Mathematics & Computer Science

Seminars and Colloquia

Tuesday, September 09, 2014

12:00 pm - 01:00 pm

Dynamics and Analysis Seminar: Joanna Furno, Wesleyan "Dynamics of singular and nonsingular p-adic transformations"

Abstract: Orbit equivalence is weaker than isomorphism as a notion of equivalence between transformations that are nonsingular and ergodic. In this talk, we will give examples of p-adic transformations in different orbit equivalence classes and show that iterates of a transformation are not always in the same orbit equivalence class. Some of the examples use independent and identically distributed (i.i.d.) Bernoulli measures beyond Haar measure. These non-Haar i.i.d. Bernoulli measures also give examples of singular systems when the transformation is translation by a rational number.

ESC 638