@article{SPS_1989__23__275_0, author = {Barlow, Martin T. and Pitman, Jim and Yor, Marc}, title = {On {Walsh's} brownian motions}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, pages = {275--293}, publisher = {Springer - Lecture Notes in Mathematics}, volume = {23}, year = {1989}, mrnumber = {1022917}, zbl = {0747.60072}, language = {fr}, url = {http://archive.numdam.org/item/SPS_1989__23__275_0/} }
TY - JOUR AU - Barlow, Martin T. AU - Pitman, Jim AU - Yor, Marc TI - On Walsh's brownian motions JO - Séminaire de probabilités de Strasbourg PY - 1989 SP - 275 EP - 293 VL - 23 PB - Springer - Lecture Notes in Mathematics UR - http://archive.numdam.org/item/SPS_1989__23__275_0/ LA - fr ID - SPS_1989__23__275_0 ER -
Barlow, Martin T.; Pitman, Jim; Yor, Marc. On Walsh's brownian motions. Séminaire de probabilités de Strasbourg, Volume 23 (1989), pp. 275-293. http://archive.numdam.org/item/SPS_1989__23__275_0/
[BwPY1] Une extension multidimensionelle de la loi de l'arc sinus. In this volume. | Numdam | Zbl
, and (1989).[BwPY2] Some extensions of the arcsine law. Tech. Report # 189, Dept. Statistics, U.C. Berkeley.
, and (1989).[BC] The equivalence of diffusions on networks to Brownian motion. Contemp. Math. 26, 33-47. | MR | Zbl
and (1984).[ByPY] Some asymptotic laws for crossings and excursions. Colloque Paul Lévy sur les Processus Stochastiques, Astérisque 157-158, 59-74. | Numdam | MR | Zbl
, and (1989).[DV] The multiplicity of an increasing family of σ-fields. Ann. Prob. 2, 958-963. | MR | Zbl
and (1974).[E] A propos de la formule d'Azéma-Yor. Sém. Prob. XIII. Lecture Notes in Math. 721, Springer, 443-452. | Numdam | MR
[FD] Random motion on binary trees. J. Appl. Prob. 21 58-69. | MR | Zbl
and (1984).[HS] On skew Brownian motion. Ann. Prob. 9, 309-313. | MR | Zbl
and (1981).[I] Poisson point processes attached to Markov processes. Proc. Sixth Berkeley Symp. Math. Statist. Prob.University of California Press, Berkeley, pp. 225-239. | MR | Zbl
[J] A general theorem of representation for martingales. Z. Wahrscheinlichkeitstheorie verw. Gebeite 34, 225-244. | MR | Zbl
(1976).[Je] Semi-Martingales et Grossissement d'une Filtration. Lecture Notes in Math. 833, Springer-Verlag. | MR | Zbl
(1980).[L] Applications du temps local aux équations différentielles stochastiques unidimensionelles. Sém. Prob. XVII. Lecture Notes in Math. 986, Springer-Verlag, 15-31. | Numdam | MR | Zbl
(1983).[LY] Etude asymptotique de certains mouvements browniens complexes avec drift. Probability and Related Fields , 71, 183-229 | MR | Zbl
and (1986).[LR] Coupling of multidimensional diffusions by reflection. Ann. Prob. 14, 860-872. | MR | Zbl
and (1986).[MSY] Sur une formule de la théorie du balayage. Sém. Prob. XIII. Lecture Notes in Math. 721, Springer-Verlag, 478-487. | Numdam | MR | Zbl
, and (1979).[M] Germ sigma fields and the natural state space of a Markov process. Z. Wahrscheinlichkeitstheorie verw. Gebeite 39, 85-101. | MR | Zbl
(1977).[N] On the pathwise uniqueness of solutions of stochastic differential equations. Osaka J. Math. 9, 513-518. | MR | Zbl
(1972).[PY] Asymptotic laws of planar Brownian motion. Ann. Prob.14, 733-779. | MR | Zbl
and (1986a).[R] Itô excursion theory via resolvents. Z. Wahrscheinlichkeitstheorie verw. Gebeite 63, 237-255. | MR | Zbl
(1983).[S] Construction of right processes from excursions. Z. Wahrscheinlichkeitstheorie verw. Gebeite 73, 351-367. | MR | Zbl
(1986).[Sk] Random processes in infinite dimensional spaces (in Russian). Proceedings of the International Congress of Mathematicians: August 3-11, 1986, Berkeley [edited by Andrew M. Gleason]. American Mathematical Society, Providence, R.I., 163-171. | MR | Zbl
(1987).[St] Sur un théorème de H. J. Engelbert et J. Hess. Stochastics 6, 73-77. | MR | Zbl
(1981).[SY] On extremal solutions of martingale problems. Ann. Scient. E.N.S., 4ième série, 13, 95-164. | Numdam | MR | Zbl
and (1980).[V] Long range estimates for Markov Chains. Bull. Sci. Math. 109, 225-252. | MR | Zbl
(1985).[VW] Stochastic processes and point processes of excursions. Ph.D. Thesis, Technische Universiteit Delft.
(1987).[W] A diffusion with a discontinuous local time. In: Temps Locaux, Astérisque 52-53, 37-45. | Numdam
(1978).[Wei] Exchanging the order of taking suprema and countable intersection of sigma algebras. Ann. Inst. H. Poincaré 19, 91-100. | Numdam | MR | Zbl
(1983).[Y0] Sous-espaces denses dans L1 ou H1 et représentation des martingales. Sém. Prob. XII, Lecture Notes in Math. 649, Springer, 265-309. | Numdam | MR | Zbl
(1978).[Y1] Sur le balayage des semi-martingales continues. Sém. Prob. XIII. Lecture Notes in Math. 721, Springer-Verlag, 453-171. | Numdam | MR | Zbl
(1979).[Y2] Sur les martingales continues extrémales. Stochastics 2, 191-196. | MR | Zbl
(1979).