A topological dynamical system with two different positive sofic entropies

DOI10.1090/btran/101zbMath1497.37013arXiv1911.08272OpenAlexW2991163907MaRDI QIDQ5064902

Yuqing Frank Lin, Dylan Airey, Lewis Phylip Bowen

Publication date: 17 March 2022

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08272

zbMATH Keywords

random hypergraphssofic entropy

Mathematics Subject Classification ID

Hypergraphs (05C65) Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25) Multidimensional shifts of finite type (37B51)

Related Items (2)

The relative f-invariant and non-uniform random sofic approximations ⋮ The Lanford–Ruelle theorem for actions of sofic groups

Cites Work

• Unnamed Item
• Entropy and the variational principle for actions of sofic groups
• Ergodic theory and statistical mechanics
• Soficity, amenability, and dynamical entropy
• ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
• Random k‐SAT: Two Moments Suffice to Cross a Sharp Threshold
• Measure conjugacy invariants for actions of countable sofic groups
• Examples in the entropy theory of countable group actions
• Topological Entropy
• The condensation transition in random hypergraph 2-coloring

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