Compact families and typical entropy invariants of measure-preserving actions-Reference-Cited by-同舟云学术

Compact families and typical entropy invariants of measure-preserving actions

Published:2022-03-15 Issue:0 Volume:82 Page:117-123
ISSN:0077-1554
Container-title:Transactions of the Moscow Mathematical Society
language:en
Short-container-title:Trans. Moscow Math. Soc.

Author:

Ryzhikov V.

Abstract

For a compact set of actions, an entropy of Kushnirenko type is chosen in such a way that it vanishes on this set but takes infinite values for the typical actions. As a consequence we find that typical measure-preserving transformations are not isomorphic to isometric rearrangements of a finite set of geometric figures.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

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