@article{SPS_1997__31__1_0, author = {Warren, Jonathan}, title = {Branching processes, the Ray-Knight theorem, and sticky brownian motion}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, volume = {31}, year = {1997}, pages = {1-15}, mrnumber = {1478711}, zbl = {0884.60081}, language = {fr}, url = {http://dml.mathdoc.fr/item/SPS_1997__31__1_0} }
Warren, Jonathan. Branching processes, the Ray-Knight theorem, and sticky brownian motion. Séminaire de probabilités de Strasbourg, Tome 31 (1997) pp. 1-15. http://gdmltest.u-ga.fr/item/SPS_1997__31__1_0/
[1] Sticky Brownian motion as the strong limit of a sequence of random walks. Stochastic Processes and their Applications, 39:221-237, 1991. | MR 1136247 | Zbl 0744.60097
.[2] On the nonexistence of a strong solution in the boundary problem for a sticky Brownian motion. Technical Report BS-R8901, Centre for Mathematics and Computer Science, Amsterdam, 1989.
.[3] On boundaries and lateral conditions for the Kolmogorov equations. Annals of Mathematics, Series 2, 65:527-570, 1957. | MR 90928 | Zbl 0084.35503
.[4] Sticky Brownian motion as the limit of storage processes. Journal of Applied Probability, 18:216-226, 1981. | MR 598937 | Zbl 0453.60072
and .[5] Stochastic Differential Equations and Diffusion Processes. North Holand-Kodansha, Amsterdam and Tokyo, 1981. | MR 637061 | Zbl 0495.60005
and .[6] Essentials of Brownian motion and Diffusion, volume 18 of Mathematical Surveys. American Mathematical Society, Providence, Rhode-Island, 1981. | MR 613983 | Zbl 0458.60002
.[7] Cours de troisième cycle, Laboratoire de Probabilités, Paris 6. 1994.
[8] A decomposition of Bessel bridges. Zeitschrift für Wahrscheinlichkeitstheorie, 59:425-457, 1982. | MR 656509 | Zbl 0484.60062
and .[9] Continuous martingales and Brownian motion. Springer, Berlin, 1991. | MR 1083357 | Zbl 0731.60002
and .[10] Diffusions, Markov processes and Martingales, vol 2: Itô calculus. Wiley, New York, 1987. | MR 921238 | Zbl 0627.60001
and .[11] Bessel diffusions as a one-parameter family of diffusion processes. Zeitschrift für Wahrscheinlichkeitstheorie, 27:37-46, 1973. | MR 368192 | Zbl 0327.60047
and .[12] Reflecting or sticky Markov processes with Lévy generators as the limit of storage processes. Stochastic Processes and their Applications, 52:135-164, 1994. | MR 1289173 | Zbl 0811.60067
.[13] Some remarks concerning sticky Brownian motion. Unpublished, 1989.
.[14] Some aspects of Brownian motion, part 1: Some special functionals. Birkhäuser, 1992. | MR 1193919 | Zbl 0779.60070
.