3 papers
math.NT2026
Intrinsic Diophantine approximation by rationals of height with a bounded number of distinct prime factors
Edouard Daviaud
In this article, for a large class of rational self-similar IFS's wich contains the middle-third Cantor set, we compute the Hausdorff dimension of elements a self-similar set that…
math.NT2025
Slow polynomial mixing, dynamical Borel-Cantelli lemma and Hausdorff dimension of dynamical diophantine sets
Edouard Daviaud
In this article, we establish optimality results regarding the dynamical Borel-Cantelli lemma and the the Hausdorff dimension of certain dynamical diophantine sets.
math.MG2022
An heterogeneous ubiquity theorem, application to self-similar measures with overlaps
Edouard Daviaud
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 fin…