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Faithfulness property of the transition from Bernoulli systems to irreversible Markov processes

Author

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  • Courbage, M.
  • Coutsomitros, C.Th.
  • Misra, B.

Abstract

In a previous paper, Misra, Prigogine and Courbage have shown that each Bernoulli dynamical system may be associated through positivity preserving similarity transformations to a stochastics Markov process. Here we give generalized baker transformarmations are necessarily distinct. processes associated to two distinct generalized baker transformation are necessarily distinct.

Suggested Citation

  • Courbage, M. & Coutsomitros, C.Th. & Misra, B., 1989. "Faithfulness property of the transition from Bernoulli systems to irreversible Markov processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(1), pages 167-174.
    • Handle: RePEc:eee:phsmap:v:155:y:1989:i:1:p:167-174
    DOI: 10.1016/0378-4371(89)90057-5
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    References listed on IDEAS

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    1. Misra, B. & Prigogine, I. & Courbage, M., 1979. "From deterministic dynamics to probabilistic descriptions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 1-26.
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    Cited by:

    1. Antoniou, I. & Gustafson, K., 1997. "From irreversible Markov semigroups to chaotic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 296-308.

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