A Characterization of Hyperbolic Affine Iterated Function Systems
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Publication:3562029
zbMath1196.28011arXiv0908.1416MaRDI QIDQ3562029
Ross Atkins, Michael F. Barnsley, Andrew Vince, David C. Wilson
Publication date: 20 May 2010
Full work available at URL: https://arxiv.org/abs/0908.1416
Fixed-point and coincidence theorems (topological aspects) (54H25) Fractals (28A80) Iteration of real functions in one variable (26A18)
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Transition phenomena for the attractor of an iterated function system* ⋮ Affine transformations of hyperbolic number plane ⋮ Diameter diminishing to zero IFSs ⋮ Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations ⋮ Real projective iterated function systems ⋮ A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ Stability of multivalued attractor ⋮ On a question of A. Kameyama concerning self-similar metrics ⋮ Möbius iterated function systems ⋮ A computational journey into the mind ⋮ Alternative characterization of hyperbolic affine infinite iterated function systems ⋮ A sufficient condition for a finite family of continuous functions to be transformed into ψ-contractions ⋮ GENERALIZED ITERATED FUNCTION SYSTEMS ON HYPERBOLIC NUMBER PLANE ⋮ On hyperbolic affine generalized infinite iterated function systems ⋮ Developments in fractal geometry ⋮ Stereographic metric and dimensions of fractals on the sphere
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