EVENT DETAILS AND ABSTRACT

Title: Symmetric random walks on the line
Speaker: Kamlesh Parwani
Speaker Info: Eastern Illinois University
Brief Description:
Special Note:
Abstract:

We study symmetric random walks on finitely generated groups of orientation-preserving homeomorphisms of the real line. We establish an oscillation property for the induced Markov chain on the line that implies a weak form of recurrence. As a byproduct, we recover the fact that every finitely generated group of homeomorphisms of the real line is topologically conjugate to a group of (globally) Lipschitz homeomorphisms.