Contracting on average random IFS with repelling fixed point

DOI10.1007/s10955-005-8013-4zbMath1127.28007OpenAlexW2032350529MaRDI QIDQ2492850

Hajnal R. Tóth, Károly Simon, Ai-Hua Fan

Publication date: 14 June 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-005-8013-4

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Fractals (28A80) Ergodic theory (37A99) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Almost complete Lyapunov spectrum in step skew-products ⋮ Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity) ⋮ On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS ⋮ DISTRIBUTION OF LINEAR FRACTAL INTERPOLATION FUNCTION FOR RANDOM DATASET WITH STABLE NOISE ⋮ Iterated Function Systems with the Weak Average Contraction Conditions

Cites Work

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• Ergodic theorems. With a supplement by Antoine Brunel
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• On Hausdorff dimension of invariant measures arising from non-contractive iterated function systems
• Invariant measures for parabolic IFS with overlaps and random continued fractions
• A new class of markov processes for image encoding
• Iterated Random Functions
• Random Series in Powers of Algebraic Integers: Hausdorff Dimension of the Limit Distribution
• Sur les dimensions de mesures

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