Existence theorems for infinite particle systems
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- by Thomas M. Liggett PDF
- Trans. Amer. Math. Soc. 165 (1972), 471-481 Request permission
Abstract:
Sufficient conditions are given for a countable sum of bounded generators of semigroups of contractions on a Banach space to be a generator. This result is then applied to obtain existence theorems for two classes of models of infinite particle systems. The first is a model of a dynamic lattice gas, while the second describes a lattice spin system.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 165 (1972), 471-481
- MSC: Primary 60K35
- DOI: https://doi.org/10.1090/S0002-9947-1972-0309218-7
- MathSciNet review: 0309218