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arXiv:2603.06965v1 Announce Type: new Abstract: We give a geometric realization of the whole universal enveloping algebra of the Borcherds-Bozec algebra using quiver with loops via...
arXiv:2603.06967v1 Announce Type: new Abstract: In this paper, we develop a refined analysis of hypergeometric functions to establish sharp quantitative integral inequalities for a general...
arXiv:2603.06975v1 Announce Type: new Abstract: In this paper, we study the equivalence between Bogomolov's instability theorem and the Miyaoka-Sakai theorem on surfaces in positive characteristic....
arXiv:2603.06994v1 Announce Type: new Abstract: Let $( \mathcal{A^{'}},\mathcal{A},\mathcal{A^{''}},i^\ast,i_\ast,i^!,j_!,j^\ast,j_\ast)$ be a recollement of abelian categories. Suppose that we are given two cotorsion pairs $({\mathcal{U^{'}}},\mathcal{V{'}})$ and...
arXiv:2603.06997v1 Announce Type: new Abstract: Let $\ell \geq 5$ be a prime, and let $\nu_\eta$ denote the Dedekind eta multiplier. For an odd integer $r$,...
arXiv:2603.07000v1 Announce Type: new Abstract: A directed phylogenetic network is tree-child if every non-leaf vertex has a child that is not a reticulation. As a...
arXiv:2603.07013v1 Announce Type: new Abstract: We consider a second-order nonlocal parabolic MEMS equation with Dirichlet boundary conditions: \[ u_t-\Delta u=\frac{\lambda}{(1-u)^2\bigl(1+\int_\Omega\frac{1}{1-u}\,dx\bigr)^2},\quad x\in\Omega,\ t>0, \] where \(\Omega\subset\mathbb{R}^N\)...
arXiv:2603.07021v1 Announce Type: new Abstract: In this paper, we construct local Morse homology in a new way and compute the local Morse homology of the...
arXiv:2603.07033v1 Announce Type: new Abstract: The paper surveys various Waring type problems in groups, Lie algebras, and associative algebras.
arXiv:2603.07034v1 Announce Type: new Abstract: This paper introduces the bicomplex Prabhakar derivative, extending fractional calculus to four-dimensional bicomplex spaces. Using the generalized kernel involving bicomplex...
arXiv:2603.07042v1 Announce Type: new Abstract: This paper investigates the asymptotic behaviors of global solutions to fourth-order parabolic and hyperbolic equations with Dirichlet boundary conditions. The...
arXiv:2603.07045v1 Announce Type: new Abstract: In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized...
arXiv:2603.07062v1 Announce Type: new Abstract: In this short note we prove a couple of facts about polynomial count varieties, answering natural questions that they raise....
arXiv:2603.07063v1 Announce Type: new Abstract: A result on $C^0$ linearization which is differentiable at the hyperbolic fixed point is known. In this paper, we further...
arXiv:2603.07075v1 Announce Type: new Abstract: For a generic discrete-time algorithm (DTA): $z^+=g(z,s)$, where $s$ is the step size, Lu (Math. Program., 194(1):1061--1112, 2022) proposed an...
arXiv:2603.07085v1 Announce Type: new Abstract: This study presents the trajectory design for a mission touring Saturn's Inner Large Moons (Rhea, Dione, Tethys, Enceladus, and Mimas)...
arXiv:2603.07088v1 Announce Type: new Abstract: We consider a problem posed by Erd\H{o}s, Herzog and Piranian on the maximum product of distances of a point set...
arXiv:2603.07104v1 Announce Type: new Abstract: We study a Dirichlet--Ferguson process $\zeta$ on a general phase space. First we reprove the chaos expansion from Peccati (2008),...
arXiv:2603.07105v1 Announce Type: new Abstract: We introduce some classical concepts in the representation theory of compact groups, in order to use them for a new...
arXiv:2603.07112v1 Announce Type: new Abstract: We prove that equivariantly simple invariant singularities can only exist for very few representations of a group of prime order:...
arXiv:2603.07117v1 Announce Type: new Abstract: Analog error-correcting codes (analog ECCs) introduced by Roth are designed to correct outlying errors arising in analog implementations of vector-matrix...
arXiv:2603.07118v1 Announce Type: new Abstract: We study a diffuse-interface model that describes the dynamics of two-phase incompressible flows driven by the thermo-induced Marangoni effect. The...
arXiv:2603.07127v1 Announce Type: new Abstract: Enhancing user fairness in advanced multi-user systems like two-layer rate-splitting multiple access (RSMA) is a critical yet challenging task. This...
arXiv:2603.07132v1 Announce Type: new Abstract: Let $\mathbf{x}$ be a random vector with $n$ i.i.d.\ real-valued components in the domain attraction of an $\alpha$-stable law with...