Probability Seminar: Mathav Murugan
Topic
A characterization of Liouville property
Speakers
Details
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.
Additional Information
Location: ESB 2012
Mathav Murugan, UBC Math and PIMS
Mathav Murugan, UBC Math and PIMS
This is a Past Event
Event Type
Scientific, Seminar
Date
December 2, 2015
Time
-
Location