Iterates of expanding maps
type: Item
instance of: scholarly article
title: Iterates of expanding maps
zbMATH Open document ID: 0976.37019
DOI: 10.1007/PL00008725
author: R. M. Gerrard
author: A. D. Barbour
author: Gesine Reinert
publication date: 2002-01-06T00:00:00Z
review text: Let \(h:I=[0,1]\to I\) be a piecewise monotone, \(C^1\) and uniformly expanding map. The authors are mainly interested in the iterates of \(h\). They show that the sequence of iterates can be closely tied to an \(m\)-dependent process. This provides good bounds on the accuracy of Gaussian approximations. To this end the authors use coupling and Stein's method.
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60G10
zbMATH DE Number: 1439652
zbMATH Keywords: iteration
zbMATH Keywords: expanding map
zbMATH Keywords: Gaussian approximations
zbMATH Keywords: Stein's method
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 1439652