Open AccessThere exists an interval exchange with a non-ergodic generic measure
Author(s) -
Jon Chaika,
Howard Masur
Publication year - 2015
Publication title -
journal of modern dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.668
H-Index - 25
eISSN - 1930-532X
pISSN - 1930-5311
DOI - 10.3934/jmd.2015.9.289
Subject(s) - ergodic theory , mathematics , invariant measure , measure (data warehouse) , interval (graph theory) , stationary ergodic process , invariant (physics) , point (geometry) , pure mathematics , discrete mathematics , combinatorics , geometry , computer science , database , mathematical physics
We show that there exists an interval exchange and a point so that the orbit of the point equidistributes for a measure that is not ergodic.
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