Multifractal nonrigidity of topological Markov chains

DOI10.1007/s10955-007-9429-3zbMath1131.37009OpenAlexW2004807855MaRDI QIDQ2473362

Luis Barreira, Vitor Saraiva

Publication date: 27 February 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-007-9429-3

zbMATH Keywords

multifractal analysisentropy spectrummultifractal rigidity

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80)

Related Items (6)

Dimension spectra of hyperbolic flows ⋮ Rigidity of entropy spectra for one-parameter family of polynomials ⋮ The thermodynamic approach to multifractal analysis ⋮ Multifractal rigidity for piecewise linear Markov maps ⋮ Weak rigidity of entropy spectra ⋮ A counterexample to the multifractal rigidity conjecture of piecewise linear Markov maps of the interval

Cites Work

• Free energy as a dynamical invariant (or can you hear the shape of a potential?)
• Multifractal spectra and multifractal rigidity for horseshoes
• Automorphisms of one-sided subshifts of finite type
• Thermodynamic Formalism
• On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity

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