Infinite graph-directed systems and Hausdorff dimension

DOI10.1515/wwfaa-2017-0008zbMath1431.28014OpenAlexW2789418749MaRDI QIDQ1714885

Amit Priyadarshi

Publication date: 1 February 2019

Published in: Waves, Wavelets and Fractals. Advanced Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/wwfaa-2017-0008

zbMATH Keywords

spectral radiusHausdorff dimensioniterated function systemsPerron-Frobenius operatorsgraph-directed systems

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Fractals (28A80) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

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• Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure
• The Hutchinson-Barnsley theory for infinite iterated function systems
• Contraction ratios for graph-directed iterated constructions

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