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math.DS2015★ 6 cited
On the number of ergodic measures for minimal shifts with eventually constant complexity growth
Michael Damron, Jon Fickenscher
In 1985, Boshernitzan showed that a minimal (sub)shift satisfying a linear block growth condition must have a bounded number of ergodic probability measures. Recently, this bound w…
math.DS2015
Decoding Rauzy Induction: An Answer to Bufetov's General Question
Jon Fickenscher
Given a typical interval exchange transformation, we may naturally associate to it an infinite sequence of matrices through Rauzy induction. These matrices encode visitations of th…