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arXiv:2603.02920v1 Announce Type: new Abstract: We prove a parabolic analogue of Wolff's inequality adapted to the intrinsic scaling $\delta_c(x,t)=(cx,c^2t)$ and formulated in terms of time-backward...
arXiv:2603.02921v1 Announce Type: new Abstract: This paper studies a one-dimensional Mean-Field Planning (MFP) system with a non-local, rank-based coupling. Using a potential formulation, we rewrite...
arXiv:2603.02922v1 Announce Type: new Abstract: The existence of invariant transversals for a normal subgroup $H$ in a group $G$ is investigated. This yields counterexamples to...
arXiv:2603.02947v1 Announce Type: new Abstract: Given a digraph $D$, we denote by $\vec{\alpha}(D)$ the maximum size of an acyclic set of $D$ (i.e. a set...
arXiv:2603.02953v1 Announce Type: new Abstract: We study morphisms between commutative $BV_\infty$ algebras and show that, under suitable additional assumptions, a quasi-isomorphism of commutative $BV_\infty$ algebras...
arXiv:2603.02956v1 Announce Type: new Abstract: An antimagic labelling of a graph $G = (V,E)$ is a bijection from $E$ to $\{1,2, \ldots, |E|\}$, such that...
arXiv:2603.02965v1 Announce Type: new Abstract: Let $S$ be an Enriques surface. In this paper we study the semistability of the restriction $\Omega_{S}|_C$ for a general...
arXiv:2603.02977v1 Announce Type: new Abstract: We investigate the weak Banach--Saks property in the setting of H\"older spaces over metric spaces. We show that, for every...
arXiv:2603.02982v1 Announce Type: new Abstract: This paper is devoted to investigating the random dynamics of stochastic discrete long-wave-short-wave resonance equations, which are characterized by the...
arXiv:2603.02988v1 Announce Type: new Abstract: The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame...
arXiv:2603.02991v1 Announce Type: new Abstract: We study the three-dimensional Boussinesq system in bounded rough domains, including bounded Lipschitz and $\mathrm{C}^{1,\alpha}$ domains, within a critical functional...
arXiv:2603.02998v1 Announce Type: new Abstract: Resource allocation is a key factor in multiuser (MU) multiple-input multiple-output (MIMO) wireless systems to provide high quality of service...
arXiv:2603.03009v1 Announce Type: new Abstract: Consider an SI process on a graph $G$ where each S--I connection becomes I--I at rate $\lambda$. Here S and...
arXiv:2603.03012v1 Announce Type: new Abstract: These are expanded notes of a seminar held in Columbia university during the Spring and Fall of 2024 about the...
arXiv:2603.03017v1 Announce Type: new Abstract: In this work, we address the need for efficient and formally stable Recurrent Neural Networks (RNNs) in environments with limited...
arXiv:2603.03019v1 Announce Type: new Abstract: The hypercube queueing model was initially developed to address spatial queueing problems and has found wide applications in emergency services,...
arXiv:2603.03020v1 Announce Type: new Abstract: A Generalized Inoue--Bombieri (GIB) manifold $M$ is a compact quotient of a connected Riemannian product $\mathbb{R}^q \times (N,g _N)$ by...
arXiv:2603.03025v1 Announce Type: new Abstract: In 1987, Alavi, Malde, Schwenk and Erd\H{o}s conjectured that the independence polynomials of trees are unimodal. Subsequently, many researchers proposed...
arXiv:2603.03027v1 Announce Type: new Abstract: Let $F$ be a non-archimedean local field such that $4|q-1$, with $q$ the order of the residue field of $F$,...
arXiv:2603.03029v1 Announce Type: new Abstract: We give a general lower bound on the frequency of sign changes in the real coefficients of L-functions of the...
arXiv:2603.03032v1 Announce Type: new Abstract: In this work we analyse the convergence of solutions of the Poisson equation with Neumann boundary conditions in a thin...
arXiv:2603.03037v1 Announce Type: new Abstract: We use topological data analysis to study neural population activity in the Sensorium 2023 dataset, which records responses from thousands...
arXiv:2603.03041v1 Announce Type: new Abstract: We compute the coregularity of del Pezzo surfaces with du Val singularities. To this aim, we study the relation between...
arXiv:2603.03050v1 Announce Type: new Abstract: We study the distributional and asymptotic properties of the supremum of Brownian motion with drift and exponential resetting. We obtain...