An heterogeneous ubiquity theorem, application to self-similar measures with overlaps

Edouard Daviaud

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arXiv · 2204.01302

An heterogeneous ubiquity theorem, application to self-similar measures with overlaps

Edouard Daviaud

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Abstract

In this article, one investigates in a very general frame mass transference principles from ball to arbitrary open sets when the sequence of balls is distributed according to a finite measure. As an application of the main theorem, a mass transference principle is established when the measure is self-similar with no separation conditions.

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Edouard Daviaud. 2022-04-04. An heterogeneous ubiquity theorem, application to self-similar measures with overlaps. https://arxiv.org/abs/2204.01302

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