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The PMC processes associated to the (1/2, 1/2)-Bernoulli shift are also Bernoulli (1987)

Martínez, Servet

Springer

Journal of statistical physics 47 (1987), S. 527-541

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ISSN: 1572-9613

Keywords: Markov processes ; Bernoulli shifts ; stable manifold ; strong convergence to equilibrium ; Nelson measure

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01007524

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