On the absence of invariant measures with locally maximal entropy for a class of ℤ^{𝕕} shifts of finite type

DOI10.1090/S0002-9939-99-05215-6zbMath0934.28011OpenAlexW1505435042MaRDI QIDQ4257664

E. Arthur jun. Robinson, Ayşe A. Şahin

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05215-6

zbMATH Keywords

invariant measuresymbolic dynamicstopological entropystrong mixingergodic theorysubshifts of finite type\(\mathbb{Z}^d\) actionmaximal entropy

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (4)

Arcwise connectedness of the set of ergodic measures of hereditary shifts ⋮ Gate lattices and the stabilized automorphism group ⋮ Borel complexity of sets of normal numbers via generic points in subshifts with specification ⋮ Verification of mixing properties in two-dimensional shifts of finite type

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