Introduction to interacting particle systems

Tuesday, June 27, 2017
Ora Inizio: 
Ora Fine: 
Michel Nassif
ENS Rennes

Interacting particle systems is a recently developed field in
the theory of Markov processes with many applications: particle systems
have been used to model phenomena ranging from traffic behaviour to spread
of infection and tumour growth. We introduce this field through the study
of the simple exclusion process. We will construct the generator of this
process and we will give a convergence result of the spatial particle
density to the solution of the heat equation. We will also discuss a
variation of the simple exclusion process with proliferation.