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arXiv:2510.14334v2 Announce Type: replace Abstract: Although for the most part classical, the topic of electrostatics finds to this day new applications. In this review we...
arXiv:2510.15196v2 Announce Type: replace Abstract: We define and initiate the study of analytic de Rham stacks of relative Fargues-Fontaine curves. To this end, we develop...
arXiv:2510.21383v3 Announce Type: replace Abstract: We prove twisted homological stability for handlebody mapping class groups. Using the categorical framework developed by Randal-Williams and Wahl, we...
arXiv:2511.04197v2 Announce Type: replace Abstract: We present a strategy for interpreting nonlinear, characteristic-type penalty terms as numerical boundary flux functions that provide provable bounds for...
arXiv:2511.04931v2 Announce Type: replace Abstract: In this paper, we study and characterise the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3). We begin...
arXiv:2511.07718v2 Announce Type: replace Abstract: Consider the action of a subgroup $G$ of the permutation group on the polynomial ring $S := k[x_{1}, \ldots, x_{n}]$...
arXiv:2511.08111v2 Announce Type: replace Abstract: This paper develops a novel operator theoretic framework to study the contraction properties of Markov semigroups with respect to a...
arXiv:2511.16562v4 Announce Type: replace Abstract: We construct a sequence of complete moduli spaces $$E_0 \subset E_1 \subset E_2 \subset \dots E_n \subset\dots,$$ each of which...
arXiv:2511.22636v2 Announce Type: replace Abstract: By employing the recently obtained sharp stability versions of the Pr\'ekopa--Leindler inequality, we are able to obtain a sharp quantitative...
arXiv:2511.23139v2 Announce Type: replace Abstract: We generalise the notions of scalar-valued holomorphic $p$-contact and $s$-symplectic structures introduced recently on compact complex manifolds by the second-named...
arXiv:2511.23403v2 Announce Type: replace Abstract: We consider the stochastic heat equation with multiplicative white noise: $\partial_t u =\partial_x^2u + b(u) +\sigma(u) \dot W$, both on...
arXiv:2512.05743v2 Announce Type: replace Abstract: For an elliptic MEMS equation with H\'enon-type term, $\Delta u = \lambda |x|^{\alpha}/u^{p} + F$, we study rupture solutions, i.e....
arXiv:2512.08797v3 Announce Type: replace Abstract: Recently De les Coves, Drescher and Netzer showed that an analogue of the Birkhoff--von Neumann theorem fails in the quantum...
arXiv:2512.15165v2 Announce Type: replace Abstract: This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution...
arXiv:2512.20744v2 Announce Type: replace Abstract: Let $(X,\mathcal{F})$ be a foliated surface over the complex numbers. We study the variation of $\epsilon$-adjoint singularities, defined by the...
arXiv:2512.23316v2 Announce Type: replace Abstract: The entropic region is formed by the collection of the Shannon entropies of all subvectors of finitely many jointly distributed...
arXiv:2512.24817v2 Announce Type: replace Abstract: In this article, we study how to compute the number of $K$-rational points with a given $j$-invariant on an arbitrary...
arXiv:2601.01248v3 Announce Type: replace Abstract: In this work, we investigate a stochastic control framework for global optimization over both Euclidean spaces and the Wasserstein space...
arXiv:2601.01859v2 Announce Type: replace Abstract: The well-known Faber-Krahn theorem states that the ball has the lowest first Dirichlet eigenvalue among all domains of the same...
arXiv:2601.11648v2 Announce Type: replace Abstract: Reeb spaces of smooth functions are fundamental and strong tools in understanding manifolds via smooth functions with mild critical points....
arXiv:2601.11813v2 Announce Type: replace Abstract: We formulate a relative analogue of the Clemens conjectures for 1/2-log Calabi-Yau threefold pairs (X,Y) (where K_X+2Y is isomorphic to...
arXiv:2601.14626v3 Announce Type: replace Abstract: In this article, we extend the theorem of heart, which implies Quillen's d\'evissage theorem, to generic small stable $\infty$-categories. To...
arXiv:2601.15903v2 Announce Type: replace Abstract: The problem of blind identification of channel codes at a receiver involves identifying a code chosen by a transmitter from...
arXiv:2601.22067v2 Announce Type: replace Abstract: We show that the Coxeter polytopes that have finite volume in their Vinberg domains are exactly the quasiperfect Coxeter polytopes...