Probability Seminar: Mathav Murugan

  • Date: 01/17/2017
  • Time: 16:00
Mathav Murugan, UBC

University of British Columbia


Boundary Harnack principle for diffusions


The boundary Harnack principle (BHP) is a fundamental tool to understand the behaviour of positive harmonic functions near the boundary of a domain. For instance, the BHP implies a concrete description of the Martin boundary of a domain in geometric terms. Other applications of BHP include Carleson estimate, Fatou's theorem, and heat kernel estimates for diffusions killed upon exiting a domain. In this talk, I will discuss a recent extension of BHP that provides new examples of diffusions satisfying BHP even in R^n.

This is joint work with Martin Barlow.

Other Information: 

Location: ESB 2012

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