Functional correlation decay and multivariate normal approximation for non-uniformly expanding maps

Autor:	Leppänen, Juho
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems Mathematics - Probability
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6544/aa85d0
Popis:	In the setting of intermittent Pomeau-Manneville maps with time dependent parameters, we show a functional correlation bound widely useful for the analysis of the statistical properties of the model. We give two applications of this result, by showing that in a suitable range of parameters the bound implies the conditions of the normal approximation methods of Stein and Rio. For a single Pomeau-Manneville map belonging to this parameter range, both methods then yield a multivariate central limit theorem with a rate of convergence. Comment: 21 pages; v.3: minor corrections according to comments by referee/pre-examiner
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.00699 Zobrazit plný text záznamu View this record from Arxiv