Intrinsic Ergodicity, Generators, and Symbolic Representations of Algebraic Group Actions

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发表日期：

2024年3月1日

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Hanfeng Li,
Klaus Schmidt

摘要

Abstract

We construct natural symbolic representations of intrinsically ergodic, but not necessarily expansive, principal algebraic actions of countably infinite amenable groups and use these representations to find explicit generating partitions (up to null-sets) for such actions.