A pointwise ergodic theorem for Fuchsian groups

ALEXANDER I. BUFETOV, CAROLINE SERIES
2011 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
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.
doi:10.1017/s0305004111000247 fatcat:o3zypahgdjchbkes2p7wezcyb4