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arXiv:2601.23078v1 Announce Type: new Abstract: We prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence...
arXiv:2601.23089v1 Announce Type: new Abstract: We classify all finite groups that have lifting property of mod $p$ representations to mod $p^2$ representations for all prime...
arXiv:2601.23091v1 Announce Type: new Abstract: We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive...
arXiv:2601.23099v1 Announce Type: new Abstract: We study the structure of seminoetherian modules. Seminoetherian modules over non-primitive hereditary noetherian prime rings are completely described.
arXiv:2601.23101v1 Announce Type: new Abstract: In "Bipartite minors," Chudnovsky etal. introduced the bipartite minor relation, a partial order on the set of bipartite graphs somewhat...
arXiv:2601.23104v1 Announce Type: new Abstract: The broadcasting problem concerns the efficient dissemination of information in graphs. In classical broadcasting, a single originator vertex initially has...
arXiv:2601.23110v1 Announce Type: new Abstract: Let $\varphi$ denote a $k$-algebra endomorphism of the $n$-th Weyl algebra $A_n(k)$ over a perfect field $k$ of positive characteristic...
arXiv:2601.23111v1 Announce Type: new Abstract: For a Coxeter element $c$ in a Weyl group $W$, we define the $c$-Coxeter flag variety $\operatorname{CFl}_c\subset G/B$ as the...
arXiv:2601.23113v1 Announce Type: new Abstract: We show how various constructions of $\mathbb{Z}$-graded Lie superalgebras are related to each other. These Lie superalgebras have a Lie...
arXiv:2601.23115v1 Announce Type: new Abstract: In this manuscript, we shall investigate the Nonlinear Magnetic Schr\"odinger Equation on noncompact metric graphs, focusing on the existence of...
arXiv:2601.23118v1 Announce Type: new Abstract: The paper considers a global version of the notion of log canonical threshold for plurisubharmonic functions $u$ of logarithmic growth...
arXiv:2601.23120v1 Announce Type: new Abstract: In this paper, we propose a general Tikhonov regularized second-order dynamical system with viscous damping, time scaling and extrapolation coefficients...
arXiv:2601.23122v1 Announce Type: new Abstract: This paper frames calculus as a global, centuries-long development rather than a subject that began only with Newton and Leibniz....
arXiv:2601.23124v1 Announce Type: new Abstract: Conditional independence testing (CIT) is essential for reliable scientific discovery. It prevents spurious findings and enables controlled feature selection. Recent...
arXiv:2601.23125v1 Announce Type: new Abstract: Given a polynomial $f\in\mathbb{C}[x_1,\ldots,x_n]$ and an integer $\ell\in\mathbb{Z}$, we study some properties of the b-function with respect to weights of...
arXiv:2601.23138v1 Announce Type: new Abstract: The aim of this paper is to establish well-posedness properties for hyperbolic PDEs on Fourier Lebesgue spaces. We consider hyperbolic...
arXiv:2601.23144v1 Announce Type: new Abstract: A 2-covering for a finite group $G$ is a set of proper subgroups of $G$ such that every pair of...
arXiv:2601.23158v1 Announce Type: new Abstract: We present series converging to the Riemann zeta function in its half-plane of convergence, and possessing remainders whose sizes decrease...
arXiv:2601.23165v1 Announce Type: new Abstract: Kelley-Morse set theory KM is weaker than generally supposed and fails to prove several principles that may be desirable in...
arXiv:2601.23170v1 Announce Type: new Abstract: In this paper, we introduce and study two variants of the chromatic quasisymmetric function of a graph: the total chromatic...
arXiv:2601.23175v1 Announce Type: new Abstract: We develop a continuum limit and mean-field theory for interacting particle systems (IPS) on self-similar networks, a new class of...
arXiv:2601.23185v1 Announce Type: new Abstract: In the context of training neural network-based approximations of solutions of parameter-dependent PDEs, we investigate the effect of preconditioning via...
arXiv:2601.23186v1 Announce Type: new Abstract: Powers of a polynomial $\operatorname{GL}$-representation are topologically Noetherian under the action of $\operatorname{Sym} \times \operatorname{GL}$. We show that this result...
arXiv:2601.23187v1 Announce Type: new Abstract: In this paper, we propose a new framework for solving a general dynamic optimal stopping problem without time consistency. A...