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arXiv:2406.03860v2 Announce Type: replace Abstract: We introduce a new definition of a model for a formal mathematical system. The definition is based upon the substitution...
arXiv:2406.12191v3 Announce Type: replace Abstract: We study the virtual Euler characteristics of sheaves over Quot schemes of curves, establishing that these invariants fit into a...
arXiv:2406.15233v2 Announce Type: replace Abstract: We consider the problem of recovering the community structure in the stochastic block model. We aim to describe the mutual...
arXiv:2406.18500v5 Announce Type: replace Abstract: In this paper, we study linear backward parabolic SPDEs in bounded domains and present new a priori estimates for their...
arXiv:2407.04555v3 Announce Type: replace Abstract: In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case $A...
arXiv:2407.15256v4 Announce Type: replace Abstract: We propose a weak-instrument-robust subvector Lagrange multiplier test for instrumental variables regression. We show that it is asymptotically size-correct under...
arXiv:2407.21014v3 Announce Type: replace Abstract: At high temperature, the overlap of two particles chosen independently according to the Gibbs measure of the branching Brownian motion...
arXiv:2408.13769v2 Announce Type: replace Abstract: In this article, we try to formulate a definition of ''many-valued logical structure''. For this, we embark on a deeper...
arXiv:2409.01860v2 Announce Type: replace Abstract: We study the double-coset zeta functions for groups acting on trees, focusing mainly on weakly locally $\infty$-transitive or (P)-closed actions....
arXiv:2409.02902v2 Announce Type: replace Abstract: We prove that under the Brownian evolution on large non-Hermitian matrices the log-determinant converges in distribution to a 2+1 dimensional...
arXiv:2409.08448v2 Announce Type: replace Abstract: We determine projective equations of smooth complex cubic fourfolds with symplectic automorphisms by classifying 6-dimensional projective representations of Laza and...
arXiv:2409.11603v2 Announce Type: replace Abstract: We construct a new surgery type operation by switching between two exact fillings of Legendrians which we call a BSP...
arXiv:2410.04896v4 Announce Type: replace Abstract: In this paper, we extend two classes of functions involved in asymptotic stability analyses. The goal of this extension is...
arXiv:2410.05521v2 Announce Type: replace Abstract: We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and...
arXiv:2410.10718v3 Announce Type: replace Abstract: We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal....
arXiv:2410.23520v2 Announce Type: replace Abstract: We enumerate complex rank $n$ topological vector bundles on $\mathbb CP^{n+1}$ with prescribed Chern classes. This extends work of Atiyah...
arXiv:2411.04743v2 Announce Type: replace Abstract: We study algebraic K-theory and topological Hochschild homology in the setting of bimodules over a stable category, a datum we...
arXiv:2411.07157v3 Announce Type: replace Abstract: We show how the flow approach of Duch, with elementary differentials as coordinates, can be used to prove well-posedness for...
arXiv:2411.18244v2 Announce Type: replace Abstract: Consider a group $\mathbb{G}$ and construct its power graph, whose vertex set consists of the elements of $\mathbb{G}$. Two distinct...
arXiv:2412.04581v2 Announce Type: replace Abstract: We study a one-dimensional nonlinear Vlasov equation with a local self-consistent force field generated by the density, where the force...
arXiv:2501.05737v3 Announce Type: replace Abstract: Distributed optimization problems usually face inexact communication issues induced by channel noise, communication quantization or differential privacy protection. Most existing...
arXiv:2501.16479v5 Announce Type: replace Abstract: Hydrodynamics describes the evolution of macroscopic states in non--equilibrium thermodynamics. Following Onsager reciprocal relations, one can formulate a large class...
arXiv:2501.18323v3 Announce Type: replace Abstract: We study the approximation of eigenvalues for the Laplace-Beltrami operator on closed Riemannian manifolds in the class $\mathcal{M}$, characterized by...
arXiv:2502.02765v2 Announce Type: replace Abstract: In this survey, we collect recent progress in the understanding of $L^{p}$ bounds for bilinear spherical averages and some associated...