The chaos game on a general iterated function system

From MaRDI portal
Publication:3018653

DOI10.1017/S0143385710000428zbMath1221.37079arXiv1005.0322MaRDI QIDQ3018653

Michael F. Barnsley, Andrew Vince

Publication date: 27 July 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0322




Related Items

Geometry of measures in random systems with complete connectionsChaos Game RepresentationSome stochastic properties of topological dynamics of semigroup actionsTransition phenomena for the attractor of an iterated function system*Contractive affine generalized iterated function systems which are topologically contractingOn weakly hyperbolic iterated function systemsOptimal transportation and stationary measures for iterated function systemsOn generalization of Sierpiński gasket in Lobachevskii planeRandom iteration for infinite nonexpansive iterated function systemsThe Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systemsContinuous global optimization on fractals through \(\alpha\)-dense curvesOn \(\mathbb {P}\)-weakly hyperbolic iterated function systemsDISTINGUISHING BETWEEN SIERPINSKI TRIANGLE CONSTRUCTIONSChaos game for IFSs on topological spacesHistopolating fractal functionsIterated function systems based on the degree of nondensifiabilityNecessary/sufficient conditions for the chaos game to render quasi attractorsA note on iterated function systems with discontinuous probabilitiesDensity of fiberwise orbits in minimal iterated function systems on the circleNon-hyperbolic iterated function systems: semifractals and the chaos gameBivariate shape preserving interpolation: a fractal-classical hybrid approachFractal tilings from iterated function systemsBilinear fractal interpolation and box dimensionTilings from graph directed iterated function systemsTime-dependent iteration of random functionsOn the connection between a skew product IFS and the ergodic optimization for a finite family of potentialsON DISCRETE STOCHASTIC PROCESSES WITH DISJUNCTIVE OUTCOMESThe Chaos Game on a General Iterated Function System from a Topological Point of ViewDevelopments in fractal geometryTHE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEMEXTENSIONS OF THE SHANNON ENTROPY AND THE CHAOS GAME ALGORITHM TO HYPERBOLIC NUMBERS PLANEIterated Function Systems with the Weak Average Contraction Conditions



Cites Work