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Paper detail

Dispersing Fermi-Ulam Models

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 hyperbolic billiards we prove, under very mild complexity assumptions, a Growth Lemma for our systems. This allows us to obtain ergodicity of dispersing Fermi-Ulam Models. It follows that almost every orbit of such systems is oscillatory.

preprint2020arXivOpen access
Jacopo De SimoiDmitry Dolgopyat
math.DS
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Jacopo De SimoiDmitry Dolgopyat

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