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References

  1. Atar, Rami; Burdzy, Krzysztof. On nodal lines of Neumann eigenfunctions. Electron. Comm. Probab. 7 (2002), 129--139 (electronic). MR1937899 (2003h:35180)
  2. Atar, Rami; Burdzy, Krzysztof. On Neumann eigenfunctions in lip domains. J. Amer. Math. Soc. 17 (2004), no. 2, 243--265 (electronic). MR2051611 (2005b:35037)
  3. Bass, Richard; Hsu, Elton. The semimartingale structure of reflecting Brownian motion. Proc. Amer. Math. Soc. 108 (1990), no. 4, 2, 1007--1010. 1990. MR1007487 (91a:60205)
  4. Benjamini, Itai; Burdzy, Krzysztof; Chen, Zhen-Qing. Shy couplings. Probab. Theory Related Fields 137 (2007), no. 3-4, 345--377. MR2278461 (2007m:60224)
  5. Burdzy, Krzysztof; Kendall, Wilfrid S. Efficient Markovian couplings: examples and counterexamples. Ann. Appl. Probab. 10 (2000), no. 2, 362--409. MR1768241 (2002b:60129)
  6. Émery, Michel. Stochastic calculus in manifolds. With an appendix by P.-A. Meyer. Universitext. Springer-Verlag, Berlin, 1989. x+151 pp. ISBN: 3-540-51664-6 MR1030543 (90k:58244)
  7. Émery, Michel. On certain almost Brownian filtrations. Ann. Inst. H. Poincaré Probab. Statist. 40 (2005), no. 3, 285--305. MR2139021 (2006c:60093)
  8. Itô, Kiyoshi Stochastic differentials. Appl. Math. Optim. 1 (1974/75), no. 4, 374--381. MR0388538 (52 #9374)
  9. Jost, Jürgen; Kendall, Wilfrid; Mosco, Umberto; Röckner, Michael; Sturm, Karl-Theodor. New directions in Dirichlet forms. AMS/IP Studies in Advanced Mathematics, 8. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 1998. xiv+277 pp. ISBN: 0-8218-1061-8 MR1652277 (99e:31002)
  10. Kendall, Wilfrid S. Probability, convexity, and harmonic maps with small image. I. Uniqueness and fine existence. Proc. London Math. Soc. (3) 61 (1990), no. 2, 371--406. MR1063050 (91g:58062)
  11. Kendall, Wilfrid S. Convexity and the hemisphere. J. London Math. Soc. (2) 43 (1991), no. 3, 567--576. MR1113394 (92h:58021)
  12. Kendall, Wilfrid S. Coupling all the Lévy stochastic areas of multidimensional Brownian motion. Ann. Probab. 35 (2007), no. 3, 935--953. MR2319712 (2008h:60339)
  13. Pascu, Mihai N.; Gageonea, Maria E. On a conjecture of Laugesen and Morpurgo. http://arxiv.org/abs/0807.4726
  14. Revuz, Daniel; Yor, Marc. Continuous martingales and Brownian motion. Springer-Verlag, Berlin, 1991. x+553 pp. ISBN: 3-540-52167-4 MR1083357 (92d:60053)
  15. Tanaka, Hiroshi. Stochastic differential equations with reflecting boundary condition in convex regions. Hiroshima Math. J. 9 (1979), no. 1, 163--177. MR0529332 (80k:60075)


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