Free Access
Issue
ESAIM: PS
Volume 5, 2001
Page(s) 203 - 224
DOI https://doi.org/10.1051/ps:2001109
Published online 15 August 2002
  1. A. Bonami, F. Bouchut, E. Cépa and D. Lépingle, A nonlinear SDE involving Hilbert transform. J. Funct. Anal. 165 (1999) 390-406. [CrossRef] [MathSciNet] [Google Scholar]
  2. E. Cépa, Équations différentielles stochastiques multivoques. Sémin. Probab. XXIX (1995) 86-107. [Google Scholar]
  3. E. Cépa, Problème de Skorohod multivoque. Ann. Probab. 26 (1998) 500-532. [CrossRef] [MathSciNet] [Google Scholar]
  4. E. Cépa and D. Lépingle, Diffusing particles with electrostatic repulsion. Probab. Theory Related Fields 107 (1997) 429-449. [CrossRef] [MathSciNet] [Google Scholar]
  5. T. Chan, The Wigner semi-circle law and eigenvalues of matrix-valued diffusions. Probab. Theory Related Fields 93 (1992) 249-272. [CrossRef] [MathSciNet] [Google Scholar]
  6. B. Duplantier, G.F. Lawler, J.F. Le Gall and T.J. Lyons, The geometry of Brownian curve. Bull. Sci. Math. 2 (1993) 91-106. [Google Scholar]
  7. F.J. Dyson, A Brownian motion model for the eigenvalues of a random matrix. J. Math. Phys. 3 1191-1198. [Google Scholar]
  8. W. Feller, Diffusion processes in one dimension. Trans. Amer. Math. Soc. 77 (1954) 1-31. [MathSciNet] [Google Scholar]
  9. D.J. Grabiner, Brownian motion in a Weyl chamber, non-colliding particles, and random matrices. Ann. Inst. H. Poincaré 35 (1999) 177-204. [CrossRef] [MathSciNet] [Google Scholar]
  10. D. Hobson and W. Werner, Non-colliding Brownian motion on the circle. Bull. London Math. Soc. 28 (1996) 643-650. [CrossRef] [MathSciNet] [Google Scholar]
  11. I. Karatzas and S.E. Shreve, Brownian motion and stochastic calculus. Springer, Berlin Heidelberg New York (1988). [Google Scholar]
  12. P.L. Lions and A.S. Sznitman, Stochastic differential equations with reflecting boundary conditions. Comm. Pure Appl. Math. 37 (1984) 511-537. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed] [Google Scholar]
  13. H.P. McKean, Stochastic integrals. Academic Press, New York (1969). [Google Scholar]
  14. M.L. Mehta, Random matrices. Academic Press, New York (1991). [Google Scholar]
  15. M. Metivier, Quelques problèmes liés aux systèmes infinis de particules et leurs limites. Sémin. Probab. XX (1986) 426-446. [Google Scholar]
  16. M. Nagasawa and H. Tanaka, A diffusion process in a singular mean-drift field. Z. Wahrsch. Verw. Gebiete 68 (1985) 247-269. [CrossRef] [MathSciNet] [Google Scholar]
  17. R.G. Pinsky, On the convergence of diffusion processes conditioned to remain in a bounded region for large times to limiting positive recurrent diffusion processes. Ann. Probab. 13 (1985) 363-378. [CrossRef] [MathSciNet] [Google Scholar]
  18. D. Revuz and M. Yor, Continuous martingales and Brownian motion. Springer Verlag, Berlin Heidelberg (1991). [Google Scholar]
  19. L.C.G. Rogers and Z. Shi, Interacting Brownian particles and the Wigner law. Probab. Theory Related Fields 95 (1993) 555-570. [CrossRef] [MathSciNet] [Google Scholar]
  20. L.C.G. Rogers and D. Williams, Diffusions, Markov processes and Martingales. Wiley and Sons, New York (1987). [Google Scholar]
  21. Y. Saisho, Stochastic differential equations for multidimensional domains with reflecting boundary. Probab. Theory Related Fields 74 (1987) 455-477. [CrossRef] [MathSciNet] [Google Scholar]
  22. H.Spohn, Dyson's model of interacting Brownian motions at arbitrary coupling strength. Markov Process. Related Fields 4 (1998) 649-661. [MathSciNet] [Google Scholar]
  23. A.S. Sznitman, Topics in propagation of chaos. École d'été Probab. Saint-Flour XIX (1991) 167-251. [Google Scholar]
  24. H. Tanaka, Stochastic differential equations with reflecting boundary conditions in convex regions. Hiroshima Math. J. 9 (1979) 163-177. [MathSciNet] [Google Scholar]
  25. D. Voiculescu, Lectures on free probability theory. École d'été Probab. Saint-Flour (1998). [Google Scholar]

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