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Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems

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Dynamical Systems Valparaiso 1986

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1331))

Abstract

We analyze the dimension spectrum introduced in [J.K.L.] to describe the local singularity of a measure. In the case of an invariant measure for an expanding Markov map of the interval, we show that this question can be studied by using large deviation theory and the associated Thermodynamic formalism.

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Authors
  1. P. Collet
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Editor information

Rodrigo Bamón Rafael Labarca Jacob Palis Jr.

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© 1988 Springer-Verlag

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Collet, P. (1988). Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems. In: Bamón, R., Labarca, R., Palis, J. (eds) Dynamical Systems Valparaiso 1986. Lecture Notes in Mathematics, vol 1331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083065

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  • DOI: https://doi.org/10.1007/BFb0083065

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50016-2

  • Online ISBN: 978-3-540-45889-0

  • eBook Packages: Springer Book Archive

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