Rotation Numbers for Random Dynamical Systems on the Circle
Dynamical Systems
2007-05-23 v1 Classical Analysis and ODEs
Abstract
In this paper, we study rotation numbers of random dynamical systems on the circle. We prove the existence of rotation numbers and the continuous dependence of rotation numbers on the systems. As an application, we prove a theorem on analytic conjugacy to a circle rotation.
Cite
@article{arxiv.math/0612624,
title = {Rotation Numbers for Random Dynamical Systems on the Circle},
author = {Weigu Li and Kening Lu},
journal= {arXiv preprint arXiv:math/0612624},
year = {2007}
}
Comments
21 pages