@article{SPS_1998__32__328_0,
author = {Warren, Jonathan and Yor, Marc},
title = {The brownian burglar : conditioning brownian motion by its local time process},
journal = {S\'eminaire de probabilit\'es},
pages = {328--342},
year = {1998},
publisher = {Springer - Lecture Notes in Mathematics},
volume = {32},
mrnumber = {1655303},
zbl = {0924.60072},
language = {en},
url = {https://www.numdam.org/item/SPS_1998__32__328_0/}
}
TY - JOUR AU - Warren, Jonathan AU - Yor, Marc TI - The brownian burglar : conditioning brownian motion by its local time process JO - Séminaire de probabilités PY - 1998 SP - 328 EP - 342 VL - 32 PB - Springer - Lecture Notes in Mathematics UR - https://www.numdam.org/item/SPS_1998__32__328_0/ LA - en ID - SPS_1998__32__328_0 ER -
%0 Journal Article %A Warren, Jonathan %A Yor, Marc %T The brownian burglar : conditioning brownian motion by its local time process %J Séminaire de probabilités %D 1998 %P 328-342 %V 32 %I Springer - Lecture Notes in Mathematics %U https://www.numdam.org/item/SPS_1998__32__328_0/ %G en %F SPS_1998__32__328_0
Warren, Jonathan; Yor, Marc. The brownian burglar : conditioning brownian motion by its local time process. Séminaire de probabilités, Tome 32 (1998), pp. 328-342. https://www.numdam.org/item/SPS_1998__32__328_0/
[1] . Remarques sur les semi-groupes de Jacobi. In Hommage à P.A. Meyer et J. Neveu. Asterisque 236, pages 23-40. Soc. Math. France, 1996. | Zbl | MR | Numdam
[2] , , and . Un processus qui ressemble au pont brownien. In Séminaire de Probabilités XXI, Lecture notes in Mathematics 1247, pages 270-275. Springer, 1987. | Zbl | MR | Numdam
[3] and . Sur la variation quadratique des temps locaux de certaines semimartingales. Comptes Rendus Acad. Sci., Paris, 292:491-494, 1981. | Zbl | MR
[4] , , and . Ergodic theory. Springer-Verlag, Berlin, 1982. | Zbl | MR
[5] . Measure-valued Markov processes. In Ecole d'Eté de Probabilitiés de Saint-Flour, 1991, Lecture Notes in Mathematics 1541. Springer, Berlin, 1993. | Zbl | MR
[6] and . Interest rate model with upper and lower bounds. Preprint, 1996.
[7] and . A note on superprocesses. Probability Theory and Related Fields, 89:141-147, 1991. | Zbl | MR
[8] and . Markov processes: characterization and convergence. Wiley, New York, 1986. | Zbl | MR
[9] and . A second course in stochastic processes. Academic Press, New York, 1981. | Zbl | MR
[10] . Diffusion models in population genetics. Journal of Applied Probability, 1:177-232, 1964. | Zbl | MR
[11] . Classification des semigroupes de diffusion sur R associés à une famille de polynomes orthogonaux. In Séminaire de Probabilités XXXI, Lecture notes in Mathematics 1655, pages 40-53. Springer, Berlin, 1997. | Zbl | MR | Numdam
[12] . Introduction to probability and measure. Macmillan, London, 1977. | Zbl
[13] and . Sur une décomposition des ponts de Bessel. In Functional analysis in Markov processes, Lecture notes in Mathematics 923, pages 276-285. Springer, Berlin, 1982. | Zbl | MR
[14] and . Decomposition at the maximum for excursions and bridges of one-dimensional diffusions. In M. Fukushima, N. Ikeda, H. Kunita, and S. Watanabe, editors, Itô's stochastic calculus and probability theory, pages 293-310. Springer, 1996. | Zbl | MR
[15] and . Continuous martingales and Brownian motion. Springer, Berlin, 1991. | Zbl | MR
[16] . Selected topics in the metric theory of dynamical systems. American Mathematical Society Translations Series 2, 49:171-240, 1966. | Zbl
[17] and . Multiplicativité du processus gamma et étude asymptotique des lois stables d'indice α, lorsque α tend vers 0. Technical Report 289, Laboratoire de Probabilités, Université Pierre et Marie Curie, Paris, 1995.
[18] and . Skew-products involving Bessel and Jacobi processes. Technical report, Statistics group, University of Bath, 1997.






