@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}, pages = {223--252}, publisher = {Gauthier-Villars}, volume = {33}, number = {2}, year = {1997}, mrnumber = {1443957}, zbl = {0881.60018}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1997__33_2_223_0/} }
TY - JOUR AU - Le Page, Émile AU - Peigné, Marc TI - A local limit theorem on the semi-direct product of $\mathbb {R}^{*+}$ and $\mathbb {R}^d$ JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1997 SP - 223 EP - 252 VL - 33 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1997__33_2_223_0/ LA - en ID - AIHPB_1997__33_2_223_0 ER -
%0 Journal Article %A Le Page, Émile %A Peigné, Marc %T A local limit theorem on the semi-direct product of $\mathbb {R}^{*+}$ and $\mathbb {R}^d$ %J Annales de l'I.H.P. Probabilités et statistiques %D 1997 %P 223-252 %V 33 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1997__33_2_223_0/ %G en %F 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, Volume 33 (1997) no. 2, pp. 223-252. http://archive.numdam.org/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 | Zbl
,[2] The random difference equation Xn = AnXn-1 + Bn in the critical case, to appear in Annals of Probability. | Zbl
, and ,[3] Limit theorem in fluctuation theory, Adv. Appl. Prob., Vol. 5, 1973, pp. 554-569. | MR | Zbl
,[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 | Zbl
,[5] Exemples de théorèmes locaux sur les groupes résolubles, Ann. I.H.P., Vol. XIX, n° 4, 1983, pp. 369-391. | Numdam | MR | Zbl
,[6] Probability, Addison-Wesley Publishing Company, 1964. | MR | Zbl
,[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 | Zbl
,[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 | Zbl
,[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
,[11] Théorèmes quotients pour les marches aléatoires, Astérisque, Vol. 74, 1980, S.M.F., pp. 15-28. | Numdam | MR | Zbl
,[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 | Zbl
,[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 | Zbl
,[15] Exemples de théorèmes locaux pour certains noyaux de transition, Journées Fortet du 1er juin 1995, to appear in Editions Hermès. | MR
and ,[16] Principles of random walks, D. Van Nostrand Company, 1964. | Zbl
,[17] Wiener-Hopf theory and nonunimodular groups, J. of Funct. Anal., Vol. 120, 1994, pp. 467-483. | MR | Zbl
,[18] Diffusion on Lie groups, Can. J. Math., Vol. 46, 1994, pp. 438-448. | MR | Zbl
,[19] Analysis and geometry groups, Cambridge Tracts in Math., n° 100, 1993. | MR
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