A pointwise ergodic theorem for Fuchsian groups

Details A pointwise ergodic theorem for Fuchsian groups A pointwise ergodic theorem for Fuchsian groups

2010-10-16

arxiv.org/abs/1010.3362v1

Mathematics

Dynamical Systems

16 pages, 4 figures

Scientific paper

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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