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arXiv:2312.14032v2 Announce Type: replace Abstract: In this work, we introduce a combinatorial-geometric model for the space of discrete Morse functions on any CW complex $X$....
arXiv:2403.07772v3 Announce Type: replace Abstract: In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in...
arXiv:2403.12882v2 Announce Type: replace Abstract: We show that the quantum invariants arising from typical representations of the quantum group $U_h\mathfrak{sl}(2|1)$ are q-holonomic. In particular, this...
arXiv:2403.19550v2 Announce Type: replace Abstract: We prove that the imaginary parts of scattering resonances for negatively curved asymptotically hyperbolic surfaces are uniformly bounded away from...
arXiv:2403.20200v4 Announce Type: replace Abstract: High-dimensional linear regression has been thoroughly studied in the context of independent and identically distributed data. We propose to investigate...
arXiv:2404.18762v2 Announce Type: replace Abstract: In this paper, we show that for a proper statistically convex-cocompact action on a proper geodesic metric space, the sublinearly...
arXiv:2405.17380v2 Announce Type: replace Abstract: Given a separable, AF-algebra A and an inductive limit action on A of a finitely generated abelian group with finite...
arXiv:2406.02526v3 Announce Type: replace Abstract: We describe the relation of $r$-similarity and finite-order invariants on the homotopy set $[S^1,Y]=\pi_1(Y)$.
arXiv:2407.05356v4 Announce Type: replace Abstract: This paper studies mean-field control problems with state-control joint law dependence and Poissonian common noise. We develop the stochastic maximum...
arXiv:2407.07620v5 Announce Type: replace Abstract: In this paper we give an elementary proof for Bertrand's postulate also known as Bertrand-Chebyshev theorem.
arXiv:2408.11730v2 Announce Type: replace Abstract: While previous researchers have performed an exhaustive search to determine an optimal Wordle strategy, that computation is very time consuming...
arXiv:2408.17266v2 Announce Type: replace Abstract: The sufficient conditions for solvability of a linear Diophantine equation $\sum_{i=1}^{n}a_ix_i=b$ (with $a_1,a_2,...,a_n\in \mathbb{N}$) in non-negative integers $x_1,x_2,...,x_n$ are given....
arXiv:2409.01849v2 Announce Type: replace Abstract: We provide a characterization of two expansive dilation matrices yielding equal discrete anisotropic Triebel-Lizorkin spaces. For two such matrices $A$...
arXiv:2409.01869v3 Announce Type: replace Abstract: For optimization models to be used in practice, it is crucial that users trust the results. A key factor in...
arXiv:2409.06418v3 Announce Type: replace Abstract: We prove a conjecture of Bonini et al. on the precise values of the Lin--Lu--Yau curvature of conference graphs, i.e.,...
arXiv:2409.08048v5 Announce Type: replace Abstract: We construct entire curves in projective spaces that exhibit frequent hypercyclicity under translations along countably many prescribed directions while maintaining...
arXiv:2409.19893v2 Announce Type: replace Abstract: We characterize real elliptic differential systems whose solutions can be expressed in terms of holomorphic solutions to an associated holomorphic...
arXiv:2411.04100v3 Announce Type: replace Abstract: We introduce novel estimators for computing the curvature, tangent spaces, and dimension of data from manifolds, using tools from diffusion...
arXiv:2411.07981v2 Announce Type: replace Abstract: We establish an upper bound on the minimum codegree necessary for the existence of spanning, fractional Steiner triple systems in...
arXiv:2411.11417v3 Announce Type: replace Abstract: Let $k$ be an uncountable algebraically closed field of positive characteristic and let $S$ be a smooth projective connected surface...
arXiv:2411.14084v3 Announce Type: replace Abstract: Numerical homogenization methods aim at providing appropriate coarse-scale approximations of solutions to (elliptic) partial differential equations that involve highly oscillatory...
arXiv:2412.14782v2 Announce Type: replace Abstract: Double circuits were introduced by Lov\'{a}sz in 1980 as a fundamental tool in his derivation of a min-max formula for...
arXiv:2412.15839v2 Announce Type: replace Abstract: We study solutions of the parametric set-theoretic reflection equation from an algebraic perspective by employing recently derived generalizations of the...
arXiv:2412.17033v3 Announce Type: replace Abstract: In this second part we study first the group $Aut_{\mathbb Q}(S)$ of numerically trivial automorphisms of an algebraic properly elliptic...