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Photons, billiards and chaos

  • Part II Determinism and Chaos
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Law and Prediction in the Light of Chaos Research

Part of the book series: Lecture Notes in Physics ((LNP,volume 473))

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References

  • Gallavotti, G, Ornstein, D. S. (1974): Billiards and Bernoulli schemes. Comm. Math. Phys. 38, 83–101

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Kolmogorov, A. N. (1958): A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces. Dokl. Akad. Nauk. SSSR 119, 861–864. (Russian) MR 21 #2035a.

    MathSciNet  MATH  Google Scholar 

  • Kolmogorov, A. N. (1959): Entropy per unit time as a metric invariant of automorphism. Dokl. Akad. Nauk SSSR 124, 754–755. (Russian) MR 2 #2035b.

    MathSciNet  MATH  Google Scholar 

  • Ornstein, D. S. (1970): Bernoulli shifts with the same entropy are isomorphic. Adv. Math. 4, 337–352

    Article  MathSciNet  MATH  Google Scholar 

  • Ornstein, D. S., Weiss, B. (1991): Statistical properties of chaotic systems. Bulletin (New Series) of the American Mathematical Society 24 (1), 11–116

    Article  MathSciNet  MATH  Google Scholar 

  • Sinai, Ya. G. (1959): On the notion of entropy of a dynamical system. Dokl. Akad. Nauk SSSR 124, 768–771

    MathSciNet  MATH  Google Scholar 

  • Sinai, Ya. G. (1970): Dynamical systems with elastic. Ergodic properties of displacing billiards. Usp. Mat. Nauk. 25 (2) (152), 141–192. (Russian) Zbl. 252.58005. English transl.: Russ. Math. Surv. 25 (2), 137–189

    MathSciNet  MATH  Google Scholar 

  • Suppes, P., de Barros, J. A. (1994a): A random walk approach to interference. International Journal of Theoretical Physics 33 (1), 179–189

    Article  MathSciNet  ADS  Google Scholar 

  • Suppes, P., de Barros, J. A. (1994b): Diffraction with well-defined photon trajectories: A foundational analysis. Foundations of Physics Letters 7, 501–514

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Stanford University, USA

    P. Suppes & J. Acacio de Barros

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  1. P. Suppes
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  2. J. Acacio de Barros
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Paul Weingartner Gerhard Schurz

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© 1996 Springer-Verlag 0142 V 2

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Suppes, P., Acacio de Barros, J. (1996). Photons, billiards and chaos. In: Weingartner, P., Schurz, G. (eds) Law and Prediction in the Light of Chaos Research. Lecture Notes in Physics, vol 473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101878

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  • DOI: https://doi.org/10.1007/BFb0101878

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61584-2

  • Online ISBN: 978-3-540-70693-9

  • eBook Packages: Springer Book Archive

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