Quebec Mathematical Sciences Colloquium

February 7, 2014 from 16:00 to 18:00 (Montreal/Miami time) On location

Degenerate diffusions arising in population genetics

Colloquium presented by Charles Epstein

I will speak on recent work, joint with Rafe Mazzeo and Camelia Pop, on the analysis of solutions to a class of degenerate diffusion equations that arise as limits of Markov chain models used in population genetics and mathematical finance. These equations are naturally defined on spaces with rather singular boundaries, like simplices and orthants. In addition to basic existence, uniqueness and regularity results, I will discuss Harnack inequalities and heat kernel estimates.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., room SH-3420