# American Institue of Mathematical Sciences

2008, 22(1/2): 235-246. doi: 10.3934/dcds.2008.22.235

## The Hausdorff dimension of measures for iterated function systems which contract on average

 1 Department of Mthematics, University of Bristol, University Walk, Clifton, Bristol, BS8 1TW, United Kingdom 2 Department of Mathematics, Warwick University, Coventry CV4 7AL

Received  January 2007 Revised  May 2007 Published  June 2008

In this note we consider measures supported on limit sets of systems that contract on average. In particular, we present an upper bound on their Hausdorff dimension.
Citation: Thomas Jordan, Mark Pollicott. The Hausdorff dimension of measures for iterated function systems which contract on average. Discrete & Continuous Dynamical Systems - A, 2008, 22 (1/2) : 235-246. doi: 10.3934/dcds.2008.22.235
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