Rank-one transformations, odometers, and finite factors

Matthew Foreman, Su Gao, Aaron Hill, Cesar E. Silva*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a given finite cyclic permutation, (b) which rank-one transformations factor onto a given odometer, and (c) which rank-one transformations are isomorphic to a given odometer. These naturally yield characterizations of (d) which rank-one transformations factor onto some (unspecified) finite cyclic permutation, (d′) which rank-one transformations are totally ergodic, (e) which rank-one transformations factor onto some (unspecified) odometer, and (f) which rank-one transformations are isomorphic to some (unspecified) odometer.

Original languageEnglish
Pages (from-to)231-249
Number of pages19
JournalIsrael Journal of Mathematics
Volume255
Issue number1
DOIs
StatePublished - Jun 2023

Bibliographical note

Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

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