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

Authors
  • Daviaud, Édouard
Publication Date
Apr 01, 2022
Source
HAL
Keywords
Language
English
License
Unknown
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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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