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Part of the book series: Probability and its Applications ((PA))

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Abstract

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.

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© 1997 Springer Science+Business Media New York

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Fristedt, B., Gray, L. (1997). Interacting Particle Systems. In: A Modern Approach to Probability Theory. Probability and its Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-2837-5_32

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  • DOI: https://doi.org/10.1007/978-1-4899-2837-5_32

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-2839-9

  • Online ISBN: 978-1-4899-2837-5

  • eBook Packages: Springer Book Archive

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