Abstract
Consider an hmc that is irreducible and positive recurrent. In particular, if its initial distribution is the stationary distribution, it keeps the same distribution at all times.
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Brémaud, P. (2020). Long-Run Behavior. In: Markov Chains. Texts in Applied Mathematics, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-030-45982-6_4
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DOI: https://doi.org/10.1007/978-3-030-45982-6_4
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