IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v155y1989i1p167-174.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437189900575
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(89)90057-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Prigogine, Ilya & Petrosky, Tomio Y., 1987. "Intrinsic irreversibility in quantum theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 33-47.
    2. Suchanecki, Zdzislaw, 1992. "On lambda and internal time operators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 249-266.
    3. Prigogine, Ilya & Petrosky, Tomio Y., 1988. "An alternative to quantum theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(3), pages 461-486.
    4. Coveney, P.V., 1987. "Statistical mechanics of a large dynamical system interacting with an external time-dependent field: generalised correlation subdynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 507-534.
    5. Miloš Milovanović & Nicoletta Saulig, 2022. "An Intensional Probability Theory: Investigating the Link between Classical and Quantum Probabilities," Mathematics, MDPI, vol. 10(22), pages 1-16, November.
    6. Berezin, V.T., 1982. "Nonequilibrium-relativistic long-wave limit in thermomechanics of polarizable multicomponent systems II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 74-100.
    7. Antoniou, I. & Gustafson, K. & Suchanecki, Z., 1998. "On the inverse problem of statistical physics: from irreversible semigroups to chaotic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(3), pages 345-361.
    8. Lockhart, C.M. & Misra, B., 1986. "Irreversebility and measurement in quantum mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 47-76.
    9. Courbage, M. & Misra, B., 1980. "On the equivalence between Bernoulli dynamical systems and stochastic Markov processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 359-377.
    10. Courbage, M., 1983. "Intrinsic irreversibility of Kolmogorov dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 459-482.
    11. Materassi, Massimo, 2020. "Stochastic Lagrangians for noisy dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    12. Łuczka, Jerzy, 1982. "Kinetic theory of resonance and relaxation in spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(1), pages 240-254.
    13. Nagata, Ken-ichi & Katsuyama, Tomoo, 1989. "A new probabilistic description for intermittent turbulence: Internal time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(3), pages 585-603.
    14. Petrosky, T. & Prigogine, I., 1991. "Alternative formulation of classical and quantum dynamics for non-integrable systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 146-209.
    15. Coveney, P.V. & George, Cl., 1987. "On the time-dependent formulation of analytical continuation in non-equilibrium statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 403-426.
    16. Miloš Milovanović & Nicoletta Saulig, 2024. "The Duality of Psychological and Intrinsic Time in Artworks," Mathematics, MDPI, vol. 12(12), pages 1-14, June.
    17. Gialampoukidis, I. & Gustafson, K. & Antoniou, I., 2014. "Time operator of Markov chains and mixing times. Applications to financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 141-155.
    18. Gialampoukidis, I. & Gustafson, K. & Antoniou, I., 2013. "Financial Time Operator for random walk markets," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 62-72.
    19. Miloš Milovanović & Srđan Vukmirović & Nicoletta Saulig, 2021. "Stochastic Analysis of the Time Continuum," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    20. Gialampoukidis, Ilias & Antoniou, Ioannis, 2015. "Age, Innovations and Time Operator of Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 140-155.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:155:y:1989:i:1:p:167-174. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.