Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation

Autor:	Aggarwal, Gaurav, Ghosh, Anish
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems Mathematics - Number Theory Mathematics - Probability 37A17 11K60
Druh dokumentu:	Working Paper
Popis:	We study non-expanding random walks on the space of affine lattices and establish a new classification theorem for stationary measures. Further, we prove a theorem that relates the genericity with respect to these random walks to Birkhoff genericity. Finally, we apply these theorems to obtain several results in inhomogeneous Diophantine approximation, especially on fractals. Comment: 33 Pages, Comments Welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.15824 Zobrazit plný text záznamu View this record from Arxiv