Quantitative recurrence of some dynamical systems with an infinite measure in dimension one

Autor:	Yassine, Nasab
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We are interested in the asymptotic behaviour of the first return time of the orbits of a dynamical system into a small neighbourhood of their starting points. We study this quantity in the context of dynamical systems preserving an infinite measure. More precisely, we consider the case of $\mathbb{Z}$-extensions of subshifts of finite type. We also consider a toy probabilistic model to enlight the strategy of our proofs. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1609.05791 Zobrazit plný text záznamu View this record from Arxiv