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arXiv:2511.16420v3 Announce Type: replace Abstract: The rapid growth of data centers increasingly requires data center operators to "bring own generation" to complement the available utility...
arXiv:2511.22358v4 Announce Type: replace Abstract: Chung and Graham [J. London Math. Soc. 1983] claimed to prove that there exists an $n$-vertex graph $G$ with $...
arXiv:2511.22600v2 Announce Type: replace Abstract: We prove semicontinuity properties for local positivity invariants of big and nef divisors. The usual definition of Seshadri constant and...
arXiv:2512.02537v2 Announce Type: replace Abstract: This work focuses on the development of efficient solvers for the pseudo-stress formulation of the unsteady Stokes problem, discretised by...
arXiv:2512.16825v2 Announce Type: replace Abstract: In this paper we study Leavitt path algebras over quivers with relations such as quantum Yang-Baxter equation, Hecke condition, and...
arXiv:2512.17458v2 Announce Type: replace Abstract: We use the Jucys-Murphy elements of the BMW algebra to show that its center over the complex numbers for almost...
arXiv:2512.19893v3 Announce Type: replace Abstract: We show that, on a standard non-atomic probability space, invertible measure-preserving transformations form a dense $G_\delta$ subset of the space...
arXiv:2601.02642v3 Announce Type: replace Abstract: We introduce a notion of quasiconvexity for continuous functions $f$ defined on the vector bundle of linear maps between the...
arXiv:2601.03107v2 Announce Type: replace Abstract: We study the homogeneous Landau equation with Maxwell molecules and prove that the entropy production is non-increasing provided the directional...
arXiv:2601.03548v2 Announce Type: replace Abstract: Let $\mathbb{F}_{q}$ be a finite field of characteristic $p$, and let $f \in \mathbb{F}_{q}[x]$ be a polynomial of degree $d...
arXiv:2601.07057v2 Announce Type: replace Abstract: This article addresses two central problems in the theory of quandle rings. First, motivated by Conjecture 3.10 in Internat. J....
arXiv:2601.07112v2 Announce Type: replace Abstract: Anabelian geometry suggests that, for suitably geometric objects, their \'etale fundamental groups determine the geometric objects up to isomorphism. From...
arXiv:2601.07265v2 Announce Type: replace Abstract: We introduce an integrable stochastic process associated with the $D_2$ quantum group, which can be decomposed into two symmetric simple...
arXiv:2601.09325v2 Announce Type: replace Abstract: The Emergent Order Spectrum $\Omega(x,y)$ is a topological invariant of dynamical systems providing order-types induced by the limit order of...
arXiv:2601.09392v3 Announce Type: replace Abstract: This paper is motivated by a recent paper of Yuki Fujii and Toyohiro Tsurumaru in which they established a beautiful...
arXiv:2601.10028v2 Announce Type: replace Abstract: Coded polynomial aggregation (CPA) enables the master to directly recover a weighted aggregation of polynomial evaluations without individually decoding each...
arXiv:2601.12453v3 Announce Type: replace Abstract: This work extends Favard-type spectral representations for banded matrices $T$ beyond the bounded setting. It assumes that, for every $N\in\mathbb...
arXiv:2601.15138v2 Announce Type: replace Abstract: In this paper we present, for any integers $0\leq \nu \leq n$, a set of inequalities satisfied by the Chern...
arXiv:2601.17490v2 Announce Type: replace Abstract: We introduce a framework for constructing fractal trees via analytic generator fields, replacing discrete affine transformations and symbolic rewriting rules...
arXiv:2601.17748v3 Announce Type: replace Abstract: In this paper, we employ the ABP method developed by Brendle to establish the optimal $L^p$ logarithmic Sobolev inequality on...
arXiv:2601.19274v2 Announce Type: replace Abstract: We study variable elliptic structures in the plane defined by a smoothly varying quadratic relation i^2 + beta(x,y) i +...
arXiv:2601.19283v2 Announce Type: replace Abstract: We prove the existence of secondary terms of order $X^{5/6}$ in the asymptotic formulas for the average size of the...
arXiv:2601.19418v2 Announce Type: replace Abstract: Consider the following story: A teacher announces to her students a test for the following week, such that the test...
arXiv:2601.21442v2 Announce Type: replace Abstract: Answering a question of Erd\H{o}s and Graham, we show that the double exponential growth condition $\limsup_{n\to\infty}a_n^{1/\phi^n}=\infty$ for a strictly increasing...