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arXiv:2412.00937v3 Announce Type: replace Abstract: We analyze Sz\"oll\H{o}si's recent construction of a conjecturally optimal five-dimensional kissing configuration and produce a new such configuration, the fourth...
arXiv:2412.08469v2 Announce Type: replace Abstract: Semi-topological Galois theory associates a canonical finite splitting covering to a monic Weierstrass polynomial. The inverse limit of the corresponding...
arXiv:2412.12023v2 Announce Type: replace Abstract: We extend the classical coding of measured $\mathbb R$-trees by continuous excursion-type functions to c\`adl\`ag excursion-type functions through the notion...
arXiv:2412.13624v2 Announce Type: replace Abstract: We study the rationality of some geometrically rational three-dimensional conic and quadric surface bundles, defined over the reals and more...
arXiv:2412.13956v2 Announce Type: replace Abstract: We introduce a notion of stratification for rigidly-compactly generated tensor-triangulated categories relative to the homological spectrum and develop the fundamental...
arXiv:2501.01923v2 Announce Type: replace Abstract: We generalize Hopf's theorem to thermostats: the total thermostat curvature of a thermostat without conjugate points is non-positive and vanishes...
arXiv:2501.07461v3 Announce Type: replace Abstract: In this paper we propose a framework to analyze iterative first-order optimization algorithms for time-varying convex optimization. We assume that...
arXiv:2501.08651v2 Announce Type: replace Abstract: Sparse optimization seeks an optimal solution with few nonzero entries. To achieve this, it is common to add to the...
arXiv:2502.02930v4 Announce Type: replace Abstract: This is the first article of a series of our recent works, addressing an open question of Bonk-Heinonen-Koskela [5], to...
arXiv:2502.04000v3 Announce Type: replace Abstract: Let $T_1,\ldots, T_m$ be a family of $d\times d$ invertible real matrices with $\|T_i\|
arXiv:2502.09074v3 Announce Type: replace Abstract: We introduce the Morse parametric qualification condition for bilevel programming. Generic semi-algebraic functions are Morse parametric in a piecewise sense....
arXiv:2502.12281v3 Announce Type: replace Abstract: Double ramification loci parametrise marked curves where a weighted sum of the markings is linearly trivial; higher-rank loci are obtained...
arXiv:2502.18160v3 Announce Type: replace Abstract: In this paper, we give a geometric interpretation of virtual knotoids as arcs in thickened surfaces. Then we show that...
arXiv:2502.21273v3 Announce Type: replace Abstract: This paper explores the critical behavior of the semilinear heat equation $u_t+\mathcal{L}_{a, b}u=|u|^p+f(x)$, considering both the presence and absence of...
arXiv:2503.10344v2 Announce Type: replace Abstract: We investigate the use of low-precision first-order methods (FOMs) within a fix-and-propagate (FP) framework for solving mixed-integer programming problems (MIPs)....
arXiv:2503.12352v2 Announce Type: replace Abstract: For $N>1$, we constructed a canonical connected fundamental domain for $\Gamma_0(N)$ in [Nie, Parent], utilizing an interesting function $W: {\mathbb...
arXiv:2503.15440v3 Announce Type: replace Abstract: Let $\mathfrak b_n(\mathbb F_q)$ denote the Lie algebra of upper triangular $n \times n$ matrices over $\mathbb F_q$, and let...
arXiv:2503.18659v4 Announce Type: replace Abstract: This article is concerned with a new filtered two-step variational integrator for solving the charged-particle dynamics in a mildly non-uniform...
arXiv:2503.23754v2 Announce Type: replace Abstract: For $ 0 < r < 1 $, let $ \mathbb{A}_r = \{ z \in \mathbb{C} : r < |z|...
arXiv:2504.01663v3 Announce Type: replace Abstract: We study community recovery in the planted partition model in regimes where the number and sizes of communities may vary...
arXiv:2504.11656v2 Announce Type: replace Abstract: An $n$-vertex graph is degree 3-critical if it has $2n - 2$ edges and no proper induced subgraph with minimum...
arXiv:2504.12435v5 Announce Type: replace Abstract: Given an integer $n \ge 2$, its prime factorization is expressed as $n= \prod_{i=1}^s p_i^{a_i}$. We define the function $f(n)$...
arXiv:2505.00944v2 Announce Type: replace Abstract: Simplex slicing (Webb, 1996) is a sharp upper bound on the volume of central hyperplane sections of the regular simplex....
arXiv:2505.01297v2 Announce Type: replace Abstract: A novel framework is introduced to formalize identifiability in well-specified but ill-posed linear regression models. The framework is distribution-free and...