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Multifractal analysis for Bedford–McMullen carpets

Published online by Cambridge University Press:  22 September 2010

THOMAS JORDAN  and
MICHAL RAMS
THOMAS JORDAN
Affiliation:
Department of Mathematics, The University of Bristol, University Walk, Clifton, Bristol, BS8 1TW. e-mail: thomas.jordan@bris.ac.uk
MICHAL RAMS
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, ul.Śniadeckich 8, 00-956 Warszawa, Poland. e-mail: M.Rams@impan.gov.pl
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Abstract

In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 150 , Issue 1 , January 2011 , pp. 147 - 156
Copyright
Copyright © Cambridge Philosophical Society 2010

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References

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