Mixing actions of zero entropy for countable amenable groups
Alexandre I. Danilenko
Abstract
Alexandre I. Danilenko
Abstract
It is shown that each discrete countable infinite amenable group admits a 0-entropy mixing free action on a standard probability space.
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It is shown that each discrete countable infinite amenable group admits a 0-entropy mixing free action on a standard probability space.
Key concepts: Mathematics, Amenable group, Countable set, Mixing (physics), Zero (linguistics), Entropy (arrow of time), Pure mathematics, Statistical physics