A shift map with a discontinuous entropy function

DOI10.3934/DCDS.2020012zbMath1432.37009arXiv1803.02440OpenAlexW2981153931MaRDI QIDQ2281572

Christian Wolf

Publication date: 3 January 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02440

zbMATH Keywords

multifractal analysisdiscontinuityrotation setentropy spectrumlocalized entropy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Topological entropy (37B40)

Related Items (4)

Higher-dimensional nonlinear thermodynamic formalism ⋮ Nonlinear thermodynamic formalism for flows ⋮ A horseshoe with a discontinuous entropy spectrum ⋮ Entropy spectrum of rotation classes

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