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arXiv:2602.20414v1 Announce Type: new Abstract: We introduce Morita equivalence for Nijenhuis groupoids and for their infinitesimal counterparts, establishing a global-to-infinitesimal correspondence under the Lie functor....
arXiv:2602.20416v1 Announce Type: new Abstract: We consider a sequence of random vectors on \(\mathbb{R}^d, \ d\geq 1\). We consider the record values based on the...
arXiv:2602.20425v1 Announce Type: new Abstract: Sol LeWitt famously enumerated all the incomplete open cubes, finding 122 of these connected, non-planar subsets of the edges of...
arXiv:2602.20434v1 Announce Type: new Abstract: Consider the point process (in $\mathbb{R}^d$) of local maxima of smooth Gaussian fields, with sufficient decay of correlation at infinity,...
arXiv:2602.20441v1 Announce Type: new Abstract: The classical Seifert algorithm provides an explicit construction of a Seifert surface for any link in $S^3$. Alegria and Menasco...
arXiv:2602.20451v1 Announce Type: new Abstract: The genus-2 fibrations of type (4, 3) found by Baykur-Korkmaz, Hamada, and Xiao are supported on the same total space....
arXiv:2602.20455v1 Announce Type: new Abstract: Permutation decoding is a process that utilizes the permutation automorphism group of a linear code to correct errors in received...
arXiv:2602.20462v1 Announce Type: new Abstract: A sharp isoperimetric inequality for the Hamming cube is proved at the critical exponent $\beta=\frac12$. This follows up on previous...
arXiv:2602.20469v1 Announce Type: new Abstract: The numerical range of a non-normal matrix plays a central role as a descriptor of non-normal effects beyond spectral information....
arXiv:2602.20473v1 Announce Type: new Abstract: This work aims to study the initial-boundary value problem of the reaction-diffusion equation with state-dependent delay $\pa_{t}u-\Delta u=f(u)+g(u,u(t-\tau(t,u_t)))+h(t,x)$ in a...
arXiv:2602.20481v1 Announce Type: new Abstract: All isometries $\sigma$ in a quadratic space over a non-archimedean local field of characteristic not 2 satisfying that any isometry...
arXiv:2602.20482v1 Announce Type: new Abstract: We start studying the character variety of the algebraic supergroup OSp(1|2) from the algebraic perspective. We do this by first...
arXiv:2602.20488v1 Announce Type: new Abstract: Using Hultgren's polytope formulation of the existence of coupled K\"ahler-Einstein (cKE) metrics on toric Fano manifolds, we construct explicit higher-dimensional...
arXiv:2602.20504v1 Announce Type: new Abstract: The splitting graph $S(G)$ of a finite simple graph $G$ was introduced by Sampathkumar and Walikar in 1980~\cite{SW1980} and has...
arXiv:2602.20506v1 Announce Type: new Abstract: In this paper, we analyze the singular shape of the free boundary at degenerate points in a three dimensional axisymmetric...
arXiv:2602.20529v1 Announce Type: new Abstract: The joint optimization of the integer matrix $\mathbf{A}$ and the power scaling matrix $\mathbf{D}$ is central to achieving the capacity-approaching...
arXiv:2602.20533v1 Announce Type: new Abstract: We prove that if an n-dimensional geodesically complete CAT(0) space has Tits boundary sufficiently close to the (n-1)-dimensional standard unit...
arXiv:2602.20536v1 Announce Type: new Abstract: We introduce a $q$-deformation of the Pythagoras equation $a^2 + b^2 = c^2$, which is a polynomial version of it...
arXiv:2602.20545v1 Announce Type: new Abstract: In this paper, we establish Casorati inequalities for Riemannian maps and Riemannian submersions involving quaternionic space forms, and we provide...
arXiv:2602.20552v1 Announce Type: new Abstract: We study an optimal control problem on infinite time horizon with semimartingale strategies, random coefficients and regime switching. The value...
arXiv:2602.20554v1 Announce Type: new Abstract: We concern standing wave solutions with frequency $\lambda$ to a two dimensional Gross-Pitaevskii equation with a trap potential under the...
arXiv:2602.20588v1 Announce Type: new Abstract: For certain typical perturbations $(f_n)_n$ of a rational map $f$ with parabolic cycles, we investigate the relations between the Hausdorff...
arXiv:2602.20591v1 Announce Type: new Abstract: Let $\mathcal{A}$ be a separable nuclear C*-algebra, and $\mathcal{B}$ be a nonunital separable simple $\mathcal{Z}$-stable C*-algebra. Continuing the work from...
arXiv:2602.20599v1 Announce Type: new Abstract: In continuous aperture arrays (CAPAs), careful consideration of the underlying physics is essential, among which electromagnetic (EM) mutual coupling plays...