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

Thomas Jordan; Mark Pollicott

doi:10.3934/dcds.2008.22.235

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2008, Volume 22, Issue 1&2: 235-246. Doi: 10.3934/dcds.2008.22.235

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

Thomas Jordan^1, and
Mark Pollicott^2,

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

Received: January 2007

Revised: May 2007

Published: March 2008

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 37L30 and 37H15; secondary: 37C40 and 37M25.

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