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.
CITATION STYLE
Brémaud, P. (2017). Asymptotic Behaviour of Markov Chains. In Probability Theory and Stochastic Modelling (Vol. 78, pp. 373–396). Springer Nature. https://doi.org/10.1007/978-3-319-43476-6_15
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