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arXiv:2601.19878v1 Announce Type: cross Abstract: We discuss interrelations between eigenfunctions of the Hamiltonians associated with the commutative (integer ray) subalgebras of the Ding-Iohara-Miki algebra and...
arXiv:1410.6543v2 Announce Type: replace Abstract: Based on previous work by the author we deduce that the invariant introduced by Bierstone and Milman in order to...
arXiv:1811.08187v4 Announce Type: replace Abstract: Danos and Regnier introduced generalized (non-binary) multiplicative connectives in Danos and Regnier [2]. They showed that there exist generalized multiplicative...
arXiv:1910.05120v3 Announce Type: replace Abstract: Sambin et al. (2000) introduced Basic Logic as a uniform framework for various logics. At the same time, they also...
arXiv:2008.09969v2 Announce Type: replace Abstract: This paper uses inspiration from Integral Geometry to connect Tame Geometry with Nonstandard Analysis. We omit binomial coefficients from the...
arXiv:2107.03041v3 Announce Type: replace Abstract: We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we...
arXiv:2112.14539v4 Announce Type: replace Abstract: Locally convex curves in the sphere $S^n$ have been studied for several reasons, including the study of linear ordinary differential...
arXiv:2212.14759v2 Announce Type: replace Abstract: An orientation-preserving branched covering map $f\colon S^2 \to S^2$ is called a critically fixed Thurston map if $f$ fixes each...
arXiv:2304.06442v4 Announce Type: replace Abstract: In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces....
arXiv:2304.14306v2 Announce Type: replace Abstract: It is well known that the Hamiltonian of an $n$-dimensional isotropic oscillator admits an $SU(n)$ symmetry, making the system maximally...
arXiv:2305.15857v2 Announce Type: replace Abstract: We introduce the spaces $A^p_{\alpha, \beta}(\Omega)$ of $L^p$-solutions to the Vekua equation (generalized monogenic functions) $D w=\alpha\overline{w}+\beta w$ in a...
arXiv:2308.00455v2 Announce Type: replace Abstract: The height $H(n)$ of $n$ is the least integer $i$ such that the $i$-th iterate of Euler's totient function $\varphi^{(i)}(n)$...
arXiv:2308.13036v2 Announce Type: replace Abstract: This paper is concerned with robust signal detection in Gaussian noise under quadratically convex orthosymmetric (QCO) constraints. Specifically, the null...
arXiv:2309.11367v2 Announce Type: replace Abstract: Consider the following Maker-Breaker game. Fix a finite subset $S\subset\mathbb{N}$ of the naturals. The players Maker and Breaker take turns...
arXiv:2309.13183v3 Announce Type: replace Abstract: Information Value (IV) is a widely used technique for feature selection prior to the modeling phase, particularly in credit scoring...
arXiv:2312.09666v4 Announce Type: replace Abstract: Markov categories have recently emerged as a powerful high-level framework for probability theory and theoretical statistics. Here we study a...
arXiv:2402.06207v3 Announce Type: replace Abstract: In this paper, we prove "prismatic Kunz's theorem" which states that a complete Noetherian local ring $R$ of residue characteristic...
arXiv:2404.01414v2 Announce Type: replace Abstract: We study obstructed deformation problems for two-dimensional residual Galois representations arising from weight~$2$ newforms of level~$N$. Using Poitou-Tate duality, we...
arXiv:2405.07688v4 Announce Type: replace Abstract: We identify a single computationally checkable analytic quantity interlacing Martin boundary collapse, Green geometry, and linear escape for transient random...
arXiv:2405.12189v2 Announce Type: replace Abstract: We show that if $(M,\omega)$ is any compact K\"ahler manifold, then the blowup of $M$ at any point furnishes a...
arXiv:2405.18273v2 Announce Type: replace Abstract: We consider the dynamics of $n$ points on a sphere in $\mathbb{R}^d$ ($d \geq 2$) which attract each other according...
arXiv:2406.10472v2 Announce Type: replace Abstract: We consider the chance-constrained program (CCP) with random right-hand side under a finite discrete distribution. It is known that the...
arXiv:2406.17137v3 Announce Type: replace Abstract: We develop a unified approach to the classical Hopf Decomposition (also known as the conservative--dissipative decomposition) for actions of locally...
arXiv:2406.17505v3 Announce Type: replace Abstract: We provide a unified method to study the adjacency matrices of regular graphs (including infinite ones) using holomorphic functional calculus....