Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices

Autor:	Gorokhovsky, Elia
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematics - Group Theory Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We study time-inhomogeneous random walks on finite groups in the case where each random walk step need not be supported on a generating set of the group. When the supports of the random walk steps satisfy a natural condition involving normal subgroups of quotients of the group, we show that the random walk converges to the uniform distribution on the group and give bounds for the convergence rate using spectral properties of the random walk steps. As an application, we prove a universality theorem for cokernels of random integer matrices allowing some dependence between entries. Comment: Fixed some typos that affected clarity, especially in Lemma 4.11
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.11435 Zobrazit plný text záznamu View this record from Arxiv