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Large deviation principle for Markov chains in continuous time. (English. Russian original) Zbl 0996.60086

Probl. Inf. Transm. 37, No. 2, 120-139 (2001); translation from Probl. Peredachi Inf. 37, No. 2, 40-61 (2001).
From the introduction: The notion of empirical generator for countable continuous-time Markov chains is introduced and studied. The author proves the Ruelle-Landford property and the weak large deviation principle for the empirical generator of the Markov chain.

MSC:

60J27 Continuous-time Markov processes on discrete state spaces
60J35 Transition functions, generators and resolvents
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