Dispersing Fermi-Ulam Models

2020/02/28 by Jacopo De Simoi, Dmitry Dolgopyat, De Simoi, Jacopo +1 · 1 citation
Computer Science · Mathematics · #Nonlinear Dynamics and Pattern Formation #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2003.00053

Abstract

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.

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