Intersection Local Time for Points of Infinite Multiplicity
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چکیده
then we might say that “Brownian motion X spends a units of local time at x.” Note that the normalization in (1.1) is different from that used in the definition of the local time for 1-dimensional Brownian motion. One of the things we will show is that points x with the property (1.1) do exist for some a. Let Dim(A) denote the Hausdorff dimension of the set A. The carrying dimension of a measure μ is α if α is the infimum of γ’s for which one can find a set A = Aγ such that μ(A) = 0 and the Hausdorff dimension of A is equal to γ.
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تاریخ انتشار 2005