FRACTALS, SEMIFRACTALS AND MARKOV OPERATORS

DOI10.1142/S0218127499000195zbMath0973.28004OpenAlexW2002220260MaRDI QIDQ4941647

Józef Myjak, Andrzej Lasota

Publication date: 27 November 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000195

zbMATH Keywords

Markov processesfractalsMarkov operatorsiterated function systemsIFS

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Topological dynamics (37B99) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38) Fractals (28A80)

Related Items (7)

Explicit expressions and computational methods for the Fortet-Mourier distance of positive measures to finite weighted sums of Dirac measures ⋮ Non-hyperbolic iterated function systems: semifractals and the chaos game ⋮ An ergodic decomposition defined by transition probabilities ⋮ METRIC AND TOPOLOGICAL MULTIVALUED FRACTALS ⋮ Multivalued fractals ⋮ Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations ⋮ MULTIVALUED FRACTALS AND HYPERFRACTALS

Cites Work

• Unnamed Item
• Some convergence theorems for stochastic learning models with distance diminishing operators
• Some random walks arising in learning models. I
• An ergodic theorem for iterated maps
• Convergence de la répartition empirique vers la répartition théorique

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