The dimension of the frontier of planar brownian motion

Electronic Communications in Probability

Volumn 1, Issue , 1996, Pages 29-47

  Lawler, G ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

Disconnection Exponents; Frontier Dimension; Planar Brownian Motion

Indexed keywords

EID: 0003257551     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v1-975     Document Type: Article

References (10)

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3. K. Burdzy and J. San Martin (1989): Curvature of the convex hull of planar Brownian motion near its minimum point. Stoch. Proc. Their Appl. 33, 89-103.
4. K. Falconer (1990): Fractal Geometry: Mathematical Foundations and Applications. Wiley.
5. R. Kaufman (1969): Une propriété métrique du mouvement brownien. C. R. Acad. Sci. Paris ser. A 268, 727-728.
6. G. Lawler (1996): Hausdorff dimension of cut points for Brownian motion. Electronic J. Probab. 1, paper no. 2.
7. B. Mandelbrot (1983): The Fractal Geometry of Nature. W. H. Freeman.
8. E. Puckette and W. Werner (1995): Simulations and conjectures for disconnection exponents, (preprint).
9. W. Werner (1995): An upper bound to the disconnection exponent for two-dimensional Brownian motion. Bernoulli 1, 371-380.
10. W. Werner (1996): Bounds for Disconnection Exponents. Electronic Comm. Probab. 1, 19-28.