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Sub-additive ergodic theorems for countable amenable groups
Authors:Anthony H. Dooley  Valentyn Ya. Golodets  Guohua Zhang
Affiliation:1. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom;2. School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia;3. School of Mathematical Sciences and LMNS, Fudan University, Shanghai 200433, China
Abstract:In this paper we generalize Kingman's sub-additive ergodic theorem to a large class of infinite countable discrete amenable group actions.
Keywords:Ergodic theorem   Amenable group
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