Joint ergodicity along generalized linear functions
SCIE
SCOPUS
- Title
- Joint ergodicity along generalized linear functions
- Authors
- Bergelson, V; Leibman, A; Son, Y
- Date Issued
- 2016-10
- Publisher
- CAMBRIDGE UNIV PRESS
- Abstract
- A criterion of joint ergodicity of several sequences of transformations of a probability measure space X of the form T-i(phi i(n)) is given for the case where T-i are commuting measure-preserving transformations of X and phi(i) are integer-valued generalized linear functions, that is, the functions formed from conventional linear functions by an iterated use of addition, multiplication by constants, and the greatest integer function. We also establish a similar criterion for joint ergodicity of families of transformations depending on a continuous parameter, as well as a condition of joint ergodicity of sequences T-i(phi i(n)) along primes.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36656
- DOI
- 10.1017/ETDS.2015.11
- ISSN
- 0143-3857
- Article Type
- Article
- Citation
- Ergodic Theory and Dynamical Systems, vol. 36, page. 2044 - 2075, 2016-10
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- There are no files associated with this item.
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