Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion

Jacques Neveu; Jim Pitman

Séminaire de probabilités de Strasbourg (1989)

  • Volume: 23, page 239-247

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Neveu, Jacques, and Pitman, Jim. "Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion." Séminaire de probabilités de Strasbourg 23 (1989): 239-247. <http://eudml.org/doc/113677>.

@article{Neveu1989,
author = {Neveu, Jacques, Pitman, Jim},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {point process; Brownian motion; renewal process; critical Galton-Watson process},
language = {eng},
pages = {239-247},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion},
url = {http://eudml.org/doc/113677},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Neveu, Jacques
AU - Pitman, Jim
TI - Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion
JO - Séminaire de probabilités de Strasbourg
PY - 1989
PB - Springer - Lecture Notes in Mathematics
VL - 23
SP - 239
EP - 247
LA - eng
KW - point process; Brownian motion; renewal process; critical Galton-Watson process
UR - http://eudml.org/doc/113677
ER -

References

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  1. [B] Brox, Th. (1986). One dimensional diffusion processes in a Wiener medium. Ann. Proba.14, 1206-1218. Zbl0608.60072MR866343
  2. [K] Kesten, H. (1986). The limit distribution of Sinaï's walk in random environment. Physica138A, 299-309. Zbl0666.60065MR865247
  3. [M] Maisonneuve, B. (1975). Exit systems. Ann. Proba.3, 399-411. Zbl0311.60047MR400417
  4. [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. Zbl0439.60044MR474493
  5. [N2] Neveu, J. (1986). Erasing a branching tree. Supplement to Adv. Applied Proba., Papers in honour of G.E.H. Reuter, 101-108. Zbl0613.60078MR868511
  6. [NP*] Neveu, J. and Pitman, J.The branching process in a Brownian motion excursion. This volume. Zbl0741.60081
  7. [S] Sinai, Y.G. (1982). The limiting behavior of a one-dimensional random walk in a random medium. Theory Proba. Appl.27, 256-268. Zbl0505.60086MR657919
  8. [T] Tanaka, H. (1987). Limit theorem for one dimensional diffusion process in Brownian environment. Stochastic Analysis, Proc.Paris1987, Ed. Metivier-Watanabe. Lect. Notes in Math.1322, Springer, pp. 156-172. Zbl0662.60082MR962871
  9. [W] Walsh, J. (1978). Downcrossings and the Markov property of local time. In : Temps locaux. Astérisque 52-53, 89-115. Soc. Math.France. 

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