Resonances for graph directed Markov systems

DOI10.14321/realanalexch.37.1.0083zbMath1350.37025OpenAlexW1482749873MaRDI QIDQ418208

Martial R. Hille

Publication date: 28 May 2012

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1335806765

zbMATH Keywords

Hausdorff dimensionzeta functiongraph directed Markov systems

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Markov maps associated with Fuchsian groups
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• On periodic points
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• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• La théorie de Fredholm
• Repellers for real analytic maps
• Fractal Geometry, Complex Dimensions and Zeta Functions
• A Lefschetz fixed point formula for elliptic differential operators
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