2016Colloquium MathematicumRequires access

Mixing actions of zero entropy for countable amenable groups

Alexandre I. Danilenko

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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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What this paper is about

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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Available abstract

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

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