Ergodicity of Markov Processes via Nonstandard Analysis Aida Allen-Rotell Chapters align to the Board

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Ergodicity of Markov Processes via Nonstandard Analysis Aida Allen-Rotell Chapters align to the BoardThe Markov chain ergodic theorem is well understood if either the time line or the state space is discrete. However, there does not exist a very clear result for general state space continuous time Markov processes. Using methods from mathematical logic and nonstandard analysis, we introduce a class of hyperfinite Markov processes namely, general Markov processes which behave like finite state space discrete time Markov processes. We show that, under