Flots browniens isotropes sur la sphère

Olivier Raimond

Annales de l'I.H.P. Probabilités et statistiques (1999)

  • Volume: 35, Issue: 3, page 313-354
  • ISSN: 0246-0203

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Raimond, Olivier. "Flots browniens isotropes sur la sphère." Annales de l'I.H.P. Probabilités et statistiques 35.3 (1999): 313-354. <http://eudml.org/doc/77631>.

@article{Raimond1999,
author = {Raimond, Olivier},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {isotropic Brownian flows; isotropic Gaussian vector field; Lyapunov exponents of the flow},
language = {fre},
number = {3},
pages = {313-354},
publisher = {Gauthier-Villars},
title = {Flots browniens isotropes sur la sphère},
url = {http://eudml.org/doc/77631},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Raimond, Olivier
TI - Flots browniens isotropes sur la sphère
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1999
PB - Gauthier-Villars
VL - 35
IS - 3
SP - 313
EP - 354
LA - fre
KW - isotropic Brownian flows; isotropic Gaussian vector field; Lyapunov exponents of the flow
UR - http://eudml.org/doc/77631
ER -

References

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  1. [1] A.O. Barut et R. Raczka, Theory of group representation and its applications, PWN, Polish scientific publishers, 1977. Zbl0471.22021MR495836
  2. [2] P. Baxendale, The Lyapunov spectrum of a stochastic flow of diffeomorphisms, Lecture Notes 1186, Springer, 1986. Zbl0592.60047MR850087
  3. [3] P. Baxendale, Stability and equilibrium properties of stochastic flows of diffeomorphisms, in Diffusion processes and related problems in analysis, vol. 2, Birkhäuser, Boston, 1992. Zbl0762.60044MR1187984
  4. [4] P. Baxendale, Exposé à l'université P. et M. Curie (notes manuscrites), 1986. 
  5. [5] P. Baxendale et T.E. Harris, Isotropic stochastic flows, Annals of probability, vol. 14, 1986, p. 1155-1179. Zbl0606.60014MR866340
  6. [6] A. Carverhill, Lyapunov exponents for stochastic flows on manifolds, Lecture Notes1186, Springer, 1986. Zbl0602.58053MR850085
  7. [7] R.W.R. Darling, Isotropic Stochastic Flows : a survey, in Diffusion processes and related problems in analysis, vol. 2, Birkhäuser, Boston, 1992. Zbl0751.60058MR1187986
  8. [8] I.M. Gelfand, R.A. Minlos et Z.Ya. Sapiro, Representations of the rotationnal group and of the Lorentz group, McMillan, 1963. 
  9. [9] S. Helgason, Differential geometry and symetric spaces, Academic Press, 1962. Zbl0111.18101MR145455
  10. [10] H. Kunita, Stochastic flows and stochastic differential equations, Cambridge university press, 1990. Zbl0743.60052MR1070361
  11. [11] N. Ikeda et S. Watanabe, Stochastic differential equations and diffusion processes, North Holland, 1981. Zbl0495.60005MR637061
  12. [12] F. Ledrappier, Cours à l'Ecole d'Eté de Saint-Flour, Lecture Notes1097, Springer, 1982. Zbl0578.60029
  13. [13] Y. Le Jan, On isotropic Brownian motions, Zeit. fur Wahrsch., vol. 70, 1985, p. 609-620. Zbl0576.60072MR807340
  14. [14] Y. Le Jan et S. Watanabe, Stochastic flows of diffeomorphisms, Proceedings of the Taniguchi Symposium1982, North-Holland1984. Zbl0552.60062MR780763
  15. [15] O. Raimond, Flots stochastiques isotropes et diffusions auto-attractives, Thèse, université Paris-sud, 1994. 
  16. [16] N.Ja. Vilenkin, Fonctions spéciales et théorie de la représentation des groupes, Paris, Dunod, 1969. Zbl0172.18405MR243143
  17. [17] N.Ja. Vilenkin et A.V. Klimyk, Representation of Lie groups and special functions, London, Kluwer, 1992. Zbl0778.22001
  18. [18] H. Weyl, The classical groups - Their invariants and representations, Princeton university press, 1946. Zbl1024.20501MR1488158
  19. [19] M.I. Yadrenko, Spectral theory of random fields, Optimization software Inc., N.Y, 1983. Zbl0539.60048MR697386
  20. [20] A.M. Yaglom, Second order homogeneous random fields, 4th Berkeley symposium, vol. 2, 1961, p. 593-622. Zbl0123.35001MR146880
  21. [21] A.M. Yaglom, Correlation theory and related random functions, Springer-Verlag, 1987. Zbl0685.62077
  22. [22] K. Yosida, Functional analysis, Springer, 1965. Zbl0126.11504MR180824
  23. [23] P.P. Zebolenko, Compact Lie groups and their applications, A.M.S. translations, 1973. 

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