@article{AIHPB_1993__29_2_199_0, author = {Burdzy, Krzysztof and Marshall, Donald E.}, title = {Non-polar points for reflected brownian motion}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {29}, year = {1993}, pages = {199-228}, mrnumber = {1227417}, zbl = {0773.60077}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1993__29_2_199_0} }
Burdzy, Krzysztof; Marshall, Donald E. Non-polar points for reflected brownian motion. Annales de l'I.H.P. Probabilités et statistiques, Tome 29 (1993) pp. 199-228. http://gdmltest.u-ga.fr/item/AIHPB_1993__29_2_199_0/
[1] Multidimensional Brownian Excursions and Potential Theorey, Longman, Harlow, Essex, 1987. | MR 932248 | Zbl 0691.60066
,[2] Geometric Properties of 2-Dimensional Brownian Paths, Probab. Th. Rel. Fields, Vol. 81, 1989, pp.485-505. | MR 995807 | Zbl 0667.60078
,[3] Hitting a Boundary Point with Reflected Brownian Motion, Séminaire de Probabilités, Vol. XXVI, Springer, New York, 1992 (to appear). | Numdam | MR 1231985 | Zbl 0782.60051
and ,[4] Estimates of Harmonic Meausre, Arch. Rat. Mech., Vol. 65, 1977, pp. 275-288. | MR 466593 | Zbl 0406.28009
,[5] On Brownian Slow Points, Z. Wahrsch. verw. Gebiete, Vol. 64, 1983, pp. 359- 367. | MR 716492 | Zbl 0506.60078
,[6] Classical Potential Theory and its Probabilistic Counterpart, Springer, New York, 1984. | MR 731258 | Zbl 0549.31001
,[7] Theory of Hp Spaces, Academic Press, New York, 1970. | MR 268655 | Zbl 0215.20203
,[8] Univalent Functions, Springer, New York, 1983. | MR 708494 | Zbl 0514.30001
,[9] L'enveloppe convexe du mouvement brownien, Thèse 3e cycle, Université Toulouse-III, 1983.
,[10] An Introduction to Probability Theory and Its Applications, vol. II, Wiley, New York, 1971. | MR 270403 | Zbl 0138.10207
,[11] Bounded Analytic Functions, Academic Press, New York, 1981. | MR 628971 | Zbl 0469.30024
,[12] Brownian Motion and Stochastic Calculus, Springer, New York, 1988. | MR 917065 | Zbl 0638.60065
and ,[13] A First Course in Stochastic Processes, 2nd ed., Academic Press, New York, 1975. | MR 356197 | Zbl 0315.60016
and ,[14] Mouvement brownien, cônes et processus stables, Probab. Th. Rel. Fields, Vol. 76, 1987, pp. 587-627. | MR 917681 | Zbl 0611.60076
,[15] Processus Stochastiques et Mouvement Brownien, Gauthier-Villars, Paris, 1948. | MR 190953 | Zbl 0034.22603
,[16] Boundary Behaviour of a Conformal Mapping, Acta Math., Vol. 123, 1969, pp. 43-67. | MR 257330 | Zbl 0222.30006
,[17] Periodic Extensions of Two-Dimensional Brownian Motion on the Half Plane, I, Kodai Math. J., Vol. 12, 1989, pp. 132-209. | MR 1002663 | Zbl 0704.60079
,[18] Periodic Extensions of Two-Dimensional Brownian Motion on the Half Plane, II, Kodai Math. J., Vol. 13, 1990, pp. 417-483. | MR 1078557 | Zbl 0805.60080
,[19] Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975. | MR 507768 | Zbl 0298.30014
,[20] Mesures associées aux fonctionnelles additives de Markov. I, Trans. Amer. Math. Soc., Vol. 148, 1970, pp. 501-531. | MR 279890 | Zbl 0266.60053
,[21] A Guided Tour Through Excursions, Bull. London Math. Soc., Vol. 21, 1989, pp. 305-341. | MR 998631 | Zbl 0689.60075
,[22] Brownian Motion in a Wedge with Variable Skew Reflection, Trans. Amer. Math. Soc., Vol. 326, 1991, pp. 227-236. | MR 1008701 | Zbl 0748.60074
,[23] Brownian Motion in a Wedge with Variable Skew Reflection: II, Diffusion Processes and Related Problems in Analysis, Birkhäuser, Boston, 1990, pp. 95-115. | MR 1110159 | Zbl 0719.60081
,[24] General Theory of Markov Processes, Academic Press, New York, 1988. | MR 958914 | Zbl 0649.60079
,[25] Bessel Diffusions as a One-Parameter Family of Diffusion Processes, Z. Wahrsch. verw. Geb., Vol. 27, 1973, pp. 37-46. | MR 368192 | Zbl 0327.60047
and ,[26] Limit Theorems for Stochastic Processes, English transl. in Th. Probab. Appl., Vol. 1, 1960, pp. 261-290.
,[27] Stochastic Equations for Diffusion Processes in a Bounded Region, Th. Probab. Appl., Vol. 6, 1961, pp. 264-274. | MR 145598 | Zbl 0215.53501
,[28] On the Existence and Uniqueness of Diffusion Processes with Wentzell's Boundary Conditions, J. Math. Kyoto Univ., Vol. 28, 1988, pp. 71-80. | MR 929208 | Zbl 0665.60062
and ,[29] On the Stochastic Differential Equation for a Brownian Motion with Oblique Reflection on the Half Plane, Proc. of Intern. Symp. S.D.E., Kyoto, 1976, pp. 427-436. | MR 536023 | Zbl 0413.60053
,[30] On the Stochastic Differential Equation for a Two-Dimensional Brownian Motion with Boundary Condition, J. Math. Soc. Japan, Vol. 32, 1980, pp. 233-249. | MR 567417 | Zbl 0444.60066
,[31] Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959. | MR 114894 | Zbl 0087.28401
,[32] Brownian Motion in a Wedge with Oblique Reflection, Comm. Pure Appl. Math., Vol. 38, 1985, pp. 405-443. | MR 792398 | Zbl 0579.60082
and ,[33] Diffusions, Markov Processes and Martingales, Vol. I, Wiley, New York, 1979. | MR 531031 | Zbl 0402.60003
,