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

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

2011-09-05

arxiv.org/abs/1109.0849v1

Mathematics

Dynamical Systems

11 pages

Scientific paper

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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