Dimension result and KPZ formula for two-dimensional multiplicative cascade processes
classification
🧮 math.PR
math-phmath.MP
keywords
resultcascadedimensionformulamultiplicativeprocessestwo-dimensionalhausdorff
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We prove a Hausdorff dimension result for the image of two-dimensional multiplicative cascade processes, and we obtain from this result a KPZ-type formula which normally has one point of phase transition.
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