Ergodic Theory and Dynamical Systems

Table of Contents - 03 May 2012 - Volume 32, Issue 03  

Research Article

There exists a topologically mixing interval exchange transformation

JON CHAIKAa1

a1 Department of Mathematics, Rice University, Houston, TX 77005, USA (email: jonchaika@math.uchicago.edu, Jonathan.M.Chaika@rice.edu)

Abstract

We prove the existence of a topologically mixing interval exchange transformation and prove that no interval exchange is topologically mixing of all orders.

(Received January 20 2009)

(Revised January 14 2011)

(Online publication May 24 2011)