Divisibility of integer Laurent polynomials, homoclinic points, and lacunary independence

DOI10.1007/S13226-024-00650-ZMaRDI QIDQ6623999

Douglas Lind, Klaus Schmidt

Publication date: 24 October 2024

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Topological entropy (37B40) General groups of measure-preserving transformations and dynamical systems (37A15) Relations between ergodic theory and number theory (37A44)

Cites Work

• Entropy on discrete Abelian groups
• Ergodic group automorphisms are exponentially recurrent
• Bernoulli schemes of the same entropy are finitarily isomorphic
• Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups
• Homoclinic groups, IE groups, and expansive algebraic actions
• Toral algebraic sets and function theory on polydisks
• Homoclinic points, atoral polynomials, and periodic points of algebraic \(\mathbb{Z}^d\)-actions
• Entropy and growth rate of periodic points of algebraic Z^d-actions
• Homoclinic points of algebraic $\mathbb {Z}^d$-actions
• Uniform Bound for the Number of Rational Points on a Pencil of Curves
• Functional Analysis, Spectral Theory, and Applications
• Ergodic Theory
• Dynamical systems of algebraic origin

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