On mixing and entropy
Copyright policy )On mixing and entropy
The purpose of this note is to continue the effort initiated in [7] of formulating sequence entropy characterizations of mixing properties of measure-preserving transformations. Theorem 5 of [7] is extended to include partially mixing automorphisms of arbitrary type. A sufficient condition for a transformation to be intermixing is given and related results discussed. Finally, a Berg type characterization of independent factors of a weakly mixing transformation is given.
- Loyola University Chicago United States
sequence entropy, measure-preserving transformation, Applied Mathematics, weak mixing, mixing, intermixing, Entropy and other invariants, Measure-preserving transformations, automorphism of a Lebesgue space, partial mixing, Analysis
sequence entropy, measure-preserving transformation, Applied Mathematics, weak mixing, mixing, intermixing, Entropy and other invariants, Measure-preserving transformations, automorphism of a Lebesgue space, partial mixing, Analysis
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