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Ergodic properties of Viana-like maps with singularities in the base dynamics

Authors
  • Alves, José Ferreira
  • Schnellmann, Daniel
Type
Preprint
Publication Date
Sep 05, 2011
Submission Date
Sep 05, 2011
Identifiers
arXiv ID: 1109.0849
Source
arXiv
License
Yellow
External links

Abstract

We consider two examples of Viana maps for which the base dynamics has singularities (discontinuities or critical points) and show the existence of a unique absolutely continuous invariant probability measure and related ergodic properties such as stretched exponential decay of correlations and stretched exponential large deviations.

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