Law of large numbers for certain cylinder flows
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Data
2014-06-01
Autores
Cirilo, Patricia [UNESP]
Lima, Yuri
Pujals, Enrique
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Cambridge University Press
Resumo
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.
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Ergodic Theory And Dynamical Systems. New York: Cambridge Univ Press, v. 34, p. 801-825, 2014.