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arXiv:2509.11912v2 Announce Type: replace Abstract: We study a system of fully nonlinear elliptic equations, depending on a small parameter $\eps$, that models long-range segregation of...
arXiv:2509.15119v2 Announce Type: replace Abstract: Let $I$ be a monomial ideal in a polynomial ring $S=K[x_1,\ldots,x_n]$ over a field $K$ with $n=2$ or $3$, and...
arXiv:2509.20471v2 Announce Type: replace Abstract: We investigate the existence of generalised densities for the $\Phi^4_d$ $(d=1,2,3)$ measures, in finite volume, through the lens of Onsager-Machlup...
arXiv:2509.21095v2 Announce Type: replace Abstract: We investigate the persistence of spatial analyticity for solutions to the Majda-Biello and Hirota-Satsuma systems with analytic initial data. This...
arXiv:2510.10018v3 Announce Type: replace Abstract: For a Galois number field $K$, the Galois group $\text{Gal}(K/\mathbb{Q})$ acts on the class group $Cl_K$ in a very natural...
arXiv:2510.13295v2 Announce Type: replace Abstract: Two confluent rewriting systems in noncommutatives polynomials are constructed using the equations allowing the identification of the local coordinates (of...
arXiv:2510.14754v2 Announce Type: replace Abstract: An action of a finite group $G$ is a pair $(S,\hat{G})$, where $S$ is a compact Riemann surface of genus...
arXiv:2510.17325v2 Announce Type: replace Abstract: In this paper, we consider high-dimensional Lp-quantile regression which only requires a low order moment of the error and is...
arXiv:2510.19458v3 Announce Type: replace Abstract: Carrollian manifolds offer an intrinsic geometric framework for the physics in the ultra-relativistic limit. The recently introduced Carrollian Lie algebroids...
arXiv:2510.23754v2 Announce Type: replace Abstract: In relation to Fuglede's conjecture, we establish several Plancherel-type identities and demonstrate the surjectivity of the Fourier transform between certain...
arXiv:2510.26737v2 Announce Type: replace Abstract: In modeling biological systems and other applications, an important recurring question is whether those systems maintain healthy regimes not just...
arXiv:2511.05514v3 Announce Type: replace Abstract: A new operator-level necessity result for the Chapman--Enskog expansion is established: in closed and unforced kinetic systems, the $O(\varepsilon)$ deviatoric...
arXiv:2511.19051v2 Announce Type: replace Abstract: As is known, every finite-dimensional algebra over a field is isomorphic to the centralizer algebra of \textbf{two} matrices. So it...
arXiv:2511.21521v2 Announce Type: replace Abstract: We classify the irreducible anyon sectors of Levin-Wen models over an arbitrary unitary fusion category $\mathcal{C}$, showing that they are...
arXiv:2512.02142v2 Announce Type: replace Abstract: We extend the complete census of orientable cusped hyperbolic $3$-manifolds to $10$ tetrahedra, giving the next $150730$ manifolds and their...
arXiv:2512.02208v2 Announce Type: replace Abstract: We couple projective limits of probability measures to direct limits of their symmetry groups. We show that the direct limit...
arXiv:2512.04020v2 Announce Type: replace Abstract: Based on entropy and symmetrical uncertainty (SU), we define a metric for categorical random variables and show that this metric...
arXiv:2512.04506v2 Announce Type: replace Abstract: This paper investigates the (fractional) heat equation with a nonlocal nonlinearity involving a Riesz potential: \begin{equation*} u_{t}+(-\Delta)^{\frac{\beta}{2}} u= I_\alpha(|u|^{p}),\qquad x\in...
arXiv:2512.04858v3 Announce Type: replace Abstract: An exact channel impulse response (CIR) for the three-dimensional point-to-sphere absorbing channel under drift has remained unavailable due to symmetry...
arXiv:2512.13993v2 Announce Type: replace Abstract: A multiscale optimization framework for problems over a space of Lipschitz continuous functions is developed. The method solves a coarse-grid...
arXiv:2512.15102v2 Announce Type: replace Abstract: We derive error bounds for CUR matrix approximation using determinant-based methods that relate local projection errors to global approximation quality....
arXiv:2512.21350v2 Announce Type: replace Abstract: This paper analyzes a service system modeled as a single-server queue, in which the service provider aims to dynamically maximize...
arXiv:2512.22797v2 Announce Type: replace Abstract: The established equivalence between 2-crossed modules and Gray 3-groups [M. Sarikaya and E. Ulualan, 2024] serves as a benchmark for...
arXiv:2601.02335v2 Announce Type: replace Abstract: Let $C\subset\mathbb{R}^2$ be a convex body, and for a positive integer $N$, let $\mathcal{P}$ be a configuration of $N$ points...