Non-autonomous conformal iterated function systems and Moran-set constructions

DOI10.1090/tran/6490zbMath1404.28017arXiv1210.7469OpenAlexW1939533859MaRDI QIDQ2787963

Mariusz Urbański, Lasse Rempe-Gillen

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7469

Mathematics Subject Classification ID

Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dimension theory of smooth dynamical systems (37C45)

Related Items (18)

The exact value of Hausdorff dimension of escaping sets of class \(\mathcal{B}\) meromorphic functions ⋮ On topological entropy and topological pressure of non-autonomous iterated function systems ⋮ Dimensions of slices through the Sierpiński gasket ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ A variational principle of the topological pressures for non-autonomous iterated function systems ⋮ Quenched and annealed equilibrium states for random Ruelle expanding maps and applications ⋮ Shrinking targets for non-autonomous systems ⋮ Assouad-type dimensions of overlapping self-affine sets ⋮ Parametrizability of infinitely generated attractors ⋮ Range-renewal structure in continued fractions ⋮ Number theoretic applications of a class of Cantor series fractal functions. I ⋮ On the set where the iterates of an entire function are neither escaping nor bounded ⋮ Dynamics in the Eremenko-Lyubich class ⋮ Hereditarily non uniformly perfect non-autonomous Julia sets ⋮ Dimension results for inhomogeneous Moran set constructions ⋮ The Hausdorff dimension of some planar sets with unbounded digits ⋮ On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients ⋮ Uniformly perfect and hereditarily non uniformly perfect analytic and conformal non-autonomous attractor sets

Cites Work

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• Random graph directed Markov systems
• Hausdorff dimension of quasi-circles
• The finer geometry and dynamics of the hyperbolic exponential family
• Dimension results for inhomogeneous Moran set constructions
• Quasisymmetrically minimal Moran sets and Hausdorff dimension
• On Sullivan's conformal measures for rational maps of the Riemann sphere
• Analytic families of holomorphic iterated function systems
• Hyperbolic dimension and radial Julia sets of transcendental functions
• Lambda-topology versus pointwise topology
• On the fractional dimension of sets of continued fractions
• Dimensions and Measures in Infinite Iterated Function Systems
• Increasing digit subsystems of infinite iterated function systems
• Regularity properties of Hausdorff dimension in infinite conformal iterated function systems

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