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- W3089088518 abstract "In this paper, we consider entropy spectra on topological Markov shifts. We prove that if two measure-preserving dynamical systems of Gibbs measures with Holder continuous potentials are isomorphic, then their entropy spectra are the same. This result raises a new rigidity problem. We call this problem the weak rigidity problem, contrasting it with the strong rigidity problem proposed by Barreira and Saraiva. We give a complete answer to the weak rigidity problem for Markov measures on a topological Markov shift with an aperiodic transition matrix of size 2." @default.
- W3089088518 created "2020-10-01" @default.
- W3089088518 creator A5066158117 @default.
- W3089088518 date "2020-09-14" @default.
- W3089088518 modified "2023-10-16" @default.
- W3089088518 title "Weak rigidity of entropy spectra" @default.
- W3089088518 doi "https://doi.org/10.48550/arxiv.2009.06256" @default.
- W3089088518 hasPublicationYear "2020" @default.
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