Décomposition des difféomorphismes du tore en applications déviant la verticale (avec un appendice en collaboration avec Jean-Marc Gambaudo)
Disques de Siegel et anneaux de Herman
Distortion bounds for unimodal maps
We obtain estimates for derivative and cross-ratio distortion for (any η > 0) unimodal maps with non-flat critical points. We do not require any “Schwarzian-like” condition. For two intervals J ⊂ T, the cross-ratio is defined as the value B(T,J): = (|T| |J|)/(|L| |R|) where L,R are the left and right connected components of T∖J respectively. For an interval map g such that is a diffeomorphism, we consider the cross-ratio distortion to be B(g,T,J): = B(g(T),g(J))/B(T,J). We prove that for...
Dynamics in binary neural networks with a finite number of patterns. I: General picture of the asynchronous zero temperature dynamics.
Dynamics of the continued fraction map and the spectral theory of SL (2, Z).
Dynamics of the radix expansion map.
Dynamique des homéomorphismes du plan au voisinage d'un point fixe