On the rank of von Neumann special flows

Adam Kanigowski, Anton Solomko

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
214 Downloads (Pure)

Abstract

We prove that special flows over an ergodic rotation of the circle under a roof function with one discontinuity do not have local rank one. In particular, any such flow has infinite rank.

Original languageEnglish
Pages (from-to)2245-2256
Number of pages12
JournalErgodic Theory and Dynamical Systems
Volume38
Issue number6
Early online date14 Mar 2017
DOIs
Publication statusPublished - 1 Sep 2018

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