Jan M. Swart
Published 2017-03-29Version 1
These lecture notes give an introduction to the theory of interacting particle systems. The main subjects are the construction using generators and graphical representations, the mean field limit, stochastic order, duality, and the relation to oriented percolation. An attempt is made to give a large number of examples beyond the classical voter, contact and Ising processes and to illustrate these based on numerical simulations.
Comments: These are lecture notes for a course in interacting particle systems taught at Charles University, Prague, in 2015/2016
Representations of Hecke algebras and Markov dualities for interacting particle systems
Quantitative homogenization of interacting particle systems
Convergence of U-statistics for interacting particle systems
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