A Course in Interacting Particle Systems

Fuente: arXiv
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1. Verfasser: Swart, Jan M.
Format: Preprint
Veröffentlicht: 2017
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_version_ 1866911252034355200
author Swart, Jan M.
author_facet Swart, Jan M.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1703_10007
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle A Course in Interacting Particle Systems
Swart, Jan M.
Probability
82C22
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.
title A Course in Interacting Particle Systems
topic Probability
82C22
url https://arxiv.org/abs/1703.10007