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arXiv:2602.12007v1 Announce Type: new Abstract: We give characterizations of the bounded subanalytic $\mathscr{C}^\infty$ submanifolds $M$ of $\mathbb{R}^n$ for which the space of Neumann regular functions...
arXiv:2602.12008v1 Announce Type: new Abstract: This paper is concerned with the numerical approximation of the $L^2$ Dirichlet eigenpairs of the operator $-\Delta + V$ on...
arXiv:2602.12027v1 Announce Type: new Abstract: When sampling multi-modal probability distributions, correctly estimating the relative probability of each mode, even when the modes have been discovered...
arXiv:2602.12033v1 Announce Type: new Abstract: We establish the local Lipschitz regularity of the local minimizers of non autonomous integral funtionals of the form \[ \int_\Omega...
arXiv:2602.12034v1 Announce Type: new Abstract: We revisit the Ligon--Schaaf regularization of the Kepler problem and identify the geometric origin of the rotation appearing in their...
arXiv:2602.12046v1 Announce Type: new Abstract: We investigate the local boundedness of solutions $u:\Omega_T\to\mathbb{R}$ to parabolic equations of the form \begin{equation*} \partial_tu-\mathrm{div}\,\mathcal{A}(x,t,Du)=0 \qquad\mbox{in }\Omega_T=\Omega\times(0,T) \end{equation*} that...
arXiv:2602.12067v1 Announce Type: new Abstract: We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves...
arXiv:2602.12073v1 Announce Type: new Abstract: We consider hypoelliptic symbols over a very regular Lie group and discuss monodromy for a spectral stratification using results of...
arXiv:2602.12076v1 Announce Type: new Abstract: The derived category of coherent systems is an interesting triangulated category associated with a smooth, projective curve $C$. These categories...
arXiv:2602.12091v1 Announce Type: new Abstract: We derive modular parametrizations for certain infinite series whose summands involve central binomial coefficients and second-order harmonic numbers. When the...
arXiv:2602.12103v1 Announce Type: new Abstract: In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one...
arXiv:2602.12114v1 Announce Type: new Abstract: We show that the iterative Faddeev-Jackiw (FJ) reduction for singular Lagrangian systems constitutes a geometrically constrained instance of the Matrix...
arXiv:2602.12121v1 Announce Type: new Abstract: We study low T-phase-rank approximation of sectorial third-order tensors $\mathscr{A}\in\mathbb{C}^{n\times n\times p}$ under the tensor T-product. We introduce canonical T-phases...
arXiv:2602.12122v1 Announce Type: new Abstract: The Schr\"odinger equation in high dimensions describes the evolution of a quantum system. Assume that we are given the evolution...
arXiv:2602.12130v1 Announce Type: new Abstract: We introduce the notion of minimal inversion sequences for a pattern $\rho$, which form the smallest set of inversion sequences...
arXiv:2602.12131v1 Announce Type: new Abstract: The primary aim of Hilbert's proof theory was to establish the consistency of classical mathematics using finitary means only. Hilbert's...
arXiv:2602.12149v1 Announce Type: new Abstract: In the context of the category $\mathsf{Cap}$ of convergence approach spaces and contractions, we introduce and study approach analogs of...
arXiv:2602.12163v1 Announce Type: new Abstract: In this paper, we establish a probabilistic global theory in $H^1$ for the NLS with a Moser-Trudinger nonlinearity posed on...
arXiv:2602.12166v1 Announce Type: new Abstract: For an orientable closed surface $(\Sigma,g)$ of genus $G$ with Anosov geodesic flow, we show the existence of an open...
arXiv:2602.12169v1 Announce Type: new Abstract: Let $G = (V, E)$ be a finite simple graph. In this paper, we characterize the degree of the $h$-polynomial...
arXiv:2602.12171v1 Announce Type: new Abstract: This manuscript is concerned with the one-dimensional system \[ \begin{array}{l} \tau u_{ttt} + \alpha u_{tt} = b \big(\gamma(\Theta) u_{xt}\big)_x +...
arXiv:2602.12182v1 Announce Type: new Abstract: We extend the recent analysis of the rate-reliability tradeoff in deterministic identification (DI) to general linear Gaussian channels, marking the...
arXiv:2602.12186v1 Announce Type: new Abstract: We develop an Aleksandrov reflection framework for a large class of expanding curvature flows in hyperbolic space, with inverse mean...
arXiv:2602.12188v1 Announce Type: new Abstract: The field of the mathematical sciences relies on a continuous academic pipeline in which individuals progress from undergraduate study through...