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Numerical evidence of Dynamical spectral rigidity of ellipses among smooth -symmetric domains
Shanza Ayub, Jacopo De Simoi
We present numerical evidence for spectral rigidity among -symmetric domains of ellipses of eccentricity smaller than .
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards
Jacopo De Simoi, Martin Leguil, Kurt Vinhage +1
Given an integer , and a Anosov flow on some compact connected -manifold preserving a smooth volume, we show that the measure of maximal entropy (MME) is the…
Dispersing Fermi-Ulam Models
Jacopo De Simoi, Dmitry Dolgopyat
We study a natural class of Fermi-Ulam Models that features good hyperbolicity properties and that we call dispersing Fermi-Ulam models. Using tools inspired by the theory of hyper…
Marked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards
Péter Bálint, Jacopo De Simoi, Vadim Kaloshin +1
We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-esca…
Stability and instability results in a model of Fermi acceleration
Jacopo De Simoi
We consider the static wall approximation to the dynamics of a particle bouncing on a periodically oscillating infinitely heavy plate while subject to a potential force. We assume…