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arXiv:2302.07697v3 Announce Type: replace Abstract: Under a stronger genericity condition, we prove the local analogue of ghost conjecture of Bergdall and Pollack. As applications, we...
arXiv:2302.08763v3 Announce Type: replace Abstract: This work is a series of two articles. The main goal is to rigorously derive the degenerate parabolic-elliptic Keller-Segel system...
arXiv:2306.13022v2 Announce Type: replace Abstract: In his proof of the K(pi,1) conjecture for complex reflection arrangements, Bessis defined Garside categories suitable for studying braid groups...
arXiv:2306.14851v4 Announce Type: replace Abstract: Given a high-dimensional covariate matrix and a response vector, ridge-regularized sparse linear regression selects a subset of features that explains...
arXiv:2310.06620v2 Announce Type: replace Abstract: We consider a class of blow-up solutions for perturbed nonlinear heat equations involving gradient terms. We first prove the single...
arXiv:2311.03475v2 Announce Type: replace Abstract: Distributed ledgers, including blockchain and other decentralized databases, are designed to store information online where all trusted network members can...
arXiv:2311.15013v2 Announce Type: replace Abstract: In this paper, we consider the asymptotic properties of hook numbers of partitions in restricted classes. More specifically, we compare...
arXiv:2311.15397v4 Announce Type: replace Abstract: The first main result of this paper classifies contact 3-manifolds admitting critical metrics, i.e. adapted metrics which are the critical...
arXiv:2311.16020v2 Announce Type: replace Abstract: We calculate the Dehn twist action on the spaces of conformal blocks of a not necessarily semisimple modular category. In...
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.,...