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Time reversal and stationary Gibbs measures |
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| Authors: | H. Künsch |
| Affiliation: | Mathematics Department, College of General Education, Tokyo University, Komaba, Meguro-ku, Tokyo 153, Japan |
| Abstract: | Markov chains on an infinite product space are considered whose transition kernel is of the Gibbsian type. It is proved that then a stationary probability measure is Gibbsian if and only if the transition kernel of the reversed chain is also Gibbsian. |
| Keywords: | infinite particle systems Gibbs measures interaction time reversal stationary measures for Markov chains |
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