Abstract
It is proven that the Prigogine-Misra-Courbage (PMC) processes associated to the (1/2, 1/2)-Bernoulli shift are Bernoulli shifts. The Bernoulli partitions are constructed explicitly by using the decomposition of the transition kernels of the PMC processes on the fibers of the stable manifold of the transformed point (the generating property of these partitions is proved for any two-symbol Bernoulli shifts).
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Martínez, S. The PMC processes associated to the (1/2, 1/2)-Bernoulli shift are also Bernoulli. J Stat Phys 47, 527–541 (1987). https://doi.org/10.1007/BF01007524
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DOI: https://doi.org/10.1007/BF01007524