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

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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
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