Ergodic theorem for infinite iterated function systems

DOI10.1007/BF02465385zbMath1144.37302OpenAlexW1965765257MaRDI QIDQ939854

Yong-Hwa Ro, Won-Gun Kil, Hyong-chol O

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465385

zbMATH Keywords

invariant measureiterated function systemergodic theoremrandom iterating algorithm

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80)

Related Items (3)

The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ A COMPUTATIONAL ERGODIC THEOREM FOR INFINITE ITERATED FUNCTION SYSTEMS ⋮ Invariant (fractal) vector measures as fixed points of Markov-type operators

Cites Work

• A generalization of IFS with probabilities to infinitely many maps
• An ergodic theorem for iterated maps
• A classical ergodic property for IFS: a simple proof
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