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arXiv:2511.00873v3 Announce Type: replace Abstract: We give uniform proofs of tightness and exponential tightness of the sequences of stationary queue lengths in generalised Jackson networks...
arXiv:2511.02733v2 Announce Type: replace Abstract: In this article we study the Ekedahl-Oort types of $\mathbb{Z}/2\mathbb{Z}$-Galois covers $\pi:Y \to X$ in characteristic two. When the base...
arXiv:2511.04624v3 Announce Type: replace Abstract: The $D$-graded Proj construction provides a general framework for constructing schemes from rings graded by finitely generated abelian groups $D$,...
arXiv:2511.06314v2 Announce Type: replace Abstract: We study the asymptotic behavior of extremal length along Teichm\"uller rays. Specifically, we determine the limit of extremal length along...
arXiv:2511.17015v2 Announce Type: replace Abstract: We consider a Cox--Ingersoll--Ross (CIR) type short rate model driven by a mixed fractional Brownian motion. Let $M=B+B^H$ be a...
arXiv:2511.20269v3 Announce Type: replace Abstract: In this paper, we introduce the 0-smoothing invariant $\mathcal{F}$ of virtual knotoids constructed from local modification at classical crossings, which...
arXiv:2511.21148v2 Announce Type: replace Abstract: We use the measurable Hall's theorem due to Cie\'sla and Sabok to prove that (i) if two measurable sets $A,B...
arXiv:2511.22373v2 Announce Type: replace Abstract: Let $\varphi$ be a plurisubharmonic function defined in a neighborhood of the origin in $\mathbb C^n$. For each real number...
arXiv:2512.00071v2 Announce Type: replace Abstract: This paper develops a Mellin-Laplace analytic framework for the fixed-shift prime correlation r_h(n) = Lambda(n) Lambda(n+h) for h not equal...
arXiv:2512.03023v2 Announce Type: replace Abstract: We propose an abstract stochastic scheme for solving a broad range of monotone operator inclusion problems in Hilbert spaces. This...
arXiv:2512.04253v2 Announce Type: replace Abstract: Drinfeld's degenerate affine analog of Schur-Weyl duality relates representations of the degenerate affine Hecke algebra $AH_r$ to representations of the...
arXiv:2512.08651v3 Announce Type: replace Abstract: We study L-equivalence in the Grothendieck ring of varieties and its interaction with categorical invariants of cubic fourfolds. Assuming a...
arXiv:2512.12226v2 Announce Type: replace Abstract: Classical spectral graph theory and graph signal processing rely on a symmetry principle: undirected graphs induce symmetric (self-adjoint) adjacency/Laplacian operators,...
arXiv:2512.12251v2 Announce Type: replace Abstract: The mutual-visibility chromatic number of a graph $G$ is the smallest number of colors needed to color the vertices of...
arXiv:2512.16500v2 Announce Type: replace Abstract: Given pointed cellular spaces $X$ and $Y$, $X$ compact, and an integer $r\ge0$, we define a relation $\overset r\approx$ on...
arXiv:2512.19137v2 Announce Type: replace Abstract: We prove the global existence of weak solutions to quasilinear Keller--Segel systems with nonlinear mobility by minimizing movements (JKO scheme)...
arXiv:2512.22052v2 Announce Type: replace Abstract: In this series of papers, we investigate properties of a finite group which are determined by its low degree irreducible...
arXiv:2601.01004v3 Announce Type: replace Abstract: For univariate polynomials over arbitrary field the degree gives an upper bound on the number of roots (factor theorem) and...
arXiv:2601.03761v2 Announce Type: replace Abstract: Freed (arXiv:hep-th/9712042) formulated special K\"ahler structures; in particular, the regular locus of the $\mathrm{SL}_2(\mathbb{C})$ Hitchin base $\mathcal{B}$ carries such a...
arXiv:2601.03970v3 Announce Type: replace Abstract: The Schur multiple zeta function was defined as a multivariable function by Nakasuji-Phuksuwan-Yamasaki. Inspired by the product formula of Schur...
arXiv:2601.04836v2 Announce Type: replace Abstract: Ultametrics are an important class of distances used in applications such as phylogenetics, clustering and classification theory. Ultrametrics are essentially...
arXiv:2601.05195v3 Announce Type: replace Abstract: The basis number of a graph $G$ is the minimum $k$ such that the cycle space of $G$ is generated...
arXiv:2601.10231v2 Announce Type: replace Abstract: A proof will be presented that the existence of a non-trivial $\Sigma_1$-elementary embedding $j: V_{\lambda+3} \prec V_{\lambda+3}$ is inconsistent with...
arXiv:2601.10654v3 Announce Type: replace Abstract: We show that there exists a completely bounded (c.b. in short) homomorphism $u$ from a $C^*$-algebra $C$ with the lifting...