Éléments ergodiques et totalement ergodiques dans
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Françoise Lust-Piquard (1981)
Studia Mathematica
Kieffer, John, Yang, En-hui (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Francesco Cellarosi, Jakov G. Sinaj (2013)
Journal of the European Mathematical Society
We construct a natural invariant measure concentrated on the set of square-free numbers, and invariant under the shift. We prove that the corresponding dynamical system is isomorphic to a translation on a compact, Abelian group. This implies that this system is not weakly mixing and has zero measure-theoretical entropy.
Jaroslav Mohapl (1993)
Mathematica Slovaca
G. Krupa (1998)
Studia Mathematica
Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in are considered. Techniques used here are inspired by [3].
Štefan Šujan (1983)
Kybernetika
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