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

Alves, José; Schnellmann, Daniel

doi:10.1090/S0002-9939-2013-11680-1

Ergodic properties of Viana-like maps with singularities in the base dynamics
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by José F. Alves and Daniel Schnellmann PDF

Proc. Amer. Math. Soc. 141 (2013), 3943-3955 Request permission

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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