Article contents
Law of large numbers for certain cylinder flows
Published online by Cambridge University Press: 23 January 2013
Abstract
We construct new examples of cylinder flows, given by skew product extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of iterates. In particular, they exhibit a law of large numbers. This is accomplished by explicitly calculating, for a subsequence of iterates, the number of visits to zero, and it is shown that such number has a Gaussian distribution.
- Type
- Research Article
- Information
- Copyright
- ©2013 Cambridge University Press
References
- 1
- Cited by