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arXiv:2601.05066v2 Announce Type: replace Abstract: Let $K$ be an algebraically closed field of characteristic $0$ and $G$ a finite abelian group. For a $G$-graded $K$-algebra...
arXiv:2601.10359v2 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:2601.10996v2 Announce Type: replace Abstract: The main purpose of this short note, on the one hand, to is rigorize some part of the proof of...
arXiv:2601.11217v2 Announce Type: replace Abstract: We study model-free policy learning for discrete-time mean-field control (MFC) problems with finite state space and compact action space. In...
arXiv:2601.11312v2 Announce Type: replace Abstract: Utilizing the framework of quaternionic contact geometry, we define a sequence of Riemannian metrics $\{g_L\}$ on the quaternionic Heisenberg group...
arXiv:2601.12185v2 Announce Type: replace Abstract: In this paper, we sharpen a theorem of Artin to show that for a finite group, the dimension of the...
arXiv:2601.12371v2 Announce Type: replace Abstract: We study extensions and second cohomology of skew left braces via the natural semi-direct products associated with the skew left...
arXiv:2601.13506v2 Announce Type: replace Abstract: Fluid antenna system (FAS) leverages dynamic reconfigurability to unlock spatial degrees of freedom and reshape wireless channels. Blind interference alignment...
arXiv:2601.15213v2 Announce Type: replace Abstract: Let $(\Sigma^2,ds^2)$ be a compact Riemannian surface, possibly with boundary, and consider Schr\"odinger-type operators of the form $L=\Delta+V-aK$ together with...
arXiv:2601.16616v2 Announce Type: replace Abstract: We consider individuals of two species distributed over m patches, each with a hosting capacity $d_i N$ , where $d_i...
arXiv:2601.17392v2 Announce Type: replace Abstract: We develop a self contained stochastic perturbation theory for discrete generation and multivariate Ensemble Kalman filters. Unlike their continuous-time counterparts,...
arXiv:2601.17452v2 Announce Type: replace Abstract: We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-,...
arXiv:2601.18055v2 Announce Type: replace Abstract: We study convergence of operator families of the form $A_\beta = A + \beta B$ towards an effective operator defined...
arXiv:2601.18057v2 Announce Type: replace Abstract: In this note, we study Laplacians on graphs for which connectivity within certain subgraphs tends to infinity. Our main focus...
arXiv:2601.18355v2 Announce Type: replace Abstract: In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet...
arXiv:2601.18599v2 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:2108.09074v3 Announce Type: replace-cross Abstract: In the framework of Algebraic Quantum Field Theory, several operator algebraic notions of entanglement entropy can be associated with any...
arXiv:2209.10166v5 Announce Type: replace-cross Abstract: In this paper, we derive an $L^p$-chaos expansion based on iterated Stratonovich integrals with respect to a given exponentially integrable...
arXiv:2305.01984v3 Announce Type: replace-cross Abstract: A first-order formula is called primitive positive (pp) if it only admits the use of existential quantifiers and conjunction. Pp-formulas...
arXiv:2404.19222v2 Announce Type: replace-cross Abstract: In 1996, Reed, Robertson, Seymour and Thomas [Combinatorica 1996] proved Younger's Conjecture, which states that, for all directed graphs $D$,...
arXiv:2405.15132v4 Announce Type: replace-cross Abstract: The Intrinsic Dimension (ID) is a key concept in unsupervised learning and feature selection, as it is a lower bound...
arXiv:2407.02700v4 Announce Type: replace-cross Abstract: This paper presents a novel approach for the output range estimation problem in Deep Neural Networks (DNNs) by integrating a...
arXiv:2407.03903v2 Announce Type: replace-cross Abstract: We prove a nonlinear characteristic $C^k$-gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces...
arXiv:2407.10070v3 Announce Type: replace-cross Abstract: Kernel ridge regression (KRR) is a fundamental computational tool, appearing in problems that range from computational chemistry to health analytics,...