Colloque des sciences mathématiques du Québec

7 février 2014 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Degenerate diffusions arising in population genetics

Colloque par 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., salle SH-3420