Geodesic
Intrinsic ergodicity, generators, and symbolic representations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 58 (2024) no. 1, pp. 50-83

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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.
Mots-clés : principal algebraic actions, summable homoclinic points.
Keywords: symbolic representations, generating partitions, intrinsic ergodicity 
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Hanfeng Li; Klaus Schmidt. Intrinsic ergodicity, generators, and symbolic representations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 58 (2024) no. 1, pp. 50-83. http://geodesic.mathdoc.fr/item/FAA_2024_58_1_a4/