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

2022/04/04 by Edouard Daviaud, Daviaud, Edouard · 1 citation
Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Stochastic processes and statistical mechanics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2204.01302

openalex publication_date 2022/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Multivariate multifractal analysis of Levy functions. Part I: Determination of multifractal spectra

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