I currently hold a post-doc position in Liège (Belgium) under the supervision of C. Esser. My research interest are the fractal geometry, the geometric measure theory, the dynamical systems and the metric number theory.

Fr

Publications & preprints

(1) Slow polynomial mixing, dynamical Borel-Cantelli lemma and Hausdorff dimension of dynamical diophantine sets (submitted, 2025)

(2) Hausdorff dimension of dynamical coverings associated to ergodic mixing systems (submitted, 2025)

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

(4) A survey of recent extensions and generalisations of the Mass Transference Principle (with Demi Allen, To appear in Further developpement in fractal geometry and related fields)

(5) Dynamical Diophantine approximmation and shriking targets associated with overlapping conformal IFS (Ergodic Theory and Dynamical Systems , Volume 45 , Issue 6 , June 2025 , pp. 1777 - 1826)

(6) A dimensional mass transference principle for Borel probability measures and applications (Advances in Mathematics, Volume 474, July 2025, 110304)

(7) An upper-bound for the Hausdorff dimension of limsup sets (Real analysis exchange)

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

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

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

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