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On pointwise dimension of non-hyperbolic measures

Published online by Cambridge University Press:  06 November 2002

BORIS KALININ  and
VICTORIA SADOVSKAYA
BORIS KALININ
Affiliation:
The University of Michigan, Ann Arbor, MI 48109, USA (e-mail: kalinin@umich.edu, sadovska@umich.edu)
VICTORIA SADOVSKAYA
Affiliation:
The University of Michigan, Ann Arbor, MI 48109, USA (e-mail: kalinin@umich.edu, sadovska@umich.edu)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 6 , December 2002 , pp. 1783 - 1801
Copyright
2002 Cambridge University Press

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