45 citations · 125 across the 13 of their papers we have counts for
19 papers
Strong regularity
Pierre Berger, Jean-Christophe Yoccoz
This is an introduction of a book called "strong regularity", to appear at Astérisque, containing: 1) Yoccoz' proof of Jakobson theorem www.college-de-france.fr/media/jean-christop…
On Roth type conditions, duality and central Birkhoff sums for i.e.m
Stefano Marmi, Corinna Ulcigrai, Jean-Christophe Yoccoz
We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the \emph{absolute Roth type condition} is a weakening of th…
Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension
Carlos Matheus, Jacob Palis, Jean-Christophe Yoccoz
We show that the stable and unstable sets of non-uniformly hyperbolic horseshoes arising in some heteroclinic bifurcations of surface diffeomorphisms have the value conjectured in…
The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
We describe the Kontsevich--Zorich cocycle over an affine invariant orbifold coming from a (cyclic) covering construction inspired by works of Veech and McMullen. In particular, us…
Zorich conjecture for hyperelliptic Rauzy-Veech groups
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy-Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture o…
Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps
Stefano Marmi, Jean-Christophe Yoccoz
We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class with and belong…