A Bound of Boshernitzan

A Bound of Boshernitzan

-
Jon Fickenscher, Princeton University
Fine Hall 601

In 1985, Boshernitzan showed that a minimal symbolic dynamical system with a linear complexity bound must have a finite number of probability invariant ergodic measures. We will discuss methods to sharpen this bound in general and provide cases in which the bound may already be reduced.  This is ongoing work with Michael Damron.