Probability Seminar: Mathav Murugan

  • Date: 12/02/2015
  • Time: 15:00
Mathav Murugan, UBC Math and PIMS

University of British Columbia


A characterization of Liouville property


Poisson boundary provides an integral representation of all bounded harmonic functions. We say that a Markov chain satisfies the Liouville property if all bounded harmonic functions are constant, that is the Poisson boundary is trivial.


The first part of the talk is a gentle introduction to Poisson boundary.  Then I will state a new condition that is equivalent to the Liouville property and provide a proof of this equivalence. This talk is based on an ongoing work and will be self-contained.

Other Information: 

Location: ESB 2012