A pointwise ergodic theorem for Fuchsian groups

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.

16 pages, 4 figures

References in corpus (2)

• The ergodic theory of lattice subgroups
• Pointwise ergodic theorems for actions of groups

Cited by in corpus (3)

• Cesaro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups
• Mean convergence of Markovian spherical averages for measure-preserving actions of the free group
• Non-commutative ergodic Theorems for actions of the hyperbolic groups