45 citations · 125 across the 13 of their papers we have counts for
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math.DS2017
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…
math.DS2017
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…