The Chaos Game on a General Iterated Function System from a Topological Point of View

DOI10.1142/S0218127414501399zbMath1304.28003arXiv1203.0481OpenAlexW2114544760WikidataQ108609959 ScholiaQ108609959MaRDI QIDQ5496766

Krzysztof Leśniak, Michael F. Barnsley

Publication date: 28 January 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0481

zbMATH Keywords

porous setdisjunctive sequencerandom orbit

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stochastic processes (60G99) Fractals (28A80)

Related Items (17)

Some stochastic properties of topological dynamics of semigroup actions ⋮ Attracting graphs of skew products with non-contracting fiber maps ⋮ Physical measures for certain class of non-uniformly hyperbolic endomorphisms on the solid torus ⋮ Random iteration for infinite nonexpansive iterated function systems ⋮ Strongly-Fibred Iterated Function Systems and the Barnsley–Vince triangle ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ Addendum and corrigendum to: ``On the chaos game of iterated function systems ⋮ A NEW EXAMPLE OF A DETERMINISTIC CHAOS GAME ⋮ Necessary/sufficient conditions for the chaos game to render quasi attractors ⋮ A note on iterated function systems with discontinuous probabilities ⋮ Density of fiberwise orbits in minimal iterated function systems on the circle ⋮ Non-hyperbolic iterated function systems: semifractals and the chaos game ⋮ Homoclinic attractors in discontinuos iterated function systems ⋮ Time-dependent iteration of random functions ⋮ Iterated function systems -- a topological approach. Attractors ⋮ Developments in fractal geometry ⋮ Iterated Function Systems with the Weak Average Contraction Conditions

Cites Work

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• Convexity and well-posed problems
• \(V\)-variable fractals: Fractals with partial self similarity
• Real projective iterated function systems
• On \(\sigma\)-porous sets in abstract spaces
• Developments in fractal geometry
• A survey of average contractive iterated function systems
• The chaos game on a general iterated function system
• Entropy and Information Theory
• Fractal-Based Methods in Analysis
• Conley decomposition for closed relations
• Iterated Function Systems for Real-Time Image Synthesis
• Iterated function systems and the global construction of fractals
• An ergodic theorem for iterated maps
• Porous Sets in Best Approximation Theory
• Generalisations of disjunctive sequences
• Porosity,  -porosity and measures
• Möbius iterated function systems
• ON DISCRETE STOCHASTIC PROCESSES WITH DISJUNCTIVE OUTCOMES

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