Thermodynamic formalism and \(k\)-Bonacci substitutions

DOI10.3934/dcds.2017157zbMath1360.37079arXiv1602.08340OpenAlexW2286825026MaRDI QIDQ524514

Jordan Emme

Publication date: 3 May 2017

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

Full work available at URL: https://arxiv.org/abs/1602.08340

zbMATH Keywords

thermodynamic formalismsymbolic dynamicssubstitutionsword combinatoricspressure function

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

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Cites Work

• Renormalization, thermodynamic formalism and quasi-crystals in subshifts
• Substitution dynamical systems. Spectral analysis
• Power of words and recognizability of fixpoints of a substitution
• Complexity and special factors
• Low-temperature phase transitions in the quadratic family
• THE POTENTIAL POINT OF VIEW FOR RENORMALIZATION
• Renormalization, freezing phase transitions and Fibonacci quasicrystals
• Nombres algébriques et substitutions
• Représentation géométrique de suites de complexité $2n+1$
• Linearly recurrent subshifts have a finite number of non-periodic subshift factors
• Thermodynamic Formalism
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Phase transitions for countable Markov shifts

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