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    Intersection local time for points of infinite multiplicity 

    Burdzy, Krzysztof; Bass, Richard F.; Khoshnevisan, Davar (Institute of Mathematical Statistics, 1994-04)
    For each a [is an element of the set] (0, 1/2), there exists a random measure [beta] [subscript] a which is supported on the set of points where two-dimensional Brownian motion spends a units of local time. The measure [beta] [subscript] a is carried by a set which has Hausdorff dimension equal to 2−a. A Palm measure ...
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    The level sets of iterated Brownian motion 

    Burdzy, Krzysztof; Khoshnevisan, Davar (Springer-Verlag, 1995)
    We show that the Hausdorff dimension of every level set of iterated Brownian motion is equal to 3/4.
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    Brownian motion in a Brownian crack 

    Burdzy, Krzysztof; Khoshnevisan, Davar (Institute of Mathematical Statistics, 1998-08)
    Let D be the Wiener sausage of width [epsilon] around two-sided Brownian motion. The components of two-dimensional reflected Brownian motion in D converge to one-dimensional Brownian motion and iterated Brownian motion, resp., as [epsilon] goes to 0.

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    Author
    Burdzy, Krzysztof (3)
    Khoshnevisan, Davar (3)
    Bass, Richard F. (1)Subjectiterated Brownian motion (2)Brownian motion (1)crack diffusion model (1)diffusion on fractal (1)excursions (1)exit system (1)Hausdorff dimension (1)intersection local time (1)local time (1)... View MoreDate Issued1998 (1)1995 (1)1994 (1)

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