Interacting Particle Systems

  • Bert Fristedt
  • Lawrence Gray
Part of the Probability and its Applications book series (PA)


An ‘interacting particle system’ can be informally described as a Markov process consisting of countably many pure-jump processes that interact by modifying each other’s transition rates. Each individual pure-jump process in such a system is located at a ‘site’ and has state space {0,1,2,...,n}. The state of the pure-jump process at a given site is the number of ‘particles’ at that site, with n being the maximum particle number.


Point Process Equilibrium Distribution Vacant Site Infinitesimal Generator Poisson Point Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Bert Fristedt
    • 1
  • Lawrence Gray
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

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