Speaker: Mykola Vovchanskii Topic: On n-point densities of the point measures in the Arratia flows and their approximations Abstract: We discuss the n-point densities arising in the consideration of finite-dimensional motions of the Arratia flow and describing sequences of collisions in the flow. An explicit expression for them is derived. The initial interval being discretized, the convergence […]
Seminar, September 8
Speaker: Vitalii Konarovskyi Topic: Conditional Distribution of Independent Brownian Motions to Event of Coalescing Paths Abstract: In the talk, we will consider a family of independent real-valued Brownian motions starting at distinct points and will be interested in the description of the conditional distribution of this family to the event that trajectories coalesce, which is of probability […]