Regularity of coboundaries for non uniformly expanding Markov maps

Details Regularity of coboundaries for non uniformly expanding Markov maps Regularity of coboundaries for non uniformly expanding Markov maps

2005-02-22

arxiv.org/abs/math/0502458v1

Mathematics

Dynamical Systems

Scientific paper

We prove that solutions $u$ of the equation $f=u-u\circ T$ are automatically
Holder continuous when $f$ is Holder continuous, and $T$ is non uniformly
expanding and Markov. This result applies in particular to Young towers and to
intermittent maps.

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