Ergodic theorems for actions of hyperbolic groups

Pollicott, Mark; Sharp, Richard

doi:10.1090/S0002-9939-2012-11447-9

Ergodic theorems for actions of hyperbolic groups
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by Mark Pollicott and Richard Sharp PDF

Proc. Amer. Math. Soc. 141 (2013), 1749-1757 Request permission

Abstract:

In this note we give a short proof of a pointwise ergodic theorem for measure-preserving actions of word hyperbolic groups, also obtained recently by Bufetov, Khristoforov and Klimenko. Our approach also applies to infinite measure spaces, and one application is to linear actions of discrete groups on the plane.

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