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arXiv · 1005.5255

Dimension result and KPZ formula for two-dimensional multiplicative cascade processes

Xiong Jin
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Abstract

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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Xiong Jin. 2010-05-28. Dimension result and KPZ formula for two-dimensional multiplicative cascade processes. https://doi.org/10.1214/10-aop613

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