35 citations · 58 across the 9 of their papers we have counts for
5 papers · 1 filter
An integrable deformation of an ellipse of small eccentricity is an ellipse
Artur Avila, Jacopo De Simoi, Vadim Kaloshin
The classical Birkhoff conjecture says that the only integrable convex domains are circles and ellipses. In the paper we show that this a version of this conjecture is true for sma…
Statistical properties of mostly contracting fast-slow partially hyperbolic systems
Jacopo De Simoi, Carlangelo Liverani
We consider a class of partially hyperbolic systems on described by maps where are exp…
Limit Theorems for Fast-slow partially hyperbolic systems
Jacopo De Simoi, Carlangelo Liverani
We prove several limit theorems for a simple class of partially hyperbolic fast-slow systems. We start with some well know results on averaging, then we give a substantial refineme…
On the Hausdorff dimension of Newhouse phenomena
Pierre Berger, Jacopo De Simoi
We show that at the vicinity of a generic dissipative homoclinic unfolding of a surface diffeomorphism, the Hausdorff dimension of the set of parameters for which the diffeomorphis…
The martingale approach after Varadhan and Dolgopyat
Jacopo De Simoi, Carlangelo Liverani
We present, in the simplest possible form, the so called martingale problem strategy to establish limit theorems. The presentation is specially adapted to problems arising in parti…