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Brownian Motion and Analysis
PIMS-UBC 2008 Summer School in Probability
 
 
Class materials  
 
Lecture set I: PowerPoint, PDF  
 
Lecture set II: PowerPoint, PDF  
 
Lecture set III: PowerPoint, PDF  
 
Lecture set IV: PowerPoint, PDF  
 
 
 
Published articles and preprints  
 
  • Brownian paths and cones. Ann. Probab. 13, 1985, 1006-1010
    PDF
  • Brownian excursions and minimal thinness, I. Ann. Probab. 15, 1987, 676-689
    PDF
  • Geometric properties of 2-dimensional Brownian paths. Probability Theory and Related Fields 81, 1989, 485-505
    PDF
  • Lifetimes of conditioned diffusions. Probab. Th. Rel. Fields 91, 1992, 405--443.
    PDF
  • A Fleming-Viot particle representation of Dirichlet Laplacian Comm. Math. Phys. 214 (2000) 679-703
    PDF
  • Uniqueness for reflecting Brownian motion in lip domains Ann. I. H. Poincaré 41 (2005) 197-235
    PDF
  • Traps for reflected Brownian motion Math. Z. 252 (2006) 103-132
    PDF
  • Synchronous couplings of reflected Brownian motions in smooth domains Illinois J. Math., Doob Volume 50 (2006) 189-268
    PDF
  • On the Robin problem in fractal domains Proc. London Math. Soc. 96 (2008), 273-311
    PDF
  • Pathwise uniqueness for two dimensional reflecting Brownian motion in certain planar Lipschitz domains Electr. Comm. Probab. 11 (2006) paper 18, pages 178-181.
    PDF
  • Discrete approximations to reflected Brownian motion Ann. Probab. 36, (2008) 698-727
    PDF
  • On pathwise uniqueness for reflecting Brownian motion in $C^{1+\gamma}$ domains (preprint)
    PDF
  • Stationary distributions for diffusions with inert drift (preprint)
    PDF