Event
Noah Forman (McMaster)
Thursday, November 10, 2022 11:30to12:30
Burnside Hall
Room 1214, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: The diffusion analogue to a tree-valued Markov chain.
Abstract. In '99, David Aldous conjectured that a certain Markov chain on the space of binary combinatorial trees should have a continuum analogue, which would be a continuum-tree-valued diffusion - a continuous stochastic process on a space of tree-like metric spaces. This talk discusses work by F-Pal-Rizzolo-Winkel that has verified this conjecture with a path-wise construction of the diffusion. Our approach explores connections between tree growth processes, the Chinese restaurant process, Galton-Watson and Crump-Mode-Jaegers branching processes, Wright-Fisher diffusions, and stable L茅vy processes.
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