@article{AIHPB_1993__29_2_269_0, author = {Arnaudon, Marc}, title = {Semi-martingales dans les espaces homog\`enes}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {269--288}, publisher = {Gauthier-Villars}, volume = {29}, number = {2}, year = {1993}, mrnumber = {1227420}, zbl = {0779.60045}, language = {fr}, url = {http://www.numdam.org/item/AIHPB_1993__29_2_269_0/} }
Arnaudon, Marc. Semi-martingales dans les espaces homogènes. Annales de l'I.H.P. Probabilités et statistiques, Tome 29 (1993) no. 2, pp. 269-288. http://www.numdam.org/item/AIHPB_1993__29_2_269_0/
[E] Stochastic Calculus in Manifolds, Springer Verlag, 1989. | MR | Zbl
,[HD, L] L'exponentielle stochastique des groupes de Lie, Séminaire de Probabilités 20, Lecture Notes in Math., 1204, 1986, p. 352-374. | Numdam | MR | Zbl
et ,[H] Differential geometry, Lie groups and symmetric spaces, Academic Press, 1978. | MR | Zbl
,[M, M] P. et Factorisation et lois limites de la diffusion horizontale au-dessus d'un espace riemannien symétrique, Lecture Note, 404, p. 164-217. | Zbl
,[N] Invariant affine connections on homogeneous spaces, Amer. J. Math., vol. 76, 1954, p. 33-65 (MR 15, 468). | MR | Zbl
,[O] On random ellipsoids, J. Fac. Sci. Univ. Tokyo Sect. lA, Math., 17, 1970, p. 73-85. | MR | Zbl
,[T1] The Iwasawa decomposition and the limiting behaviour of brownian motion on a symmetric space of non-compact type, Contemporary Mathematics, 73, 1988, p. 303-332. | MR | Zbl
,[T2] Brownian motion on a symmetric space of non-compact type: asymptotic behaviour in polar coordinates, Canadian J. of Mathematics, vol. 43 (5), 1991, pp. 1065-1085. | MR | Zbl
,