By Benoît Henry (IMT Lille Douai)
Joint work with Vincent Calvez, Sylvie Méléard and Viet Chi Tran.
Abstract: It is usual to approximate PDE in biology using branching processes as microscopic mo-dels. The behavior of such processes, when linear, can then be investigated using tools such as many-to-one formulas and the associated spine processes. This process is typically a time-inhomogeneous Markov process. In this talk, we will discuss some homogenization phenomenon arising when approximating a PDE at stationarity for the time-reversed spine process
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