Flots browniens isotropes sur la sphère
Raimond, Olivier
Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999), p. 313-354 / Harvested from Numdam
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Publié le : 1999-01-01
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     author = {Raimond, Olivier},
     title = {Flots browniens isotropes sur la sph\`ere},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {35},
     year = {1999},
     pages = {313-354},
     mrnumber = {1689878},
     zbl = {0924.60028},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIHPB_1999__35_3_313_0}
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Raimond, Olivier. Flots browniens isotropes sur la sphère. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) pp. 313-354. http://gdmltest.u-ga.fr/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 495836 | Zbl 0471.22021

[2] P. Baxendale, The Lyapunov spectrum of a stochastic flow of diffeomorphisms, Lecture Notes 1186, Springer, 1986. | MR 850087 | Zbl 0592.60047

[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 1187984 | Zbl 0762.60044

[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 866340 | Zbl 0606.60014

[6] A. Carverhill, Lyapunov exponents for stochastic flows on manifolds, Lecture Notes 1186, Springer, 1986. | MR 850085 | Zbl 0602.58053

[7] R.W.R. Darling, Isotropic Stochastic Flows : a survey, in Diffusion processes and related problems in analysis, vol. 2, Birkhäuser, Boston, 1992. | MR 1187986 | Zbl 0751.60058

[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 145455 | Zbl 0111.18101

[10] H. Kunita, Stochastic flows and stochastic differential equations, Cambridge university press, 1990. | MR 1070361 | Zbl 0743.60052

[11] N. Ikeda et S. Watanabe, Stochastic differential equations and diffusion processes, North Holland, 1981. | MR 637061 | Zbl 0495.60005

[12] F. Ledrappier, Cours à l'Ecole d'Eté de Saint-Flour, Lecture Notes 1097, Springer, 1982. | Zbl 0578.60029

[13] Y. Le Jan, On isotropic Brownian motions, Zeit. fur Wahrsch., vol. 70, 1985, p. 609-620. | MR 807340 | Zbl 0576.60072

[14] Y. Le Jan et S. Watanabe, Stochastic flows of diffeomorphisms, Proceedings of the Taniguchi Symposium 1982, North-Holland 1984. | MR 780763 | Zbl 0552.60062

[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 243143 | Zbl 0172.18405

[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 1488158 | Zbl 1024.20501

[19] M.I. Yadrenko, Spectral theory of random fields, Optimization software Inc., N.Y, 1983. | MR 697386 | Zbl 0539.60048

[20] A.M. Yaglom, Second order homogeneous random fields, 4th Berkeley symposium, vol. 2, 1961, p. 593-622. | MR 146880 | Zbl 0123.35001

[21] A.M. Yaglom, Correlation theory and related random functions, Springer-Verlag, 1987. | Zbl 0685.62077

[22] K. Yosida, Functional analysis, Springer, 1965. | MR 180824 | Zbl 0126.11504

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