Ergodic properties of Viana-like maps with singularities in the base dynamics
classification
🧮 math.DS
keywords
basedynamicsergodicexponentialmapspropertiessingularitiesstretched
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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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