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arXiv · 1010.3362

A pointwise ergodic theorem for Fuchsian groups

Alexander I. Bufetov·Caroline Series
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Abstract

We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian group.

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Alexander I. Bufetov, Caroline Series. 2010-10-16. A pointwise ergodic theorem for Fuchsian groups. https://doi.org/10.1017/s0305004111000247

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