A Course in Interacting Particle Systems

Abstract

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.

To be published by Cambridge University Press as A Course in Interacting Particle Systems by Jan M. Swart. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. \c{opyright} Institute of Information Theory and Automation of the Czech Academy of Sciences, Pod Vodárenskou věží 1143/4, 182 00 Prague 8, Czech Republic