Approximation of mixing transformations

DOI10.1134/S0001434614010271zbMath1370.37004MaRDI QIDQ2341980

Yanyan Li

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

spectral propertylimit operatormixing transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Nonsingular (and infinite-measure preserving) transformations (37A40)

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Conjugacy classes are dense in the space of mixing \(\mathbb{Z}^d\)-actions, Weak closures of ergodic actions, Group actions: Entropy, mixing, spectra, and generic properties, Ergodic homoclinic groups, Sidon constructions and Poisson suspensions, On the asymmetry of multiple asymptotic properties of ergodic actions

Cites Work

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• Ergodic Abelian actions with homogeneous spectrum
• Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions
• Generic Spectral Properties of Measure-Preserving Maps and Applications