Marches de Bernoulli quantiques

Philippe Biane

Séminaire de probabilités de Strasbourg (1990)

  • Volume: 24, page 329-344

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Biane, Philippe. "Marches de Bernoulli quantiques." Séminaire de probabilités de Strasbourg 24 (1990): 329-344. <http://eudml.org/doc/113725>.

@article{Biane1990,
author = {Biane, Philippe},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {quantum probability; non-commuting Bernoulli random walks; Clebsch-Gordan formulae},
language = {fre},
pages = {329-344},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Marches de Bernoulli quantiques},
url = {http://eudml.org/doc/113725},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Biane, Philippe
TI - Marches de Bernoulli quantiques
JO - Séminaire de probabilités de Strasbourg
PY - 1990
PB - Springer - Lecture Notes in Mathematics
VL - 24
SP - 329
EP - 344
LA - fre
KW - quantum probability; non-commuting Bernoulli random walks; Clebsch-Gordan formulae
UR - http://eudml.org/doc/113725
ER -

References

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  1. [1] L. Accardi, A. Frigerio, J.T. Lewis: Quantum stochastic processes. Publ. R.I.M.S. Kyoto Univ. 18 p97-133 (1982). Zbl0498.60099MR660823
  2. [2] J. Dixmier: Les C*-algèbres et leurs représentations. Gauthier-Villars, 1964. Zbl0152.32902MR171173
  3. [3] W. Feller: An introduction to Probability theory and its applications Vol IWiley1966. Zbl0155.23101MR210154
  4. [4] Y. Guivarc'h, M. Keane, B. Roynette: Marches aléatoiresLect. Notes in Math.Springer624 (1977). Zbl0367.60081MR517359
  5. [5] J.F. Le Gall: Une approche élémentaire des théorèmes de décomposition de Williams. Séminaire de probabilités XXLect. Notes in Math. Springer1204 p447-464 (1984/85). Zbl0604.60081MR942038
  6. [6] J.M. Lindsay, K.R. Parthasarathy: The passage from random walk to diffusion in quantum probability II. Preprint Indian Stat. Inst. New Delhi. Zbl0771.60056MR1056440
  7. [7] P.A. Meyer: Eléments de Probabilités quantiques. Séminaire de Probabilités XX, Lect. Notes in Math.Springer1204 p186-312 (1984/85) Zbl0604.60001MR942022
  8. [8] P.A. Meyer: Quantum Probabilities. Preprint Laboratoire de Probabilités, Université Paris6, (1989). Zbl0739.60051
  9. [9] M. Naimark, A. Stern: Théorie des représentations des groupes. Editions Mir, Moscou. Zbl0425.22001
  10. [10] J.W. Pitman: One dimensional Brownian Motion and the three-dimensional Bessel process. Adv. Appl. Probab.7, p511-526 (1975) Zbl0332.60055MR375485

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