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Gibbs properties of self-conformal measures and the multifractal formalism

Published online by Cambridge University Press:  20 April 2007

DE-JUN FENG
DE-JUN FENG
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong (e-mail: [email protected]) and Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China (e-mail: [email protected])
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Abstract

We prove that for any self-conformal measures, without any separation conditions, the multifractal formalism partially holds. The result follows by establishing certain Gibbs properties for self-conformal measures.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 3 , June 2007 , pp. 787 - 812
Copyright
2007 Cambridge University Press

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