Random iteration for infinite nonexpansive iterated function systems

DOI10.1063/1.4929387zbMath1374.37025OpenAlexW1950644416WikidataQ50860690 ScholiaQ50860690MaRDI QIDQ4591738

Krzysztof Leśniak

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4929387

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80)

Related Items (8)

The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ Small and minimal attractors of an IFS ⋮ A NEW EXAMPLE OF A DETERMINISTIC CHAOS GAME ⋮ Necessary/sufficient conditions for the chaos game to render quasi attractors ⋮ Attractors of compactly generated semigroups of regular polynomial mappings ⋮ Contractive iterated function systems enriched with nonexpansive maps ⋮ Weakly contractive iterated function systems and beyond: a manual ⋮ Iterated function systems enriched with symmetry

Cites Work

• Random iteration for non-expansive iterated function systems: derandomised algorithm
• On a question of A. Kameyama concerning self-similar metrics
• Density of fiberwise orbits in minimal iterated function systems on the circle
• Random backward iteration algorithm for Julia sets of rational semigroups
• The origins of combinatorics on words
• Chaos game for IFSs on topological spaces
• \(V\)-variable fractals: Fractals with partial self similarity
• Faster fractal pictures by finite fields and far rings
• Direct and inverse computation of Jacobi matrices of infinite iterated function systems
• Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets
• Quantum Fractals
• The chaos game on a general iterated function system
• Fractal-Based Methods in Analysis
• Iterated Random Functions
• Infinite Iterated Function Systems
• Lipscomb’s universal space is the attractor of an infinite iterated function system
• Möbius iterated function systems
• ON DISCRETE STOCHASTIC PROCESSES WITH DISJUNCTIVE OUTCOMES
• The Chaos Game on a General Iterated Function System from a Topological Point of View
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