Student Probability Seminar

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Maximum of branching Brownian motion

Speaker: Michel Pain, CIMS

Location: Warren Weaver Hall 201

Date: Thursday, December 12, 2019, 12:15 p.m.

Synopsis:

Branching Brownian motion is a particle system on the real line, where particles move according to Brownian motion and splits into two after an exponentially distributed lifetime. The study of the position of the highest particle at large times dates back to the 70's and 80's, but has only been fully understood via probabilistic arguments in the last decade. I will describe these results and give some proof ideas, focusing on the comparison with the easier case of many particles moving independently without branching mechanism.