Monthly Archives: February 2014

Dynamics and quasiconformal geometry 1. Motivation : Cannon’s conjecture Gromov hyperbolic group. When is the ideal boundary a topological 2-sphere ? It is the case when is virtually the fundamental group of a compact hyperbolic 3-manifold. Version 1: Are there … Continue reading →

Horizontal convexity in the Heisenberg group Joint with Andrea Calogero and Alexandru Kristály. 1. Alexandrov’s theorem in Euclidean space I think of a convex function as a function which stays above its supporting affine function at every point. The set … Continue reading →

Multifractal analysis on the Heisenberg group Joint with Stéphane Seuret. 1. Motivation 1.1. Sources of multifractal analysis Multifractal analysis is a toolbox for data analysis (textures, financial or experimental data, diophantine approimation,… see the program of our seminar at UPEC). … Continue reading →