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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.

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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