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Multifractal formalism for some parabolic maps

Published online by Cambridge University Press:  01 June 2000

KENTARO NAKAISHI
KENTARO NAKAISHI
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153, Japan
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Abstract

We study multifractal spectra of a simple class of interval transformations with a neutral fixed point. The analyticity of their spectral curves depends on whether the absolutely continuous invariant measure is infinite or not.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 3 , June 2000 , pp. 843 - 857
Copyright
2000 Cambridge University Press

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