Browsing Mathematics, Department of by Author "Khoshnevisan, Davar"
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, ...
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 ...
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.