@article{AIHPB_1997__33_2_223_0, author = {Le Page, \'Emile and Peign\'e, Marc}, title = {A local limit theorem on the semi-direct product of $\mathbb {R}^{*+}$ and $\mathbb {R}^d$}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {33}, year = {1997}, pages = {223-252}, mrnumber = {1443957}, zbl = {0881.60018}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1997__33_2_223_0} }
Le Page, Émile; Peigné, Marc. A local limit theorem on the semi-direct product of $\mathbb {R}^{*+}$ and $\mathbb {R}^d$. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) pp. 223-252. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_2_223_0/
[1] On a maximum of a transient random walk in random environment, Theory Prob. Appl., Vol. 35, n° 2, 1987, pp. 205-215. | MR 1069119 | Zbl 0725.60074
,[2] The random difference equation Xn = AnXn-1 + Bn in the critical case, to appear in Annals of Probability. | Zbl 0873.60045
, and ,[3] Limit theorem in fluctuation theory, Adv. Appl. Prob., Vol. 5, 1973, pp. 554-569. | MR 348843 | Zbl 0273.60066
,[4] Théorème central limite local sur certains groupes de Lie, Ann. Scient. Ec. Norm. Sup., 4e série, T. 14, 1981, pp. 403-432. | Numdam | MR 654204 | Zbl 0488.60013
,[5] Exemples de théorèmes locaux sur les groupes résolubles, Ann. I.H.P., Vol. XIX, n° 4, 1983, pp. 369-391. | Numdam | MR 730116 | Zbl 0533.60010
,[6] Probability, Addison-Wesley Publishing Company, 1964. | MR 229267 | Zbl 0174.48801
,[7] Marches aléatoires: théorie du renouvellement, Thèse de Doctorat d'État, Université Paris VII, 1981.
,[8] An introduction to probability theory and its applications, Vol. 2, 2nd edition, 1971, J. Wiley, New York. | MR 270403 | Zbl 0219.60003
,[9] Translation-invariant cones of functions on semi-simple Lie groups, Bull. of the A.M.S, Vol. 71, n° 2, 1965, pp. 271-326. | MR 177062 | Zbl 0178.16901
,[10] A central limit theorem for the group of linear transformation of the real axis, Soviet Math. Doklady, Vol. 15, n° 6, 1974, pp. 1512-1515. | Zbl 0326.60021
,[11] Théorèmes quotients pour les marches aléatoires, Astérisque, Vol. 74, 1980, S.M.F., pp. 15-28. | MR 588155 | Zbl 0448.60006
,[12] Sur la probabilité de survie d'un processus de branchement dans un environnement aléatoire (in preparation).
et ,[13] Random walks with negative drift conditioned to stay positive, J. Appl Prob., Vol. 11, 1974, pp. 742-751. | MR 368168 | Zbl 0302.60038
,[14] On the asymptotic behavior of the probability of non-extinction for critical branching processes in a random environment, Theory Prob. Appl., Vol. 21, n° 4, 1976, pp. 791-804. | MR 428492 | Zbl 0384.60058
,[15] Exemples de théorèmes locaux pour certains noyaux de transition, Journées Fortet du 1er juin 1995, to appear in Editions Hermès. | MR 1681639 | Zbl pre02096680
and ,[16] Principles of random walks, D. Van Nostrand Company, 1964. | Zbl 0119.34304
,[17] Wiener-Hopf theory and nonunimodular groups, J. of Funct. Anal., Vol. 120, 1994, pp. 467-483. | MR 1266317 | Zbl 0849.22008
,[18] Diffusion on Lie groups, Can. J. Math., Vol. 46, 1994, pp. 438-448. | MR 1271225 | Zbl 0845.22006
,[19] Analysis and geometry groups, Cambridge Tracts in Math., n° 100, 1993. | MR 1218884 | Zbl pre05521653
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