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arXiv:2602.11432v1 Announce Type: new Abstract: Let $\Gamma \subset PSL_2(\mathbb{R})$ be a non-arithmetic Fuchsian group of the first kind with finite covolume, and let $j_{\Gamma}$ be...
arXiv:2602.11449v1 Announce Type: new Abstract: We consider the approximation of $B^T (A+sI)^{-1} B$ where $A\in\mathbb{R}^{n\times n}$ is large, symmetric positive definite, and has a dense...
arXiv:2602.11458v1 Announce Type: new Abstract: The number of distinct symbols appearing in digit expansions generated by full-branch affine countable iterated function systems is studied whose...
arXiv:2602.11459v1 Announce Type: new Abstract: We compute the exact value of the Ramsey number $R(K_5, K_{5-e})$. It is equal to 30.
arXiv:2602.11462v1 Announce Type: new Abstract: Two longest-run statistics are studied: the longest run of a fixed value and the longest run over all values. Under...
arXiv:2602.11479v1 Announce Type: new Abstract: We explicitly describe the category of modules of the Temperley-Lieb algebra $\mathrm{TL}_n(\beta)$ under specialization $\beta=0$ for even $n$ in terms...
arXiv:2602.11484v1 Announce Type: new Abstract: This paper investigates how the structure of the underlying graph influences the behavior of stochastic partial differential equations (SPDEs) on...
arXiv:2602.11485v1 Announce Type: new Abstract: In this work, we study a matrix-valued Allen-Cahn equation with a Saint Venant-Kirchhoff potential $F(\mathbf{A})=\frac{1}{4}\|\mathbf{A}\mathbf{A}^\top-\mathbf{I}\|^2$. Our approach employs the modulated...
arXiv:2602.11490v1 Announce Type: new Abstract: We address the stochastic transmission expansion planning (STEP) problem considering uncertainties in renewable generation capacity and demand. STEP's objective is...
arXiv:2602.11493v1 Announce Type: new Abstract: The motivation of this paper is twofold. First, we investigate the block-diagonalization of the $z$-block circulant matrix $\mathtt{bcirc_z}(\mathcal A)$, based...
arXiv:2602.11502v1 Announce Type: new Abstract: Let $F$ be a graph with chromatic number $\chi(F) = r+1$. Denote by $ex(n, F)$ and $Ex(n, F)$ the Tur\'{a}n...
arXiv:2602.11515v1 Announce Type: new Abstract: We develop a new Hamiton-Jacobi (HJ) and differential game approach for exploring the Pareto front of (constrained) multi-objective optimization (MOO)...
arXiv:2602.11519v1 Announce Type: new Abstract: In this paper we present an analogue of the Milnor number for one dimensional local ring, and we show that...
arXiv:2602.11532v1 Announce Type: new Abstract: Let $V$ be an $n$-dimensional vector space over the finite field $\mathbb{F} _{q} $, and ${V\brack k}$ denote the family...
arXiv:2602.11538v1 Announce Type: new Abstract: In the unit cotangent bundle of $\mathbb{R}^3$, we consider loops of Legendrian tori arising as families of the unit conormal...
arXiv:2602.11542v1 Announce Type: new Abstract: The Atlantic Meridional Overturning Circulation (AMOC) is often analyzed using low-order box models to understand tipping points. Historically, these studies...
arXiv:2602.11555v1 Announce Type: new Abstract: We study finite-time flocking for an infinite set of Cucker-Smale particles with sublinear velocity coupling under fixed and switching sender...
arXiv:2602.11559v1 Announce Type: new Abstract: For a simple, simply-connected, simply-laced algebraic group $G$, we construct a monoidal categorification of the coordinate ring of twisted products...
arXiv:2602.11561v1 Announce Type: new Abstract: Electric vehicles (EVs) are expanding rapidly, driven by the proposal to comply with global emission reduction targets. However, EV adoption...
arXiv:2602.11566v1 Announce Type: new Abstract: A class of parametric functions formed by alternating compositions of multivariate polynomials and rectification style monomial maps is studied (the...
arXiv:2602.11568v1 Announce Type: new Abstract: The non-signaling (NS) assisted capacity of a classical channel with causal channel state information at the transmitter (CSIT) is shown...
arXiv:2602.11591v1 Announce Type: new Abstract: We introduce M\"obius strip diagram algebras (and their monoid and categorical versions) as subalgebras of a partition-style diagram calculus in...
arXiv:2602.11594v1 Announce Type: new Abstract: This work presents a unified framework that combines global approximations with locally built models to handle challenging nonconvex and nonsmooth...
arXiv:2602.11595v1 Announce Type: new Abstract: Starting with a pseudo-Anosov flow $\varphi$ on a closed hyperbolic $3$-manifold $M$ and an embedded surface $S \subset M$ that...