Rotation numbers for random dynamical systems on the circle

Li, Weigu; Lu, Kening

doi:10.1090/S0002-9947-08-04619-9

Rotation numbers for random dynamical systems on the circle
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Trans. Amer. Math. Soc. 360 (2008), 5509-5528 Request permission

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.

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