Stay updated with the latest research and technology news
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...
arXiv:2602.12190v1 Announce Type: new Abstract: We analyze increasing propagation of chaos in the high temperature regime of a disordered mean-field model, the Hopfield model. We...
arXiv:2602.12191v1 Announce Type: new Abstract: The higher connectivity at infinity for mapping class groups of surfaces with boundary components and punctures is understood with the...
arXiv:2602.12208v1 Announce Type: new Abstract: Let $p$ be a prime number, $F$ a field of characteristic $p$, and $G$ a cyclic group of order $q...
arXiv:2602.12211v1 Announce Type: new Abstract: The canonical projections of the unit spheres are generalized to special generic maps and round fold maps, for example. They...
arXiv:2602.12213v1 Announce Type: new Abstract: We use explicit class field theory of rational function fields to prove a dynamical criterion for a polynomial of the...
arXiv:2602.12214v1 Announce Type: new Abstract: We introduce and study a novel generalization of the classical Knapsack Problem (KP), called the Colored Knapsack Problem (CKP). In...
arXiv:2602.12217v1 Announce Type: new Abstract: Let $f(z)=\sum_{n\ge0}a_n z^n$ be a transcendental entire function and write $M(r,f):=\max_{|z|=r}|f(z)|$ and $\mu(r,f):=\max_{n\ge0}|a_n|\,r^n$. A problem of Erd\H{o}s asks for the...
arXiv:2602.12219v1 Announce Type: new Abstract: In this paper, we prove an analogue of the Erd\H{o}s-Ko-Rado theorem intersecting families of subspaces in projective Hjelmslev geometries over...
arXiv:2602.12220v1 Announce Type: new Abstract: Finite-length analysis is critical for bringing coded caching closer to practical deployment. In this work, we study the design of...
arXiv:2602.12226v1 Announce Type: new Abstract: We introduce a new numerical invariant for special, reduced, alternating diagrams of oriented knots and links, defined in terms of...
arXiv:2602.12230v1 Announce Type: new Abstract: For a closed negatively curved surface $(X,g)$ the flat trace of the geodesic Koopman operators $V_g^\tau f=f\circ G_g^\tau$ is the...