ERGODIC THEOREMS FOR ACTIONS OF HYPERBOLIC GROUPS

作者：Pollicott Mark^*; Sharp Richard

来源：Proceedings of the American Mathematical Society, 2013, 141(5): 1749-1757.

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.

• 出版日期2013-5