activity
20082026
most citedMarked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards

7 citations · 8 across the 7 of their papers we have counts for

collaborators

8 papers

math.DS2026

Yet another characterization of Birkhoff Billiards inside discs

Klaudiusz Czudek, Jacopo De Simoi, Andrew Gad +1

In this short paper, we show a characterization of Birkhoff Billiards inside discs which is related to the expansion of the formal Lazutkin conjugacy at the boundary.

math.DS2025

Statistical properties of mostly expanding fast-slow partially hyperbolic systems

Jacopo De Simoi, Kasun Fernando, Nicholas Fleming-Vázquez

We consider a class of fast-slow partially hyperbolic systems on given by -perturbations of maps where are expandin…

math.DG2024

Marked length spectrum rigidity for Anosov magnetic surfaces

Valerio Assenza, Jacopo de Simoi, James Marshall Reber +1

We show that if is a closed, connected, oriented surface, and two Anosov magnetic systems on are conjugate by a volume-preserving conjugacy isotopic to the identity, with t…

math.DS2020

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 .

math.DS2020

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…

math.DS2020

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…