A generalization of IFS with probabilities to infinitely many maps

DOI10.1216/rmjm/1181071754zbMath0995.37010OpenAlexW2072697825MaRDI QIDQ1293512

Franklin Mendivil

Publication date: 21 November 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/RMJ28-3/cont28-3/cont28-3.html

zbMATH Keywords

error estimatesinvariant measureiterated function systemcontractivityinvariant distributionconvergence of integralsMonge-Kantorovich metric

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodicity, mixing, rates of mixing (37A25) Dynamical aspects of cellular automata (37B15) Special maps on metric spaces (54E40)

Related Items (22)

Invariant measures of Markov operators associated to iterated function systems consisting of \(\varphi\)-max-contractions with probabilities ⋮ A generalization of the Hutchinson measure ⋮ On weakly hyperbolic iterated function systems ⋮ Invariant measure for infinite weakly hyperbolic iterated function systems ⋮ Minkowski's question mark measure ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ On \(\mathbb {P}\)-weakly hyperbolic iterated function systems ⋮ Optimality and complexity in measured quantum-state stochastic processes ⋮ The existence of the attractor of countable iterated function systems ⋮ Direct and inverse computation of Jacobi matrices of infinite iterated function systems ⋮ CT-scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems ⋮ Dynamical systems and numerical analysis: The study of measures generated by uncountable I.F.S. ⋮ Generalized iterated function systems with place dependent probabilities ⋮ Invariant measure associated with a generalized countable iterated function system ⋮ A COMPUTATIONAL ERGODIC THEOREM FOR INFINITE ITERATED FUNCTION SYSTEMS ⋮ Ergodic theorem for infinite iterated function systems ⋮ Refinable functions, functionals, and iterated function systems ⋮ Operators on spaces of functions and measures. Vector invariant (fractal) measures ⋮ Alternative characterization of hyperbolic affine infinite iterated function systems ⋮ Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures ⋮ On hyperbolic affine generalized infinite iterated function systems ⋮ Invariant (fractal) vector measures as fixed points of Markov-type operators

Cites Work

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