Continuity of isomorphisms applied to rigidity problems of entropy spectra
DOI10.1080/14689367.2023.2178388arXiv2110.05108OpenAlexW4286906128MaRDI QIDQ6162840
Publication date: 26 June 2023
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.05108
Gibbs measuresmeasure-preserving systemsentropy spectracontinuity of isomorphismsrigidity of entropy spectra
Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Topological entropy (37B40) Symbolic dynamics (37B10)
Cites Work
- Unnamed Item
- Non-negative matrices and Markov chains. 2nd ed
- Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
- Rigidity of entropy spectra for one-parameter family of polynomials
- The zero set of a real analytic function
- Multifractal rigidity for piecewise linear Markov maps
- On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity
- Weak rigidity of entropy spectra
- A counterexample to the multifractal rigidity conjecture of piecewise linear Markov maps of the interval
This page was built for publication: Continuity of isomorphisms applied to rigidity problems of entropy spectra