Speaker: **Oleksii Rudenko **(Institute of Mathematics of NAS of Ukraine)

Topic: **Integrability properties for densities of Brownian motions ****in Carnot group **

Abstract. *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.*