scientific article; zbMATH DE number 7406838

zbMath1476.60055MaRDI QIDQ5154988

Anna Zdunik, Tomasz Szarek

Publication date: 5 October 2021

Full work available at URL: http://www.mathjournals.org/mmj/2021-021-001/2021-021-001-006.html

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zbMATH Keywords

invariant measurescentral limit theoremsMarkov operatorsiterated function systems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Probability distributions: general theory (60E05) Ergodicity, mixing, rates of mixing (37A25) Stability theory for random and stochastic dynamical systems (37H30)

Related Items (3)

Markovian random iterations of homeomorphisms of the circle ⋮ Random iterations of homeomorphisms on the circle ⋮ Limits theorems for random walks on homeo\(( \mathrm{S}^1)\)

Cites Work

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• Central limit theorem for Markov processes with spectral gap in the Wasserstein metric
• On ergodicity of some Markov processes
• Groups acting on the circle.
• Random walks on \(\mathrm{Homeo}(S^1)\)
• Random iterations of homeomorphisms on the circle
• Equicontinuous families of Markov operators in view of asymptotic stability
• Central limit theorems for additive functionals of Markov chains.
• On one-dimensional dynamics in intermediary regularity
• Stability of iterated function systems on the circle
• Stability of the Markov operator and synchronization of Markovian random products
• The rate of convergence for function systems on the circle

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