Scaling entropy and automorphisms with pure point spectrum

DOI10.1090/S1061-0022-2011-01187-2zbMath1251.37009arXiv1008.4946OpenAlexW2963401371MaRDI QIDQ3119072

Anatoly M. Vershik

Publication date: 7 March 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4946

zbMATH Keywords

pure point spectrumadmissible metricscaling sequencescaling entropyPascal automorphism

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items

On the possible growth rate of a scaling entropy sequence, On the subadditivity of a scaling entropy sequence, The scaling entropy of a generic action, Special flow, weak mixing and complexity., Slow entropy of some combinatorial constructions, Geometry and dynamics of admissible metrics in measure spaces, Dynamics of metrics in measure spaces and scaling entropy, Non-existence of a universal zero entropy system for non-periodic amenable group actions, Correction of metrics, Scaling entropy of unstable systems, Scaling entropy sequence: invariance and examples, Discrete spectrum for amenable group actions

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