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arXiv:2601.04324v2 Announce Type: replace Abstract: We study a class of parabolic equations in non-divergence form with measurable coefficients that exhibit singular and/or degenerate behavior governed...
arXiv:2601.06430v2 Announce Type: replace Abstract: In this work, we investigate a blockage-aware pinching antenna (PA) system designed for secure and robust wireless communication. The considered...
arXiv:2601.09392v2 Announce Type: replace Abstract: This paper is motivated by a recent paper of Yuki Fujii and Toyohiro Tsurumaru in which they established a beautiful...
arXiv:2601.10055v2 Announce Type: replace Abstract: We prove Kov\'acs' conjecture that claims that if the $p^{th}$ exterior power of the tangent bundle of a smooth complex...
arXiv:2601.10359v3 Announce Type: replace Abstract: We derive an Ito-type change-of-variables formula for stochastic processes admitting a causal derivation-divergence representation. The result applies to a broad...
arXiv:2601.12596v2 Announce Type: replace Abstract: We give novel and explicit formulas for the Ehrhart quasi-polynomials of rational simple polytopes, in terms of Barnes polynomials and...
arXiv:2601.13249v3 Announce Type: replace Abstract: Volume polynomials form a distinguished class of log-concave polynomials with remarkable analytic and combinatorial properties. I will survey realization problems...
arXiv:2601.16044v2 Announce Type: replace Abstract: Recent work of Burungale-Skinner-Tian-Wan established the first infinite families of quadratic twists of non-CM elliptic curves over $\mathbb{Q}$ for which...
arXiv:2601.17174v2 Announce Type: replace Abstract: In this paper, we study type $B$ set partitions without zero block. Certain classes of these partitions, such as merging-free...
arXiv:2601.18599v3 Announce Type: replace Abstract: The d'Arcais numbers are the triangular array $\{A(2,n,k)\, :\, n=0,1,\dots,\, k=0,\dots,n\}$, such that $\sum_{n=0}^{\infty} \sum_{k=0}^{n} A(2,n,k) x^k z^n/n! = ((z;z)_{\infty})^{-x}$....
arXiv:2601.19195v2 Announce Type: replace Abstract: We study the sum-of-squares (SOS) rank of simple and diagonal biquadratic forms. For simple biquadratic forms in $3 \times 3$...
arXiv:2601.20684v2 Announce Type: replace Abstract: We investigate the spectral stability of small-amplitude shock profiles for the one-dimensional isothermal Navier-Stokes-Poisson system, which describes ion dynamics in...
arXiv:2601.20807v2 Announce Type: replace Abstract: In this paper, we introduce a mixed virtual element method to approximate the eigenvalues and eigenfunctions of the two-dimensional elasticity...
arXiv:2601.21018v2 Announce Type: replace Abstract: We consider a (sub)diffusion equation with a nonlinearity of the form $pf(u)-qu$, where $p$ and $q$ are space dependent functions....
arXiv:2601.21038v2 Announce Type: replace Abstract: In this paper we prove convergence to a steady state as $t\to\infty$ for solutions to the subdiffusion equation \[ \partial_t^\alpha...
arXiv:2601.21588v2 Announce Type: replace Abstract: In this paper, we explicitly construct Maass wave cusp forms associated to Hecke characters on arbitrary real quadratic fields. This...
arXiv:2601.21828v2 Announce Type: replace Abstract: We establish that every set of $k=10$ natural numbers determines at least $30$ distinct pairwise sums or at least $30$...
arXiv:2211.09284v4 Announce Type: replace-cross Abstract: We describe a family of iterative algorithms that involve the repeated execution of discrete and inverse discrete Fourier transforms. One...
arXiv:2309.03855v3 Announce Type: replace-cross Abstract: Many systems of interest in cryptography consist of equations of the same degree. Under the assumption that the degree of...
arXiv:2311.03215v3 Announce Type: replace-cross Abstract: We describe a quantum algorithm based on an interior point method for solving a linear program with $n$ inequality constraints...
arXiv:2401.16919v4 Announce Type: replace-cross Abstract: Providing closed-form estimates of the decoding failure rate of iterative decoders for low- and moderate-density binary parity-check codes has attracted...
arXiv:2402.12683v5 Announce Type: replace-cross Abstract: Conformal prediction (CP) is a powerful statistical framework that generates prediction intervals or sets with guaranteed coverage probability. While CP...
arXiv:2404.09113v4 Announce Type: replace-cross Abstract: Variational inference (VI) has emerged as a popular method for approximate inference for high-dimensional Bayesian models. In this paper, we...
arXiv:2406.09195v5 Announce Type: replace-cross Abstract: Thousands of experiments are analyzed and papers are published each year involving the statistical analysis of grouped data. While this...