CONTINUITY OF THE HAUSDORFF DIMENSION FOR GRAPH-DIRECTED SYSTEMS

DOI10.1017/S0004972716000472zbMath1362.37097MaRDI QIDQ2976279

Amit Priyadarshi

Publication date: 28 April 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral radiusHausdorff dimensionpositive operatorsiterated function systemsgraph-directed systems

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Positive linear operators and order-bounded operators (47B65) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES

Cites Work

• Unnamed Item
• A new variation of Bowen's formula for graph directed Markov systems
• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• Separation properties for graph-directed self-similar fractals
• Positive operators and Hausdorff dimension of invariant sets
• Graph directed Markov systems on Hilbert spaces
• Linear Operators in Complete Positive Cones
• Self-similar sets in complete metric spaces
• Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure
• Contraction ratios for graph-directed iterated constructions

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