Compact families and typical entropy invariants of measure-preserving actions

11 Feb 2021 Valery V. Ryzhikov

For a compact set of actions, an invariant of Kushnirenko's entropy type is chosen in such a way that on this set it is equal to zero, but will be infinity for typical actions. As a consequence, we show that typical measure-preserving transformations are not isomorphic to geometric shape exchange transformations... (read more)

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  • DYNAMICAL SYSTEMS