Autor:	Jurga, Natalia, Todd, Mike
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems 37A25 37E05 37C30 37D25 37D35
Druh dokumentu:	Working Paper
Popis:	Given a one-dimensional dynamical system we study its cover time, which quantifies the rate at which orbits become dense in the state space. Using transfer operator tools for dynamical systems with holes and inducing techniques, for a wide class of uniformly hyperbolic and non-uniformly hyperbolic systems we obtain an asymptotic formula for the expected cover time in terms of the decay rate of the measure of the ball of minimum measure. Applications include the Gauss map and Manneville-Pomeau maps. Comment: Minor updates, accepted by Isr J Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.05008 Zobrazit plný text záznamu View this record from Arxiv