Volume 8 (2025)
De Simoi, Jacopo;  Dolgopyat, Dmitry
Dispersing Fermi–Ulam Models
Annales Henri Lebesgue, Volume 8 (2025), pp. 453-554.

Metadata

DOI10.5802/ahl.240

Abstract

We study a natural class of Fermi–Ulam Models featuring good hyperbolicity properties that we call dispersing Fermi–Ulam models. Using tools inspired by the theory of hyperbolic billiards we prove, under very mild complexity assumption, 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.


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