Continued fractions : multifractal and dynamical aspects
Fractions continues : aspects multifractals et dynamiques

25 – 28 September 2023

Organizing Committee
Comité d’organisation

Bruno Martin (Université du Littoral)


The central theme of this workshop is continued fraction theory and its links with multifractal analysis and dynamical systems. The goal is to strengthen the interactions between concepts and methods of these different fields and to promote new collaborations.

Le thème central de cet atelier est la théorie des fractions continues et ses interactions avec l’analyse multifractale et la théorie des systèmes dynamiques. Le but est de renforcer les interactions entre les concepts et les méthodes de ces différents domaines et de susciter de nouvelles collaborations.


Faustin Adiceam (Université Paris-Est Créteil)  Continued fractions over the reals and over function fields : analogy and differences
Christoph Aistleitner (Graz University of Technology)  The distribution of partial quotients of rationals with fixed denominator
Valérie Berthe (Université Paris Cité)  Convergence of multidimensional continued fractions
Yann Bugeaud (Université de Strasbourg)  Continued fraction expansions of algebraic power series over a finite field
Sary Drappeau (Aix-Marseille Université)  Quantum modular forms of non-zero weight
Charlene Kalle (Universiteit Leiden) Shifted Hurwitz complex continued fractions
Dong Han Kim (Dongguk University Seoul)  Approximation by rational numbers of the parity types
Thomas Lamby (University of Liège)  Pointwise Regularity of Generalized Brjuno Functions
Jungwon Lee (University of Warwick)  Euclidean algorithms are Gaussian over imaginary quadratic fields
Lingmin Liao (Wuhan University)  Big Birkhoff sums in d-decaying Gauss like iterated function systems
Stéphane Seuret (Université Paris-Est Créteil)  Multifractal analysis of random lacunary Gibbs capacities
Slade Sanderson (Utrecht University)   Inducing the mother of all continued fractions
Jasson Vindas (Ghent University)  The pointwise behavior of Riemann’s function
Ayşe Yiltekin-Karatas (Oregon State University)  One-Parameter Deformations of the Bowen-Series Map Associated to Cocompact Fuchsian Triangle Groups   


Orbites des systèmes dynamiques discrets en informatique