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Codimension formulae for the intersection of fractal subsets of Cantor spaces

, akin to other codimension theorems. The upper estimates come from the expected sizes of coverings, whilst the lower estimate is more intricate, using martingales to define a random measure on the intersection to facilitate a potential theoretic argument.]]>

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2016-02, Vol.144 (2), p.651-663
Main Authors: Donoven, Casey, Falconer, Kenneth
Format: Article
Language:English
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Summary:, akin to other codimension theorems. The upper estimates come from the expected sizes of coverings, whilst the lower estimate is more intricate, using martingales to define a random measure on the intersection to facilitate a potential theoretic argument.]]>
ISSN:0002-9939
1088-6826
DOI:10.1090/proc12730