On the equivalence between Bernoulli dynamical systems and stochastic Markov processes

M. Courbage and B. Misra

Physica A: Statistical Mechanics and its Applications, 1980, vol. 104, issue 3, 359-377

Abstract: We extend to Bernoulli systems the explicit construction (elaborated previously for the baker transformation) of non-unitary, invertible transformations Λ, which associate Markovian processes admitting an H-theorem with the unitary dynamical group, through a similarity relation. We characterize the symmetries of the Bernoulli system as well as those of the associated Markov processes and provide examples of symmetry breaking under the passage, through a Λ transformation, from Bernoulli systems to stochastic Markov processes.

Date: 1980
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:104:y:1980:i:3:p:359-377

DOI: 10.1016/0378-4371(80)90001-1

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