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A pointwise ergodic theorem for Fuchsian groups

Published 16 Oct 2010 in math.DS and math.GT | (1010.3362v1)

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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