Transfer operators and atomic decomposition

Autor:	Arbieto, Alexander, Smania, Daniel
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis 37C30 37D20 37C40 30H25 37D35 37A05 37A25 37A30 37A50 37E05 47A35 47B65 60F05 60F17 42B35 42B35 42C15
Druh dokumentu:	Working Paper
Popis:	We use the method of atomic decomposition and a new family of Banach spaces to study the action of transfer operators associated to piecewise-defined maps. It turns out that these transfer operators are quasi-compact even when the associated potential, the dynamics and the underlying phase space have very low regularity. In particular it is often possible to obtain exponential decay of correlations, the Central Limit Theorem and almost sure invariance principle for fairly general observables, including unbounded ones. Comment: 46 pages, 2 figures. We fixed a few typos, updated the bibliography and we also included complete proofs of Theorem 15.1, Corollary 15.1 and 15.2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.06943 Zobrazit plný text záznamu View this record from Arxiv