Recent advances in invariance principles for stationary sequences.
Merlevède, Florence, Peligrad, Magda, Utev, Sergey (2006)
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Merlevède, Florence, Peligrad, Magda, Utev, Sergey (2006)
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Xuejun, Wang, Shuhe, Hu, Wenzhi, Yang, Yan, Shen (2010)
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Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
Xuejun, Wang, Shuhe, Hu, Yan, Shen, Wenzhi, Yang (2009)
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Nam, Eunwoo (2004)
Journal of Applied Mathematics and Stochastic Analysis
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