Weak rigidity of entropy spectra
نویسندگان
چکیده
In this paper, we consider entropy spectra on topological Markov shifts. We prove that if two measure-preserving dynamical systems of Gibbs measures with Hölder continuous potentials are isomorphic, then their the same. This result raises a new rigidity problem. call problem weak problem, contrasting it strong proposed by Barreira and Saraiva. give complete answer to for shift 2×2 aperiodic transition matrix. Moreover, show ‘non-rigidity’ holds certain 3×3
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ژورنال
عنوان ژورنال: Dynamical Systems-an International Journal
سال: 2021
ISSN: ['1468-9375', '1468-9367']
DOI: https://doi.org/10.1080/14689367.2021.1876841