On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part-Reference-Cited by-同舟云学术

On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part

Published:2020-07-20 Issue: Volume: Page:2140003
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Toyokawa Hisayoshi¹

Affiliation:

1. Department of Mathematics, Hokkaido University, Sapporo City, Hokkaido 060-0810, Japan

Abstract

For an annealed type random dynamical system arising from non-uniformly expanding maps which admits uniformly contractive branches, we establish the existence of an absolutely continuous [Formula: see text]-finite invariant measure. We also show when the invariant measure is infinite.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493721400037

Reference18 articles.

1. Annealed and quenched limit theorems for random expanding dynamical systems

2. Absolutely continuous invariant measures for random non-uniformly expanding maps

3. Mixing rates and limit theorems for random intermittent maps

4. Decay of correlation for random intermittent maps

5. Quenched decay of correlations for slowly mixing systems

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