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

José Ferreira Alves; Daniel Schnellmann

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

Dynamical Systems 2011-09-06 v1

Authors: José Ferreira Alves , Daniel Schnellmann

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.

Keywords

Viana maps singularities base dynamics ergodic properties absolutely continuous invariant measure stretched exponential decay of correlations large deviations

Cite

@article{arxiv.1109.0849,
  title  = {Ergodic properties of Viana-like maps with singularities in the base dynamics},
  author = {José Ferreira Alves and Daniel Schnellmann},
  journal= {arXiv preprint arXiv:1109.0849},
  year   = {2011}
}

Comments

11 pages

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