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Refined scales of weak-mixing dynamical systems: typical behaviour
Published online by Cambridge University Press: 26 June 2019
Abstract
We study sets of measure-preserving transformations on Lebesgue spaces with continuous measures taking into account extreme scales of variations of weak mixing. It is shown that the generic dynamical behaviour depends on subsequences of time going to infinity. We also present corresponding generic sets of (probability) invariant measures with respect to topological shifts over finite alphabets and Axiom A diffeomorphisms over topologically mixing basic sets.
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- © Cambridge University Press, 2019
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