DISTRIBUTIONAL AND LOCAL LIMIT LAWS FOR A CLASS OF ITERATED MAPS THAT CONTRACT ON AVERAGE

DOI10.1142/S0219493712500190zbMath1353.37047MaRDI QIDQ4922066

Charles Walkden, Sara Santos

Publication date: 28 May 2013

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

zbMATH Keywords

transfer operatorsiterated function schemesstable limit laws

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Optimal transportation and stationary measures for iterated function systems ⋮ Random‐like properties of chaotic forcing

Cites Work

• Implicit renewal theory and tails of solutions of random equations
• Random difference equations and renewal theory for products of random matrices
• A multiplicative ergodic theorem for Lipschitz maps
• Characteristic functions of random variables attracted to 1-stable laws
• Central limit theorem and stable laws for intermittent maps
• Central limit theorems for iterated random Lipschitz mappings.
• Some random walks arising in learning models. I
• Invariance principles for iterated maps that contract on average
• An ergodic theorem for iterated maps
• Iterated Random Functions
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS

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