Geodesic
Synchronous and Asynchronous Reversible Markov Systems(1)
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 633-649

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DOI

The relationships between synchronous and asynchronous reversible Markov systems are investigated. It is shown that the invariant measure of such systems is a second order Markov random field. The conditions under which the invariant measure is a first order Markov random field are obtained. 
Dawson, D. A. Synchronous and Asynchronous Reversible Markov Systems(1). Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 633-649. doi: 10.4153/CMB-1974-117-4
@article{10_4153_CMB_1974_117_4,
     author = {Dawson, D. A.},
     title = {Synchronous and {Asynchronous} {Reversible} {Markov} {Systems(1)}},
     journal = {Canadian mathematical bulletin},
     pages = {633--649},
     year = {1975},
     volume = {17},
     number = {5},
     doi = {10.4153/CMB-1974-117-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-117-4/}
}
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