Non-existence of a universal zero entropy system for non-periodic amenable group actions

DOI10.1007/s11856-022-2374-7OpenAlexW3094491515MaRDI QIDQ2698440

Georgii Veprev

Publication date: 24 April 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09806

Mathematics Subject Classification ID

Ergodic theory (37Axx) Topological dynamics (37Bxx) Measure-theoretic ergodic theory (28Dxx)

Related Items (2)

Slow entropy of some combinatorial constructions ⋮ Dynamics of metrics in measure spaces and scaling entropy

Cites Work

• Unnamed Item
• Scaling entropy sequence: invariance and examples
• Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
• Measure-theoretic complexity of ergodic systems
• Universal systems for entropy intervals
• Geometry and dynamics of admissible metrics in measure spaces
• Non-existence of a universal zero-entropy system
• Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph
• Universal minimal topological dynamical systems
• Scaling entropy and automorphisms with pure point spectrum
• Dynamics of metrics in measure spaces and their asymptotic invariants
• Universal adic approximation, invariant measures and scaled entropy
• On Entropy and Generators of Measure-Preserving Transformations
• Ergodic Theory

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