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Scientific article
English

Persistence of nonhyperbolic measures for C 1-diffeomorphisms

Contributors

Kleptsyn, Victor Alexeevitch; Nalsky, M. B.

Published in

Functional analysis and its applications, vol. 41, no. 4, p. 271-283

Publication date

2007

Abstract

In the space of diffeomorphisms of an arbitrary closed manifold of dimension > 3, we construct an open set such that each diffeomorphism in this set has an invariant ergodic measure with respect to which one of its Lyapunov exponents is zero. These diffeomorphisms are constructed to have a partially hyperbolic invariant set on which the dynamics is conjugate to a soft skew product with the circle as the fiber. It is the central Lyapunov exponent that proves to be zero in this case, and the construction is based on an analysis of properties of the corresponding skew products.

Keywords

  • Lyapunov exponent
  • Partial hyperbolicity
  • Dynamical system
  • Skew product

UNIGE affiliation entities

Citation (ISO format)

KLEPTSYN, Victor Alexeevitch, NALSKY, M. B. Persistence of nonhyperbolic measures for C 1-diffeomorphisms. In: Functional analysis and its applications, 2007, vol. 41, n° 4, p. 271–283. doi: 10.1007/s10688-007-0025-8

Main files (1)

Article (Published version)

Identifiers

Additional URL for this publication

http://www.springerlink.com/index/10.1007/s10688-007-0025-8

Journal ISSN

0016-2663
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Technical informations

Creation

06/07/2010 13:19:00

First validation

06/07/2010 13:19:00

Update

14/03/2023 15:55:49

Status update

14/03/2023 15:55:49

Last indexation

29/10/2024 16:17:16
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