Conformal graph directed Markov systems: beyond finite irreducibility

DOI10.4171/JFG/35zbMath1366.37057OpenAlexW2520716379MaRDI QIDQ329453

Mario Roy, Andrei E. Ghenciu, R. Daniel Mauldin

Publication date: 21 October 2016

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jfg/35

zbMATH Keywords

Hausdorff dimensioniterated function systemHausdorff measuregraph directed Markov system

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Unnamed Item
• The Hausdorff dimensions of some continued fraction Cantor sets
• Hausdorff dimension estimates for infinite conformal IFSs
• Hausdorff Dimension in Graph Directed Constructions
• Conformal iterated function systems with applications to the geometry of continued fractions
• Metrical diophantine approximation for continued fraction like maps of the interval
• Dimensions and Measures in Infinite Iterated Function Systems
• ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE

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