Displaying similar documents to “A duality principle for stationary random sequences”

On some properties of the class of stationary sets

Pascal Lefevre (1998)

Colloquium Mathematicae

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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.