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Ergodic theorems for actions of hyperbolic groups
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Pollicott, Mark and Sharp, Richard (2012) Ergodic theorems for actions of hyperbolic groups. Proceedings of the American Mathematical Society, 141 (5). pp. 1749-1757. doi:10.1090/S0002-9939-2012-11447-9 ISSN 0002-9939.
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Official URL: http://dx.doi.org/10.1090/S0002-9939-2012-11447-9
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0002-9939 | ||||
Official Date: | 20 November 2012 | ||||
Dates: |
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Volume: | 141 | ||||
Number: | 5 | ||||
Page Range: | pp. 1749-1757 | ||||
DOI: | 10.1090/S0002-9939-2012-11447-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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