Open Access
April, 1973 An Infinite Particle System with Zero Range Interactions
Thomas M. Liggett
Ann. Probab. 1(2): 240-253 (April, 1973). DOI: 10.1214/aop/1176996977


Existence and uniqueness is proved for Spitzer's zero range interaction process. It is then shown that a certain class of measures on the configuration space is invariant for this process.


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Thomas M. Liggett. "An Infinite Particle System with Zero Range Interactions." Ann. Probab. 1 (2) 240 - 253, April, 1973.


Published: April, 1973
First available in Project Euclid: 19 April 2007

zbMATH: 0264.60083
MathSciNet: MR381039
Digital Object Identifier: 10.1214/aop/1176996977

Primary: 60K35
Secondary: 60J35

Keywords: infinite particle systems , interacting particle systems , semigroups of linear transformations

Rights: Copyright © 1973 Institute of Mathematical Statistics

Vol.1 • No. 2 • April, 1973
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