A general decomposition theory for random cascades

Waymire, Edward C.; Williams, Stanley C.

doi:10.1090/S0273-0979-1994-00521-X

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ISSN 1088-9485(online) ISSN 0273-0979(print)

A general decomposition theory for random cascades

Authors: Edward C. Waymire and Stanley C. Williams
Journal: Bull. Amer. Math. Soc. 31 (1994), 216-222
MSC: Primary 60G57; Secondary 60D05, 60G30, 60G42, 60J10, 60K35
MathSciNet review: 1260522
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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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