Time-Reversal of the Spine of Branching Processes Near Stationarity

Explore a 33-minute lecture on the time-reversal of the spine of branching processes near stationarity, presented by Benoît Henry from IMT Lille Douai at the Institut Henri Poincaré. Delve into the joint work with Vincent Calvez, Sylvie Méléard, and Viet Chi Tran, which investigates the approximation of PDEs in biology using branching processes as microscopic models. Examine the behavior of linear processes through many-to-one formulas and associated spine processes, typically represented as time-inhomogeneous Markov processes. Discover the homogenization phenomenon that arises when approximating a PDE at stationarity for the time-reversed spine process. Gain insights into advanced mathematical concepts applied to biological systems in this in-depth academic presentation.