Rotation Numbers for Random Dynamical Systems on the Circle

Details Rotation Numbers for Random Dynamical Systems on the Circle Rotation Numbers for Random Dynamical Systems on the Circle

2006-12-20

arxiv.org/abs/math/0612624v1

Mathematics

Dynamical Systems

21 pages

Scientific paper

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.

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