Edouard Daviaud
Edouard Daviaud
Edouard Daviaud

I currently hold a post-doc position in the Chinese University of Hong-Kong (CUHK) under the supervision of De-Jun Feng. I defended my PHD at the Université Paris-Est Créteil (Paris 12), which was supervised by Stéphane Seuret (Université Paris 12) and Julien Barral (Université Paris 13).   My research interest are the fractal geometry, the geometric measure theory, the dynamical systems and the metric number theory.

Fr

Publications & preprints

(1) A short note about Diophantine approximation by some rational polynomials (2024) 

 

(2) A survey of recent extensions and generalisations of the Mass Transference Principle (with Demi Allen, submitted)

 

(3) Dynamical Diophantine approximmation and shriking targets associated with overlapping conformal IFS (2024, submitted)

 

(4) A dimensional mass transference principle for Borel probability measures and applications (2022, submitted)

 

(5) An upper-bound for the Hausdorff dimension of limsup sets (2023, submitted, NB: second part of the article previously called "Extraction of optimal....") 

(6) Limsup of full measure and covering properties (2023, submitted, NB: First part of the article previously called "Extraction of optimal....")

(7) A dimensional mass transference principle from ball to rectangle for projection of Gibbs measures and applications (accepted in JMAA)

(8) PhD thesis: Metric theory of approximation and geometry of discrete self-similar measures

 

edouard[dot]daviaud[at]u-pec[dot]fr