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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

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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
Journal or Publication Title: Ergodic Theory and Dynamical Systems
Publisher: Cambridge University Press
ISSN: 0143-3857
Official Date: 1981
Dates:
DateEvent
1981UNSPECIFIED
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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