Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion
Neveu, Jacques ; Pitman, Jim
Séminaire de probabilités de Strasbourg, Tome 23 (1989), p. 239-247 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{SPS_1989__23__239_0,
     author = {Neveu, Jacques and Pitman, Jim},
     title = {Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {23},
     year = {1989},
     pages = {239-247},
     mrnumber = {1022914},
     zbl = {0741.60080},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_1989__23__239_0}
}

Neveu, Jacques; Pitman, Jim. Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion. Séminaire de probabilités de Strasbourg, Tome 23 (1989) pp. 239-247. http://gdmltest.u-ga.fr/item/SPS_1989__23__239_0/

[B] Brox, Th. (1986). One dimensional diffusion processes in a Wiener medium. Ann. Proba. 14, 1206-1218. | MR 866343 | Zbl 0608.60072

[K] Kesten, H. (1986). The limit distribution of Sinaï's walk in random environment. Physica 138A, 299-309. | MR 865247 | Zbl 0666.60065

[M] Maisonneuve, B. (1975). Exit systems. Ann. Proba. 3, 399-411. | MR 400417 | Zbl 0311.60047

[N1] Neveu, J. (1977). Processus ponctuels in Ecole d'Eté de Probabilités de St Flour VI-1976, Lect. Notes in Math. 598, 249-447, Springer. | MR 474493 | Zbl 0439.60044

[N2] Neveu, J. (1986). Erasing a branching tree. Supplement to Adv. Applied Proba., Papers in honour of G.E.H. Reuter, 101-108. | MR 868511 | Zbl 0613.60078

[NP*] Neveu, J. and Pitman, J. The branching process in a Brownian motion excursion. This volume. | Numdam | Zbl 0741.60081

[S] Sinai, Y.G. (1982). The limiting behavior of a one-dimensional random walk in a random medium. Theory Proba. Appl. 27, 256-268. | MR 657919 | Zbl 0505.60086

[T] Tanaka, H. (1987). Limit theorem for one dimensional diffusion process in Brownian environment. Stochastic Analysis, Proc. Paris 1987, Ed. Metivier-Watanabe. Lect. Notes in Math. 1322, Springer, pp. 156-172. | MR 962871 | Zbl 0662.60082

[W] Walsh, J. (1978). Downcrossings and the Markov property of local time. In : Temps locaux. Astérisque 52-53, 89-115. Soc. Math. France.