Доповідач: Олексій Руденко (Інститут математики НАН України)
Тема: Integrability properties for densities of Brownian motions in Carnot group
Тези. We consider transition densities for Brownian motions in Carnot group and for some other types of Markov processes. Using known results regarding estimates of such densities we are going to present necessary and sufficient conditions for finiteness of some integrals, related to existence of intersections and self-intersections for functions of such processes.