A COMPUTATIONAL ERGODIC THEOREM FOR INFINITE ITERATED FUNCTION SYSTEMS

DOI10.1142/S0219493708002354zbMath1164.37003OpenAlexW1993839114MaRDI QIDQ3548294

Stefan Siegmund, Nguyen Dinh Cong, Doan Thai Son

Publication date: 11 December 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493708002354

zbMATH Keywords

ergodic theoremrandom dynamical systemiterated functions system

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Random dynamical systems (37H99)

Related Items (6)

Physical measures for certain class of non-uniformly hyperbolic endomorphisms on the solid torus ⋮ On weakly hyperbolic iterated function systems ⋮ Invariant measure for infinite weakly hyperbolic iterated function systems ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ On \(\mathbb {P}\)-weakly hyperbolic iterated function systems ⋮ Difference equations with random delay

Cites Work

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• Asymptotic behaviors of dynamical systems with random parameters
• Ergodic theorem for infinite iterated function systems
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• Iterated function systems and the global construction of fractals
• A classical ergodic property for IFS: a simple proof
• RIGOROUS NUMERICAL ESTIMATION OF LYAPUNOV EXPONENTS AND INVARIANT MEASURES OF ITERATED FUNCTION SYSTEMS AND RANDOM MATRIX PRODUCTS
• Products of Random Matrices

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