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math.DS2019
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…
math.DS2019
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…