Abstract
Consider an hmc that is irreducible and positive recurrent. If its initial distribution is the stationary distribution, it keeps the same distribution at all times.
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Brémaud, P. (2017). Asymptotic Behaviour of Markov Chains. In: Discrete Probability Models and Methods. Probability Theory and Stochastic Modelling, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-43476-6_15
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DOI: https://doi.org/10.1007/978-3-319-43476-6_15
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