2 papers
math.MG2022
Extraction of optimal subsequences of sequence of balls, and application to optimality estimates of mass transference principles
Édouard Daviaud
In this article, we prove that from any sequence of balls whose associated limsup set has full -measure, one can extract a well-distributed subsequence of balls. From this, we d…
math.MG2021
An anisotropic inhomogeneous ubiquity Theorem
Édouard Daviaud
Recently, mass transference principles in metric number theory extend towards two direction. On one hand, the shape of the approximating sets can be taken of various shape, balls,…