Speaker: Oleg Zaboronski (University of Warwick) Title: Probabilistic methods for the asymptotic analysis of Fredholm Determinants and Pfaffians Abstract: I will review the probabilistic method for computing large gap asymptotics of certain Fredholm determinants due to Marc Kac. The main idea is to interpret the corresponding trace-log expansion in terms of a random walk. I will then state some […]
Seminar, September 20
Speaker: Mykola Portenko (Institute of Mathematics, NAS of Ukraine) Topic: Several comments to the behavior of Brownian motion in a Euclidean space with a membrane located on a given hyperplane. Abstract. My talk will concern the limit theorem for the number of crossings through the membrane by a discrete approximations of the process indicated in the title. I […]
Seminar, September 13
Speaker: Alexey Rudenko (Institute of Mathematics, NAS of Ukraine) Topic: An estimate for Hausdorff measure of the set of the intersections of several independent Brownian motions on Carnot group