new Abstract: This paper examines the stability threshold at high Reynolds numbers $\textbf{Re}$ for the three-dimensional Boussinesq equations with rotation on the...
arXiv:2602.10599v1 Announce Type: new Abstract: In this paper, we introduce a Kantorovich version of the Bernstein-type logarithmic operators. The idea comes from the wide literature...
arXiv:2602.10605v1 Announce Type: new Abstract: Mixed-precision computing has become increasingly important in modern high-performance computing and machine learning applications. When implementing custom mixed-precision functions --...