Law of large numbers for certain cylinder flows
2013 ◽
Vol 34
(3)
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pp. 801-825
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Keyword(s):
AbstractWe 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.
Keyword(s):
2001 ◽
Vol 120
(3)
◽
pp. 499-503
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Keyword(s):
2000 ◽
Vol 50
(4)
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pp. 357-363
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1955 ◽
Vol 41
(8)
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pp. 586-587
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