A general decomposition theory for random cascades

Edward C. Waymire; Stanley C. Williams

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A general decomposition theory for random cascades

Edward C. Waymire·Stanley C. Williams

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Abstract

This announcement describes a probabilistic approach to cascades which, in addition to providing an entirely probabilistic proof of the Kahane-Peyrière theorem for independent cascades, readily applies to general dependent cascades. Moreover, this unifies various seemingly disparate cascade decompositions, including Kahane's T-martingale decomposition and dimension disintegration.

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Edward C. Waymire, Stanley C. Williams. 1994-10-01. A general decomposition theory for random cascades. https://arxiv.org/abs/math/9410222

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