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arXiv:2510.03238v2 Announce Type: replace Abstract: We prove that the geometric Weyl bulk-density exponent $(d-2)/2$ rigidifies spectral encodings $C=\pi-\phi(\lambda)$ in the O-regularly varying class: the bulk...
arXiv:2510.04836v2 Announce Type: replace Abstract: Free independence is an important tool for studying the structure of operator algebras. It is natural to ask from the...
arXiv:2510.06868v2 Announce Type: replace Abstract: We consider image transmission via deep joint source-channel coding (DeepJSCC) over multi-hop additive white Gaussian noise (AWGN) channels by training...
arXiv:2510.09143v2 Announce Type: replace Abstract: In this paper we consider the multiparty equality problem in graphs, where every vertex of a graph $G$ is given...
arXiv:2510.12600v2 Announce Type: replace Abstract: Determining the asymptotic independence ratio of random regular graphs is a key challenge in the area of sparse random graphs....
arXiv:2510.16599v2 Announce Type: replace Abstract: Tipping points characterize situations where a regulated system may experience a sudden and irreversible change and are generally associated with...
arXiv:2510.16825v2 Announce Type: replace Abstract: Suppose $F$ is an infinite field and let $f \in F\{X_1, \dots,X_m\}$ be a noncommutative polynomial. Partially answering a query...
arXiv:2510.18758v4 Announce Type: replace Abstract: We study the existence and multiplicity of weak solutions for the following quasilinear elliptic system: \[ \begin{cases} -\mathrm{div}(A_1(x,u_1)\nabla u_1) +...
arXiv:2510.20142v3 Announce Type: replace Abstract: We propose a novel class of neural network-like parametrized functions, i.e., general transformation neural networks (GTNNs), for high-dimensional approximation. Conventional...
arXiv:2510.24527v2 Announce Type: replace Abstract: We derive parameter-robust quasi-optimal error estimates for mixed finite element methods for the nonlinear Darcy--Forchheimer equations with mixed boundary conditions....
arXiv:2510.24967v2 Announce Type: replace Abstract: Newton's method may exhibit slower convergence than vanilla Gradient Descent in its initial phase on strongly convex problems. Classical Newton-type...
arXiv:2511.01765v2 Announce Type: replace Abstract: We consider a class of scale-invariant curvature energies defined on immersed $4$-dimensional manifolds and prove that weak immersions that are...
arXiv:2511.05926v3 Announce Type: replace Abstract: State-space models (SSMs) have recently emerged as efficient alternatives to computationally intensive architectures such as Transformers for sequence modeling. However,...
arXiv:2511.07615v3 Announce Type: replace Abstract: In this article we propose a novel framework to derive piecewise polynomial measures which result from invariant measures on adjoint...
arXiv:2511.14448v4 Announce Type: replace Abstract: We consider the existence of the integrated density of states (IDS) of the magnetic Schr\"{o}dinger operator with a random potential...
arXiv:2511.15063v2 Announce Type: replace Abstract: We study Dehn twists in the outer automorphism group of a finitely generated non-abelian free group. Our main result states...
arXiv:2511.19625v2 Announce Type: replace Abstract: Sufficient conditions for a simple graph to be characterized up to isomorphism given its spectrum and the spectrum of its...
arXiv:2511.21950v2 Announce Type: replace Abstract: We study large $N$ limits of the hyperbolic $O(N)$ linear sigma model ($\text{HLSM}_N$) on the two-dimensional torus $\mathbb T^2$, namely,...
arXiv:2512.00711v2 Announce Type: replace Abstract: Semantic communication can significantly improve bandwidth utilization in wireless systems by exploiting the meaning behind raw data. However, the advancements...
arXiv:2512.04795v2 Announce Type: replace Abstract: Let $C_{s,t}$ be the complete bipartite geometric graph, with $s$ and $t$ vertices on two distinct parallel lines respectively, and...
arXiv:2512.05963v2 Announce Type: replace Abstract: We consider a class of (1+2)-dimensional linear partial differential of Asian options pricing. Special cases have been used to models...
arXiv:2512.12831v2 Announce Type: replace Abstract: A generalized Nash equilibrium problem (GNEP) in Banach space consists of $N>1$ optimal control problems with couplings in both the...
arXiv:2512.18121v2 Announce Type: replace Abstract: In this paper, we present a method based on contour integration to investigate a class of cyclotomic parametric Ap\'ery-like series....
arXiv:2601.09646v2 Announce Type: replace Abstract: This paper analyzes and explicitly solves a class of long-term average impulse control problems and a related class of singular...