a1 The Steklov Institute of Mathematics, Russian Academy of Sciences, Gubkina Str. 8, 119991, Moscow, Russia. e-mail: email@example.com
a2 Mathematics Institute, University of Warwick, Coventry CV4 7AL. e-mail: C.M.Series@warwick.ac.uk
We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesàro averages of spherical averages in a Fuchsian group.
(Received October 26 2010)
(Revised February 04 2011)
(Online publication April 27 2011)