no. 3
On reflecting brownian motion - a weak convergence approach
Annales de l'I.H.P. Probabilités et statistiques, Tome 26 (1990) no. 3, pp. 461-488. 
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     author = {Williams, R. J. and Zheng, W. A.},
     title = {On reflecting brownian motion - a weak convergence approach},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {461--488},
     publisher = {Gauthier-Villars},
     volume = {26},
     number = {3},
     year = {1990},
     zbl = {0704.60081},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1990__26_3_461_0/}
}
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Williams, R. J.; Zheng, W. A. On reflecting brownian motion - a weak convergence approach. Annales de l'I.H.P. Probabilités et statistiques, Tome 26 (1990) no. 3, pp. 461-488. http://archive.numdam.org/item/AIHPB_1990__26_3_461_0/

[1] R.F. Bass, P. Hsu, Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains, to appear in Ann. Prob.. | Zbl

[2] R.F. Bass, P. Hsu, The semimartingale structure of reflecting Brownian motion, to appear in Proc. Am. Math. Soc. | MR | Zbl

[3] P. Billingsley, Convergence of Probability Measures, John Wiley and Sons, new York, 1968. | MR | Zbl

[4] E. Carlen, Conservative diffusions, Comm. Math. Phys. 94, 293-316. | MR | Zbl

[5] H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969. | MR | Zbl

[6] M. Fukushima, A construction of reflecting barrier Brownian motions for bounded domains, Osaka J. Math. 4 (1967), 183-215. | MR | Zbl

[7] M. Fukushima, Dirichlet forms and Markov Processes, North-Holland, 1980. | MR | Zbl

[8] E. Hewitt, K. Stromberg, Real and Abstract Analysis, Springer-Verlag, New York, 1965. | MR | Zbl

[9] P. Hsu, Reflecting Brownian Motion, Boundary Local Time, and the Neumann Boundary Value Problem, Ph.D. Dissertation, Stanford, 1984.

[10] P.L. Lions, A.S. Sznitman, Stochastic differential equations with reflecting boundary conditions, Comm. Pure Appl. Math. 37 (1984), 511-537. | MR | Zbl

[11] T.J. Lyons, W.A. Zheng, A crossing estimate for the canonical process on a Dirichlet space and a tightness result, Colloque Paul Levy sur les Processus Stochastiques, Asterisque, 157-158 (1988), 249-271. | Numdam | Zbl

[12] P.A. Meyer, W.A. Zheng, Tightness criteria for laws of semimartingales, Ann. Inst. Henri Poincaré, 20 (1984), N°4, 357-372. | Numdam | MR | Zbl

[13] Y. Saisho, Stochastic differential equations for multi-dimensional domain with reflecting boundary, Prob. Theor. Rel. Fields, 74 (1987), 455-477. | MR | Zbl

[14] E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. | MR | Zbl

[15] D.W. Stroock, S.R.S. Varadhan, Diffusion processes with boundary conditions, Comm. Pure Appl. Math. 24 (1971), 147-225. | MR | Zbl

[16] H. Tanaka, Stochastic differential equations with reflecting boundary conditions in convex regions, Hiroshima Math. J. 9 (1979), 163-177. | MR | Zbl

[17] W.A. Zheng, Tightness results for laws of diffusion processes, Application to stochastic mechaniscs, Ann. Inst. Henri Poincaré 21 (1985), 103-124. | Numdam | MR | Zbl

[18] W.A. Zheng, Semimartingales in predictable random open sets, Séminaire de Probabilités XVI, Lect. Notes Math. 920 (1982), Springer-Verlag, 370-379. | Numdam | MR | Zbl