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

Published 5 Sep 2011 in math.DS | (1109.0849v1)

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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