Conformal Markov systems, Patterson-Sullivan measure on limit sets and spectral triples
DOI10.3934/dcds.2016.36.2711zbMath1359.37047OpenAlexW2524392574MaRDI QIDQ256234
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2711
Patterson-Sullivan measureDixmier tracespectral tripleconformal graph directed Markov systemconformal measure
Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Noncommutative geometry (à la Connes) (58B34) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems and the theory of (C^*)-algebras (37A55)
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