Some calculations for perturbed brownian motion
Séminaire de probabilités de Strasbourg, Volume 32 (1998), p. 231-236
@article{SPS_1998__32__231_0,
     author = {Doney, Ron A.},
     title = {Some calculations for perturbed brownian motion},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {32},
     year = {1998},
     pages = {231-236},
     zbl = {0911.60067},
     mrnumber = {1655296},
     language = {en},
     url = {http://www.numdam.org/item/SPS_1998__32__231_0}
}
Doney, R.A. Some calculations for perturbed brownian motion. Séminaire de probabilités de Strasbourg, Volume 32 (1998) pp. 231-236. http://www.numdam.org/item/SPS_1998__32__231_0/

[1] J. Azéma and M. Yor. Une solution simple au problème de Skorokhod. Sém. de Prob. XIII, Lecture notes in Mathematics, 721, 90-115, Springer, 1978. | Numdam | MR 544782 | Zbl 0414.60055

[2] P. Carmona, F. Petit, and M. Yor. Some extensions of the arc-sine law as (partial) consequences of the scaling property of Brownian motion. Prob. Th. and Rel. Fields, 100, 1-29, 1994. | MR 1292188 | Zbl 0808.60066

[3] P. Carmona, F. Petit, and M. Yor. Beta variables as the time spent in [0, ∞) by certain perturbed Brownian motions. J.London Math. Soc.,(to appear,1997). | MR 1670130 | Zbl 0924.60067

[4] L. Chaumont and R.A. Doney. Applications of a path decomposition for doubly perturbed Brownian motion. Preprint, 1997.

[5] B. Davis. Weak limits of perturbed random walks and the equation Yt = Bt + α sups≤tYs + β infs≤tYs. Ann. Prob. 24, 2007-2017, 1996. | Zbl 0870.60076

[6] R.A. Doney, J. Warren, and M. Yor. Perturbed Bessel processes. This volume. | Numdam | Zbl 0924.60039

[7] F. Petit. Sur les temps passé par le mouvement brownien au dessus d'un multiple de son supremum, et quelques extensions de la loi de l'arcsinus. Thèse de doctorat de l'université Paris 7, 1992.

[8] M. Perman and W. Werner. Perturbed Brownian motions. Prob. Th. and Rel. Fields, 108, 357-383, 1997. | MR 1465164 | Zbl 0884.60082

[9] D. Revuz and M. Yor. Continuous Martingales and Brownian Motion. .Springer-Verlag , Berlin, 1991. | MR 1083357 | Zbl 0731.60002

[10] W. Werner. Some remarks on perturbed Brownian motion. Sém. de Prob., Lecture notes in Mathematics, 1613, 37-42, Springer, 1995. | Numdam | MR 1459447 | Zbl 0835.60072

[11] M. Yor.Some aspects of Brownian motion, part I; some special functionals.Lectures in Mathematics, Birkhäuser, ETH Zürich, 1992. | MR 1193919 | Zbl 0779.60070