A general decomposition theory for random cascades
classification
🧮 math.PR
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cascadesdecompositiongeneralprobabilisticadditionannouncementappliesapproach
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This announcement describes a probabilistic approach to cascades which, in addition to providing an entirely probabilistic proof of the Kahane-Peyri\`ere 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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