Ergodic theorems for random sets with density zero
Keyword(s):
AbstractWe generalize a result of Bourgain and a result of Huang. We also give a positive solution to A. Bellow's question: the a.e. convergence of the averages for σn = 1/n. On the other hand, we establish a sufficient and necessary condition for random sets in Z+ with asymptotic density zero which almost surely satisfy a mean ergodic theorem.
1992 ◽
Vol 12
(1)
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pp. 85-94
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2014 ◽
Vol 17
(01)
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pp. 1450003
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2013 ◽
Vol 34
(4)
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pp. 1210-1229
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Keyword(s):
2011 ◽
Vol 32
(6)
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pp. 1972-1990
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