Mass Transference Principle: From Balls to Arbitrary Shapes

The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We present a version for limsup sets of open sets of arbitrary shape.

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Published in:International mathematics research notices 2021-04, Vol.2021 (8), p.6315-6330
Main Authors: Koivusalo, Henna, Rams, Michał
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Language:English
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description The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We present a version for limsup sets of open sets of arbitrary shape.
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title Mass Transference Principle: From Balls to Arbitrary Shapes
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