Hausdorff dimension estimates for infinite conformal IFSs

DOI10.1088/0951-7715/15/3/312zbMath1015.37019OpenAlexW2073161981MaRDI QIDQ3147375

Mariusz Urbański, Stefan-M. Heinemann

Publication date: 12 November 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/3/312

zbMATH Keywords

algorithmHausdorff dimensionnumerical calculationsestimates on the accuracyinfinite conformal iterated functions system

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

Related Items (9)

Intermediate dimensions of infinitely generated attractors ⋮ Conformal graph directed Markov systems: beyond finite irreducibility ⋮ Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods ⋮ On the dimension spectra of infinite conformal iterated function systems ⋮ The dimension spectrum of conformal graph directed Markov systems ⋮ Parametrizability of infinitely generated attractors ⋮ Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism ⋮ A new approach to numerical computation of Hausdorff dimension of iterated function systems: applications to complex continued fractions ⋮ On the dimension spectrum of infinite subsystems of continued fractions

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