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Rotation numbers for random dynamical systems on the circle |
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| Authors: | Weigu Li Kening Lu |
| Affiliation: | School of Mathematics, Peking University, Beijing 100871, People's Republic of China ; Department of Mathematics, Brigham Young University, Provo, Utah 84602 |
| 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. |
| Keywords: | Rotation number random maps of circle random differential equations. |
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