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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1994-00521-X
PII: S 0273-0979(1994)00521-X
Keywords: Martingale, Hausdorff dimension, tree, random measure
Article copyright: © Copyright 1994 American Mathematical Society