Summary
Local mean-field Markov processes are constructed from local mean-field dynamical semigroups of Markov transition operators. This provides a general scheme for the convergence of empirical measure processes for tagged particles in the thermodynamic limit of classical interacting particle systems. As an application the Poissonian approximation for message-switching queueing networks is investigated.
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Duffield, N.G. Local mean-field Markov processes: An application to message-switching networks. Probab. Th. Rel. Fields 93, 485–505 (1992). https://doi.org/10.1007/BF01192718
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DOI: https://doi.org/10.1007/BF01192718
Keywords
- Stochastic Process
- Probability Theory
- Markov Process
- Transition Operator
- General Scheme