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Diffusion de spheres dures dans la droite reelle : comportement macroscopique et equilibre local

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Séminaire de Probabilités XVIII 1982/83

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1059))

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References

  1. P. BREMAUD: Point processes and queues. New York, Heidelberg, Berlin: Springer 1981.

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  2. T.C. BROWN: Some Poisson approximations. Preprint 1982. (A paraître dans Annals of Probability.)

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  3. W. FELLER: An introduction to probability theory and its applications, Vol.II. New-York: Wiley 1966.

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  4. J. MEMIN Distance en variation et conditions de contiguité pour des lois de processus ponctuels. Séminaire de Probabilités de l'Université de Rennes, 1981/82.

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  5. YU.M. KABANOV, R.S. LIPTSER, A.N. SHIRYAYEV: Convergence faible et forte des lois de processus de comptage (en russe). Teoriya veroyatnostei 28, 288–319 (1983).

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Des modèles pareils, unidimensionnels, sont présentés en

  1. T. HARRIS Diffusion with "collision" between particles. J. appl. Prob. 2, 323–338 (1965).

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  2. R.L. DOBRUSHIN, YU M. SUKHOV: The asymptotics for some degenerate models of evolution of systems with an infinite number of particles. J. Sov. Math. 16, 1277–1340 (1981). Ch. 7.

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Une introduction à la notion de la limite hydrodynamique se trouve dans l'article

  1. R.L. DOBRUSHIN, R. SIEGMUND-SCHULTZE: The hydrodynamic limit for systems of particles with independent motion. Math. Nachr. 105, 199–224 (1982).

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Authors and Affiliations

  1. Heidelberg

    Hermann Rost

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  1. Hermann Rost
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J. Azéma M. Yor

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© 1984 Springer-Verlag

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Rost, H. (1984). Diffusion de spheres dures dans la droite reelle : comportement macroscopique et equilibre local. In: Azéma, J., Yor, M. (eds) Séminaire de Probabilités XVIII 1982/83. Lecture Notes in Mathematics, vol 1059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100037

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  • DOI: https://doi.org/10.1007/BFb0100037

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13332-2

  • Online ISBN: 978-3-540-38858-6

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