On isomorphism problem for von Neumann flows with one discontinuity

Adam Kanigowski*, Anton V. Solomko

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

1 Citation (Scopus)

Abstract

A von Neumann flow is a special flow over an irrational rotation of the circle and under a piecewise C1 roof function with a non-zero sum of jumps. We prove that the absolute value of the jump is a (measure theoretic) invariant in the class of von Neumann special flows with one discontinuity, i.e., two ergodic von Neumann flows with one discontinuity are not isomorphic if the jumps of the roof functions have different absolute values, regardless of the irrational rotation in the base.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalIsrael Journal of Mathematics
DOIs
Publication statusAccepted/In press - 11 May 2018

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