Upper semi-continuity of entropy in non-compact settings

DOI10.4310/MRL.2020.v27.n4.a4zbMath1462.37006arXiv1809.10022OpenAlexW3110864232MaRDI QIDQ1996260

Mike Todd, Godofredo Iommi, Anibal Velozo

Publication date: 4 March 2021

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10022

zbMATH Keywords

entropygenerating partitionloop systemmeasures of maximal entropycountable Markov shifts

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10)

Related Items (8)

Multifractal analysis for Markov interval maps with countably many branches ⋮ Escape of entropy for countable Markov shifts ⋮ On the generic behavior of the metric entropy, and related quantities, of uniformly continuous maps over Polish metric spaces ⋮ Effective intrinsic ergodicity for countable state Markov shifts ⋮ On generalized compensation functions for factor maps between shift spaces on countable alphabets ⋮ The space of invariant measures for countable Markov shifts ⋮ Pressure, Poincaré series and box dimension of the boundary ⋮ Continuity properties of Lyapunov exponents for surface diffeomorphisms

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