@article{AIHPB_2000__36_4_407_0,
author = {Barral, Julien},
title = {Differentiability of multiplicative processes related to branching random walks},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {407--417},
year = {2000},
publisher = {Gauthier-Villars},
volume = {36},
number = {4},
mrnumber = {1785388},
zbl = {0977.60077},
language = {en},
url = {https://www.numdam.org/item/AIHPB_2000__36_4_407_0/}
}
TY - JOUR AU - Barral, Julien TI - Differentiability of multiplicative processes related to branching random walks JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2000 SP - 407 EP - 417 VL - 36 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_2000__36_4_407_0/ LA - en ID - AIHPB_2000__36_4_407_0 ER -
%0 Journal Article %A Barral, Julien %T Differentiability of multiplicative processes related to branching random walks %J Annales de l'I.H.P. Probabilités et statistiques %D 2000 %P 407-417 %V 36 %N 4 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_2000__36_4_407_0/ %G en %F AIHPB_2000__36_4_407_0
Barral, Julien. Differentiability of multiplicative processes related to branching random walks. Annales de l'I.H.P. Probabilités et statistiques, Tome 36 (2000) no. 4, pp. 407-417. https://www.numdam.org/item/AIHPB_2000__36_4_407_0/
[1] , Martingale convergence in the branching random walk, J. Appl. Probab. 14 (1977) 25-37. | Zbl | MR
[2] , Growth rates in the branching random walk, Z. Wahrsch. Verw. Gebiete 48 (1979) 17-34. | Zbl | MR
[3] , Uniform convergence of martingales in the one-dimensional branching random walk, in: I.V. Basawa, R.L. Taylor (Eds.), Selected Proceedings of the Sheffield Symposium on Applied Probability, 1989, IMS Lectures Notes- Monograph Series, Vol. 18,1991, pp. 159-173. | Zbl | MR
[4] , Uniform convergence of martingales in the branching random walk, Ann. Probab. 20 (1992) 137-151. | Zbl | MR
[5] , , Fixed points of the smoothing transformation, Z. Wahrsch. Verw. Gebiete 64 (1983) 275-301. | Zbl | MR
[6] , , , Sur la loi des grands nombres pour les variables aléatoires de Bernouilli attachées à un arbre dyadique, C. R. Acad. Sci. Paris 278 (1973) 963-964. | Zbl | MR
[7] , , Sur certaines martingales de Benoit Mandelbrot, Adv. Math. 22 (1976) 131-145. | Zbl | MR
[8] , The first birth problem for an age-dependent branching process, Ann. Probab. 3 (1975) 790-801. | Zbl | MR
[9] , Sur une équation fonctionnelle et ses applications: une extension du théorème de Kesten-Stigum concernant des processus de branchement, Adv. Appl. Probab. 29 (2) (1997) 353-373. | Zbl | MR
[10] , Self-similar cascades and the branching random walk, Preprint, Univ. Rennes 1, 1997.
[11] , A simple path to Biggins' martingale convergence, in: K.B. Athreya, P. Jagers (Eds.), Classical and Modem Branching Processes, IMA Volumes in Mathematics and its Applications, Vol. 84, Springer, Berlin, 1997, pp. 217-222. | Zbl | MR
[12] , Intermittent turbulence in self-similar cascades, divergence of hight moments and dimension of the carrier, J. Fluid. Mech. 62 (1974) 331-358. | Zbl
[13] , Multiplications aléatoires itérées et distributions invariantes par moyennes pondérées, C. R. Acad. Sci. Paris 278 (1974) 289-292, 355-358. | Zbl
[14] , Martingales à Temps Discret, Masson et Cie, Paris, 1972. | MR
[15] , , Smoothness and differentiability of functions, Annales Univ. Sci. Budapest. III-IV (1960-1961) 295-307. | Zbl | MR
[16] , Weak convergence of stochastic processes whoose trajectories have no discontinuity of the second kind and the "heuristic" approach to the Kolmogorov-Smirnov tests, Theory Probab. Appl. 1 (1956) 140-144.
[17] , , Inequalities for the rth absolute moment of sum of random variables, 1 ≤ r ≤ 2, Ann. Math. Statist. 36 (1965) 299-303. | Zbl | MR
[18] , Limit theorem for a class of branching processes, in: J. Chover (Ed.), Markov Processes and Potential Theory, Wiley, New York, 1967, pp. 205-232. | Zbl | MR






