Conformal iterated function systems with overlaps

DOI10.1080/14689367.2010.497478zbMath1217.28006OpenAlexW2053576537MaRDI QIDQ3168715

Sze-Man Ngai, Qi-Rong Deng

Publication date: 19 April 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2010.497478

zbMATH Keywords

Hausdorff dimensiontopological pressureconformal iterated function systemweak separation conditionbounded distortion propertygrowth dimension

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (11)

Self-similarity, positive Lebesgue measure and nonempty interior ⋮ Thermodynamic formalism for invariant measures in iterated function systems with overlaps ⋮ Ruelle operator for infinite conformal iterated function systems ⋮ Separation conditions for iterated function systems with overlaps on Riemannian manifolds ⋮ Self‐conformal sets with positive Hausdorff measure ⋮ Dimensions of fractals generated by bi-Lipschitz maps ⋮ Weak separation condition, Assouad dimension, and Furstenberg homogeneity ⋮ Infinite iterated function systems with overlaps ⋮ The box dimensions of inhomogeneous self-conformal sets with overlaps ⋮ Dimensions in infinite iterated function systems consisting of bi-Lipschitz mappings ⋮ On the connected components of IFS fractals

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