EXTRACTION OF OPTIMAL SUBSEQUENCES OF SEQUENCE OF BALLS, AND APPLICATION TO OPTIMALITY ESTIMATES OF MASS TRANSFERENCE PRINCIPLES - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

EXTRACTION OF OPTIMAL SUBSEQUENCES OF SEQUENCE OF BALLS, AND APPLICATION TO OPTIMALITY ESTIMATES OF MASS TRANSFERENCE PRINCIPLES

Résumé

In this article, we prove that from any sequence of balls whose associated limsup set has full µ-measure, one can extract a well-distributed subsequence of balls. From this, we deduce the optimality of various lower bounds for the Hausdorff dimension of limsup sets of balls obtained by mass transference principles.
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Dates et versions

hal-03626668 , version 1 (01-04-2022)
hal-03626668 , version 2 (06-07-2022)
hal-03626668 , version 3 (18-07-2022)

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Édouard Daviaud. EXTRACTION OF OPTIMAL SUBSEQUENCES OF SEQUENCE OF BALLS, AND APPLICATION TO OPTIMALITY ESTIMATES OF MASS TRANSFERENCE PRINCIPLES. 2022. ⟨hal-03626668v1⟩
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