Flots browniens isotropes sur la sphère
Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 3, pp. 313-354. 
@article{AIHPB_1999__35_3_313_0,
     author = {Raimond, Olivier},
     title = {Flots browniens isotropes sur la sph\`ere},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {313--354},
     publisher = {Gauthier-Villars},
     volume = {35},
     number = {3},
     year = {1999},
     mrnumber = {1689878},
     zbl = {0924.60028},
     language = {fr},
     url = {http://www.numdam.org/item/AIHPB_1999__35_3_313_0/}
}
TY  - JOUR
AU  - Raimond, Olivier
TI  - Flots browniens isotropes sur la sphère
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1999
SP  - 313
EP  - 354
VL  - 35
IS  - 3
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPB_1999__35_3_313_0/
LA  - fr
ID  - AIHPB_1999__35_3_313_0
ER  - 
%0 Journal Article
%A Raimond, Olivier
%T Flots browniens isotropes sur la sphère
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1999
%P 313-354
%V 35
%N 3
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPB_1999__35_3_313_0/
%G fr
%F AIHPB_1999__35_3_313_0
Raimond, Olivier. Flots browniens isotropes sur la sphère. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 3, pp. 313-354. http://www.numdam.org/item/AIHPB_1999__35_3_313_0/

[1] A.O. Barut et R. Raczka, Theory of group representation and its applications, PWN, Polish scientific publishers, 1977. | MR | Zbl

[2] P. Baxendale, The Lyapunov spectrum of a stochastic flow of diffeomorphisms, Lecture Notes 1186, Springer, 1986. | MR | Zbl

[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. | MR | Zbl

[4] P. Baxendale, Exposé à l'université P. et M. Curie (notes manuscrites), 1986.

[5] P. Baxendale et T.E. Harris, Isotropic stochastic flows, Annals of probability, vol. 14, 1986, p. 1155-1179. | MR | Zbl

[6] A. Carverhill, Lyapunov exponents for stochastic flows on manifolds, Lecture Notes 1186, Springer, 1986. | MR | Zbl

[7] R.W.R. Darling, Isotropic Stochastic Flows : a survey, in Diffusion processes and related problems in analysis, vol. 2, Birkhäuser, Boston, 1992. | MR | Zbl

[8] I.M. Gelfand, R.A. Minlos et Z.Ya. Sapiro, Representations of the rotationnal group and of the Lorentz group, McMillan, 1963.

[9] S. Helgason, Differential geometry and symetric spaces, Academic Press, 1962. | MR | Zbl

[10] H. Kunita, Stochastic flows and stochastic differential equations, Cambridge university press, 1990. | MR | Zbl

[11] N. Ikeda et S. Watanabe, Stochastic differential equations and diffusion processes, North Holland, 1981. | MR | Zbl

[12] F. Ledrappier, Cours à l'Ecole d'Eté de Saint-Flour, Lecture Notes 1097, Springer, 1982. | Zbl

[13] Y. Le Jan, On isotropic Brownian motions, Zeit. fur Wahrsch., vol. 70, 1985, p. 609-620. | MR | Zbl

[14] Y. Le Jan et S. Watanabe, Stochastic flows of diffeomorphisms, Proceedings of the Taniguchi Symposium 1982, North-Holland 1984. | MR | Zbl

[15] O. Raimond, Flots stochastiques isotropes et diffusions auto-attractives, Thèse, université Paris-sud, 1994.

[16] N.Ja. Vilenkin, Fonctions spéciales et théorie de la représentation des groupes, Paris, Dunod, 1969. | MR | Zbl

[17] N.Ja. Vilenkin et A.V. Klimyk, Representation of Lie groups and special functions, London, Kluwer, 1992.

[18] H. Weyl, The classical groups - Their invariants and representations, Princeton university press, 1946. | MR | Zbl

[19] M.I. Yadrenko, Spectral theory of random fields, Optimization software Inc., N.Y, 1983. | MR | Zbl

[20] A.M. Yaglom, Second order homogeneous random fields, 4th Berkeley symposium, vol. 2, 1961, p. 593-622. | MR | Zbl

[21] A.M. Yaglom, Correlation theory and related random functions, Springer-Verlag, 1987. | Zbl

[22] K. Yosida, Functional analysis, Springer, 1965. | MR | Zbl

[23] P.P. Zebolenko, Compact Lie groups and their applications, A.M.S. translations, 1973.