On the rank of von Neumann special flows

Adam Kanigowski; Anton Solomko

doi:10.1017/etds.2016.131

On the rank of von Neumann special flows

Adam Kanigowski, Anton Solomko

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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
Pages (from-to)	2245-2256
Number of pages	12
Journal	Ergodic Theory and Dynamical Systems
Volume	38
Issue number	6
Early online date	14 Mar 2017
DOIs	https://doi.org/10.1017/etds.2016.131
Publication status	Published - 1 Sept 2018

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitleon-the-rank-of-von-neumann-special-flowsdiv/A0982ABA3EFED4D366F64D7A53E101A7. Please refer to any applicable terms of use of the publisher.
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AU - Solomko, Anton

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On the rank of von Neumann special flows

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