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arXiv:2601.10438v2 Announce Type: replace Abstract: We determine an infinite family of linear identities for the number $A_4(n)$ of partition pairs of $n$ with $4$-cores by...
arXiv:2601.10760v2 Announce Type: replace Abstract: We construct explicit examples of really perverse central configurations in the spatial Newtonian $N$-body problem. A central configuration is called...
arXiv:2601.14182v2 Announce Type: replace Abstract: We prove quantum ergodicity and quantum mixing for sequences of finite Schreier graphs converging to an infinite Cayley graph whose...
arXiv:2601.17685v2 Announce Type: replace Abstract: Recently, some window functions have been introduced into the nonuniform fast Fourier transform and the regularized Shannon sampling. Inspired by...
arXiv:2601.19748v2 Announce Type: replace Abstract: We consider the 2-limited packing problem: for a graph $G=(V,E)$ one seeks to find a maximum cardinality subset $B\subseteq V$,...
arXiv:2601.20152v2 Announce Type: replace Abstract: We study concentration inequalities for structured weighted sums of random data, including (i) tensor inner products and (ii) sequential matrix...
arXiv:2601.21079v2 Announce Type: replace Abstract: In this work we describe a new model for the evolution of a diploid structured population backwards in time that...
arXiv:2601.22941v2 Announce Type: replace Abstract: We provide a new construction of a topological group model for the string group of a compact, simple, and simply-connected...
arXiv:2601.23118v2 Announce Type: replace Abstract: The paper considers a global version of the notion of log canonical threshold for plurisubharmonic functions $u$ of logarithmic growth...
arXiv:2601.23244v2 Announce Type: replace Abstract: The numerical computation of shortest paths or geodesics on surfaces, along with the associated geodesic distance, has a wide range...
arXiv:2602.01159v2 Announce Type: replace Abstract: In this paper, extending the work of Gal'perin (Comm. Math. Phys. 154: 63-84, 1993), we investigate generalizations of the concepts...
arXiv:2602.01657v2 Announce Type: replace Abstract: In this work, we propose a decoding method of Golay codes from the perspective of Polarization Adjusted Convolutional (PAC) codes....
arXiv:2602.03832v2 Announce Type: replace Abstract: We prove a conjecture of Peter Neumann from 1966, predicting that every finite non-regular primitive permutation group of degree $n$...
arXiv:2602.04499v2 Announce Type: replace Abstract: We study the nef cones and fundamental domains of Hilbert schemes of points on the Cayley K3 surface $S$ and...
arXiv:2602.05511v3 Announce Type: replace Abstract: We represent the Euler alternating series (sometimes called the "Dirichlet eta function"), and generally $(b^s-b)\zeta(s)/b^s$ for $b>1$ an integer, in...
arXiv:2602.05589v2 Announce Type: replace Abstract: In this paper, a new class of \emph{Taylor-accelerated neural network interpolation operators} is introduced on quasi-uniform irregular grids. These operators...
arXiv:2602.06581v2 Announce Type: replace Abstract: In this paper, we introduce, for the first time, the fractional--logarithmic Laplacian \( (-\Delta)^{s+\log} \), defined as the derivative of...
arXiv:2602.07575v2 Announce Type: replace Abstract: We give explicit matrix presentations of the Blanchfield pairing and certain twisted Blanchfield pairings of the $(m,n)$-torus knot $T(m,n)$. Our...
arXiv:2602.07870v2 Announce Type: replace Abstract: Movable antenna (MA) has emerged as a promising technology for future wireless systems. Compared with traditional fixed-position antennas, MA improves...
arXiv:2602.07999v2 Announce Type: replace Abstract: In this paper, we propose a novel class of change of measure inequalities via a unified framework based on the...
arXiv:2602.08107v2 Announce Type: replace Abstract: We study the nonlocal Kuramoto-Sivashinsky equation on the one-dimensional torus, \[ u_t+u u_x=\Lambda^{r}u-\varepsilon \Lambda^{s}u,\qquad x\in\mathbb T, \] where $\varepsilon>0$, $s>1$,...
arXiv:2602.08568v2 Announce Type: replace Abstract: The classical Stein--Tomas theorem extends the theory of linear Fourier restriction estimates from smooth manifolds to fractal measures exhibiting Fourier...
arXiv:2602.08664v2 Announce Type: replace Abstract: This document is a slightly expanded version of a series of talks given by J. Giansiracusa at the workshop `Geometry...
arXiv:2602.08673v2 Announce Type: replace Abstract: Branch-price-and-cut is the state-of-the-art exact method for solving many types of vehicle routing problems, and is particularly effective for vehicle...