Support stability of maximizing measures for shifts of finite type

DOI10.1017/etds.2019.69zbMath1490.37023OpenAlexW2979654374WikidataQ114119493 ScholiaQ114119493MaRDI QIDQ5019559

Juliano S. Gonschorowski, Jason Siefken, Anthony N. Quas

Publication date: 10 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2019.69

zbMATH Keywords

symbolic dynamicstilingsclassical ergodic theory

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Symbolic dynamics (37B10) Tiling dynamics (37B52) Multidimensional shifts of finite type (37B51)

Cites Work

• Ground states are generically a periodic orbit
• Every ergodic measure is uniquely maximizing
• \(\mathbb Z^d\) Toeplitz arrays
• A partial order on \(\times 2\)-invariant measures
• On the dynamics and recursive properties of multidimensional symbolic systems
• Ergodic optimization
• Undecidability and nonperiodicity for tilings of the plane
• Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings
• Optimal orbits of hyperbolic systems
• On the finite-dimensional marginals of shift-invariant measures

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