Multiple intersections and potentials for several independent Brownian motions in Carnot groups

by Oleksii Rudenko (Institute of Mathematics of NAS of Ukraine)

Tuesday 31 Oct 2023, 17:00 → 18:00 Europe/Kiev

https://us02web.zoom.us/j/83924873277 (ONLINE)

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.