On pointwise dimension of non-hyperbolic measures

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We construct a diffeomorphism preserving a non-hyperbolic measure whose pointwise dimension does not exist almost everywhere. In the one-dimensional case we also show that such diffeomorphisms are typical in certain situations.

Original languageEnglish (US)
Pages (from-to)1783-1801
Number of pages19
JournalErgodic Theory and Dynamical Systems
Volume22
Issue number6
DOIs
StatePublished - Jan 1 2002

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Diffeomorphism
Diffeomorphisms

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "On pointwise dimension of non-hyperbolic measures",
abstract = "We construct a diffeomorphism preserving a non-hyperbolic measure whose pointwise dimension does not exist almost everywhere. In the one-dimensional case we also show that such diffeomorphisms are typical in certain situations.",
author = "Kalinin, {Boris V.} and Sadovskaya, {Victoria V.}",
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On pointwise dimension of non-hyperbolic measures. / Kalinin, Boris V.; Sadovskaya, Victoria V.

In: Ergodic Theory and Dynamical Systems, Vol. 22, No. 6, 01.01.2002, p. 1783-1801.

Research output: Contribution to journalArticle

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