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Return times and conjugates of an antiperiodic transformation
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Alpern, Steve (1981) Return times and conjugates of an antiperiodic transformation. Ergodic Theory and Dynamical Systems, 1 (02). pp. 135-143. doi:10.1017/S0143385700009172
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Official URL: http://dx.doi.org/10.1017/S0143385700009172
Abstract
Denote by G the group of all μ-preserving bijections of a Lebesgue probability space (X, Σ, μ) and by C the conjugacy class of an antiperiodic transformation σ in G. We present several new results concerning the denseness of C in G with respect to various topologies. One of these asserts that given any weakly mixing transformation τ in G and any F with μ(F) < 1, there is a transformation in C which agrees with τ a.e. on F.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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| Journal or Publication Title: | Ergodic Theory and Dynamical Systems | ||||
| Publisher: | Cambridge University Press | ||||
| ISSN: | 0143-3857 | ||||
| Official Date: | 1981 | ||||
| Dates: |
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| Volume: | 1 | ||||
| Number: | 02 | ||||
| Page Range: | pp. 135-143 | ||||
| DOI: | 10.1017/S0143385700009172 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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