On pointwise dimension of non-hyperbolic measures

Boris Kalinin; Victoria Sadovskaya

doi:10.1017/S0143385702000895

On pointwise dimension of non-hyperbolic measures

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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 language	English (US)
Pages (from-to)	1783-1801
Number of pages	19
Journal	Ergodic Theory and Dynamical Systems
Volume	22
Issue number	6
DOIs	https://doi.org/10.1017/S0143385702000895
State	Published - Dec 2002

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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On pointwise dimension of non-hyperbolic measures

Abstract

All Science Journal Classification (ASJC) codes

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