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Oleg Zaboronski

Title: The analytic structure for the point sets of the Brownian Web and the Brownian Net

Abstract: We study coalescing point sets for the Brownian Web and branching coalescing point
sets for the Brownian Net. These are known to be Feller processes associated
with Web or Net paths started from a subset of $\overline{R}$. We derive explicit
Pfaffian expressions for transition densities of these processes which
shows that one-dimensional marginals of the coalescing and branching-coalescing point
sets can be characterised as Pfaffian point processes on a line. (Joint work with R. Tribe.)