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From deterministic dynamics to probabilistic descriptions

Author

Listed:
  • Misra, B.
  • Prigogine, I.
  • Courbage, M.

Abstract

The present work is devoted to the following question: What is the relation between the deterministic laws of dynamics and probabilistic description of physical processes?

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:98:y:1979:i:1:p:1-26
    DOI: 10.1016/0378-4371(79)90163-8
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Suchanecki, Zdzislaw, 1992. "On lambda and internal time operators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 249-266.
    4. 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.
    5. 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.
    6. 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.
    7. Miloš Milovanović & Nicoletta Saulig, 2024. "The Duality of Psychological and Intrinsic Time in Artworks," Mathematics, MDPI, vol. 12(12), pages 1-14, June.
    8. 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.
    9. Suchanecki, Zdzisław & Weron, Aleksander, 1990. "Characterizations of intrinsically random dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(2), pages 220-228.
    10. 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.
    11. 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.
    12. 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.
    13. Materassi, Massimo, 2020. "Stochastic Lagrangians for noisy dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    14. Henin, F. & Mayné, F., 1981. "Physical description of decay processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 281-304.
    15. 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.
    16. 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.
    17. Miloš Milovanović & Srđan Vukmirović & Nicoletta Saulig, 2021. "Stochastic Analysis of the Time Continuum," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    18. Courbage, M., 1983. "Intrinsic irreversibility of Kolmogorov dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 122(3), pages 459-482.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. Gialampoukidis, I. & Gustafson, K. & Antoniou, I., 2013. "Financial Time Operator for random walk markets," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 62-72.

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