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Regular version of the site

Article

A symmetric Markov coding and the ergodic theorem for actions of Fuchsian Groups

Mathematics Research Reports (publisher: MathOA, Netherlands). 2020. Vol. 1. P. 5-14.
Bufetov A. I., Klimenko A. V., Series C.

The main result of this note is the pointwise convergence of spherical averages for measure-preserving actions of Fuchsian groups. The proof relies on a new self-inverse Markovian symbolic coding for Fuchsian groups and the method of Markov operators.