Seminar 31.10.2023

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

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

Abstract: 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.

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