KPZ formula for log-infinitely divisible multifractal random measures
نویسندگان
چکیده
We consider the continuous model of log-infinitely divisible multifractal random measures (MRM) introduced in [1]. If M is a non degenerate multifractal measure with associated metric ρ(x, y) = M([x, y]) and structure function ζ , we show that we have the following relation between the (Euclidian) Hausdorff dimension dimH of a measurable set K and the Hausdorff dimension dimρH with respect to ρ of the same set: ζ(dimρH(K)) = dimH(K).
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تاریخ انتشار 2008