Full Length Research Paper
Abstract
Let T(x,r) denote the occupation measure of the ball of radius r centered at x for Brownian motion {Xr},0 < t < 1 in Rn , n > 3. We consider the set and show that for a = 0,h(r) = r2 (logr)λ, λ > 1. Moreover, E0 n Ea = ø for a > 0. We deduce that the Hausdorff dimension of E0 is 2 for n > 3
Key words: Brownian motion, Hausdorff dimension, multifractal analysis, polar sets, occupation measure.
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