arXiv subjects

Edouard Daviaud

Publications and source records attributed to Edouard Daviaud.

5 recordsLinked to original sources

arXiv2026

Intrinsic Diophantine approximation by rationals of height with a bounded number of distinct prime factors

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 are $\psi$-approximable by rational belonging to this set and satisfying that its numerator has a bounded number of distinct prime divisors. This paper is based on a previous version in which the proof of a lemma (Lemma 3.8) was incorrect.

math.NT↗

arXiv2025

Slow polynomial mixing, dynamical Borel-Cantelli lemma and Hausdorff dimension of dynamical diophantine sets

In this article, we establish optimality results regarding the dynamical Borel-Cantelli lemma and the the Hausdorff dimension of certain dynamical diophantine sets.

math.NT↗

arXiv2023

A survey of recent extensions and generalisations of the Mass Transference Principle

In this article we survey some recent extensions and generalisations of the celebrated Mass Transference Principle (Beresnevich and Velani, Annals of Mathematics, 2006).

math.NT↗

arXiv2022

Shrinking target for $C^1$ weakly conformal IFS with overlaps

In this article, we study the Hausdor dimension of weakly conformal IFS's shrinking targets with possible overlaps, provided the conformality dimension of the systems and the dimension of the attractor are equal. Those results extends the works of Hill-Velani as well as the results obtained in [6] for self-similar IFS's.

math.MG↗

arXiv2022

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

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.

math.MG↗