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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Processes with infinitely many jumping particles


Author: Wayne G. Sullivan
Journal: Proc. Amer. Math. Soc. 54 (1976), 326-330
DOI: https://doi.org/10.1090/S0002-9939-1976-0394940-6
MathSciNet review: 0394940
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Abstract | References | Additional Information

Abstract: We give sufficient conditions for a Markov process of an infinite particle system to be specified by a formal generator which has a term for each finite subset of particles. Under stronger assumptions we show that processes of this type preserve a certain property of probability measures.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0394940-6
Keywords: Infinite particle systems, ergodic measures
Article copyright: © Copyright 1976 American Mathematical Society