35 citations · 58 across the 9 of their papers we have counts for
11 papers
Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
Jacopo De Simoi, Vadim Kaloshin, Martin Leguil
We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to…
Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems
Jacopo de Simoi, Carlangelo Liverani, Christophe Poquet +1
We consider a simple class of fast-slow partially hyperbolic dynamical systems and show that the (properly rescaled) behaviour of the slow variable is very close to a Friedlin--Wen…
Dynamical Spectral rigidity among -symmetric strictly convex domains close to a circle
Jacopo De Simoi, Vadim Kaloshin, Qiaoling Wei +1
We show that any sufficiently (finitely) smooth -symmetric strictly convex domain sufficiently close to a circle is dynamically spectrally rigid, i.e. all deformations…
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…
Fermi Acceleration in anti-integrable limits of the standard map
Jacopo De Simoi
We consider a dynamical system on the semi-infinite cylinder which models the high energy dynamics of a family of mechanical models. We provide conditions under which we ensure tha…
Dynamics of some piecewise smooth Fermi-Ulam Models
Jacopo De Simoi, Dmitry Dolgopyat
We find a normal form which describes the high energy dynamics of a class of piecewise smooth Fermi-Ulam ping pong models; depending on the value of a single real parameter, the dy…
On cyclicity one elliptic islands of the Standard family
Jacopo De Simoi
We study abundance of a special class of elliptic islands (called cyclicity one elliptic islands) for the Standard family of area preserving diffeomorphisms for large parameter val…