Möbius iterated function systems

DOI10.1090/S0002-9947-2012-05624-8zbMath1286.28009MaRDI QIDQ4915342

Andrew Vince

Publication date: 10 April 2013

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

zbMATH Keywords

Möbius transformationsiterated function systems

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (14)

Transition phenomena for the attractor of an iterated function system* ⋮ Periodic orbits in the Ott–Antonsen manifold ⋮ A Class of M\"obius Iterated Function Systems ⋮ Diameter diminishing to zero IFSs ⋮ Generalized \(F\)-iterated function systems on product of metric spaces ⋮ Hilbert geometry without convexity ⋮ Random iteration for infinite nonexpansive iterated function systems ⋮ Chaos game for IFSs on topological spaces ⋮ Non-hyperbolic iterated function systems: semifractals and the chaos game ⋮ On the exponential growth of norms in semigroups of linear endomorphisms and the Hausdorff dimension of attractors of projective iterated function systems ⋮ BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS ⋮ The Chaos Game on a General Iterated Function System from a Topological Point of View ⋮ Developments in fractal geometry ⋮ Stereographic metric and dimensions of fractals on the sphere

Cites Work

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• \(V\)-variable fractals: Fractals with partial self similarity
• Bounded semigroups of matrices
• Real projective iterated function systems
• A Characterization of Hyperbolic Affine Iterated Function Systems
• Projective metrics and contraction principles for complex cones
• FRACTAL IMAGE COMPRESSION

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