The Hausdorff dimension of measures for iterated function systems which contract on average
type: Item
instance of: scholarly article
title: The Hausdorff dimension of measures for iterated function systems which contract on average
zbMATH Open document ID: 1160.37033
author: Mark Pollicott
author: Thomas M. Jordan
published in: Discrete and Continuous Dynamical Systems
publication date: 2008-09-12T00:00:00Z
review text: The authors consider an iterated function system (\(C^2\) diffeomorphisms) in \(\mathbb{R}^d\) which contracts on average with the aim to provide a sharp upper bound for the Hausdorff dimension of natural measures defined using such systems.
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 37M25
Mathematics Subject Classification ID: 37H15
zbMATH DE Number: 5342980
zbMATH Keywords: contraction on average
zbMATH Keywords: iterated function scheme
zbMATH Keywords: Hausdorff dimension
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: dcds.2008.22.235
OpenAlex ID: W1975861126
DOI: 10.3934/DCDS.2008.22.235
description: scientific article; zbMATH DE number 5342980