Доповідач: Олексій Руденко (Інститут математики НАН України)
Тема: Multiple intersections and potentials for several independent Brownian motions in Carnot groups
Тези: It is well-known that a hitting probability of Markov process can be represented as a potential of some measure. Moreover there are several results relating the probability for the product of trajectories of several independent Markov processes to hit a set to some integrals involving the product of potentials.
In this talk we discuss these relations and consider some estimates of the corresponding integrals for Brownian motion in Carnot group.