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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...
arXiv:2603.03055v1 Announce Type: new Abstract: We define the Hasse-Witt invariant of Calabi-Yau varieties in two different ways. The first method is through Cartier operator and...
arXiv:2603.03058v1 Announce Type: new Abstract: We establish universal approximation theorems for infinite-dimensional geometric rough paths, i.e., we show that continuous functions on the space of...
arXiv:2603.03061v1 Announce Type: new Abstract: We prove a local Brunn-Minkowski inequality for a functional corresponding to p-harmonic measures for 2 < p < n+1.
arXiv:2603.03070v1 Announce Type: new Abstract: In this paper, continuing our previous work, we investigate the third gap problem in the Simon conjecture for closed minimal...
arXiv:2603.03076v1 Announce Type: new Abstract: Let $T(G)$ be the size of the largest induced tree of $G$, and $G_{n,p}$ be the binomial random graph. Kamaldinov,...
arXiv:2603.03086v1 Announce Type: new Abstract: A graph $G$ is $(a,b)$-sparse if every nonempty subgraph $H$ satisfies $e(H) \leq a v(H) - b$. We are interested...
arXiv:2603.03087v1 Announce Type: new Abstract: We introduce the \emph{antisymmetric line graph} $\mathcal{A}(G)$, a canonical signed refinement of the line graph defined on the oriented edges...
arXiv:2603.03093v1 Announce Type: new Abstract: Given a function $b$, holomorphic on the disc and bounded by 1, one can construct an associated reproducing kernel Hilbert...
arXiv:2603.03100v1 Announce Type: new Abstract: We show that area minimising hypersurfaces mod $p$ do not admit immersed branch points, namely branch points about which all...
arXiv:2603.03104v1 Announce Type: new Abstract: For positive integers $a$, $b$, and $c$ which have no common divisor, the Frobenius number of $a$, $b$ and $c$...
arXiv:2603.03107v1 Announce Type: new Abstract: Robust principal component analysis is an important representative method in data analysis. It is usually viewed as an optimization problem...
arXiv:2603.03110v1 Announce Type: new Abstract: Assume that $n \geq 2$ and $B = (b_1,...,b_n)$ has distince integer entries $\geq 3.$ For $x > 0$ let...
arXiv:2603.03114v1 Announce Type: new Abstract: We adapt two results of Simon and collaborators to the setting of discrete-time unitary dynamics. We show that pure point...
arXiv:2603.03115v1 Announce Type: new Abstract: We prove partition regularity of the configuration $x,y,x+y,y/x$ in a strong infinitary form that extends Hindman's Theorem. We study the...
arXiv:2603.03122v1 Announce Type: new Abstract: We consider the problem of characterizing derived endomorphism algebras of simple objects in length categories up to quasi-isomorphism. We give...
arXiv:2603.03132v1 Announce Type: new Abstract: We consider $(1,1)$-surfaces, namely, minimal compact complex surfaces $S$ with $p_g (S) =K_S^2=1$: for these the bicanonical map is a...
arXiv:2603.03139v1 Announce Type: new Abstract: Our main result is a robust generalisation of the Cockayne-Lorimer theorem on the multicolour Ramsey number of matchings. It is...
arXiv:2603.03145v1 Announce Type: new Abstract: This paper studies how the mean of the initial data $u_0$ affects the critical indices concerning local well-posedness for the...
arXiv:2603.03146v1 Announce Type: new Abstract: \emph{Integrated communication and computation} (IC$^2$) has emerged as a new paradigm for enabling efficient edge inference in sixth-generation (6G) networks....
arXiv:2603.03150v1 Announce Type: new Abstract: The Primal-Dual Hybrid Gradient (PDHG) algorithm is a first-order method that can exploit GPUs to solve large-scale linear programming problems....
arXiv:2603.03151v1 Announce Type: new Abstract: We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of...
arXiv:2603.03153v1 Announce Type: new Abstract: In this paper we show that steady states $u$ of the pressureless Euler equation which belong to $L^3_{loc}(\mathbb{R}^2,\mathbb{R}^2)$ are shear...
arXiv:2603.03156v1 Announce Type: new Abstract: This is a survey article on the twisted dynamical zeta functions of Ruelle and Selberg and the Fried's conjecture. It...