On the rank of von Neumann special flows

Adam Kanigowski; Anton V. Solomko

doi:10.1017/etds.2016.131

On the rank of von Neumann special flows

Adam Kanigowski, Anton V. Solomko

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	2245-2256
Number of pages	12
Journal	Ergodic Theory and Dynamical Systems
Volume	38
Issue number	6
DOIs	https://doi.org/10.1017/etds.2016.131
State	Published - Sep 1 2018

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/etds.2016.131

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On the rank of von Neumann special flows

Abstract

All Science Journal Classification (ASJC) codes

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