STABLE LIMITS FOR PROBABILITY PRESERVING MAPS WITH INDIFFERENT FIXED POINTS

DOI10.1142/S0219493703000620zbMath1035.37001MaRDI QIDQ4808002

Roland Zweimüller

Publication date: 2003

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

zbMATH Keywords

central limit theoremstable limit distributionsindifferent fixed points

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05)

Related Items (20)

An invariance principle for maps with polynomial decay of correlations ⋮ Distributional limit theorems in infinite ergodic theory ⋮ On almost-sure versions of classical limit theorems for dynamical systems ⋮ Critical intermittency in random interval maps ⋮ Hitting times and positions in rare events ⋮ Doubly intermittent full branch maps with critical points and singularities ⋮ Persistent non-statistical dynamics in one-dimensional maps ⋮ Functional correlation decay and multivariate normal approximation for non-uniformly expanding maps ⋮ A functional stable limit theorem for Gibbs-Markov maps ⋮ Superdiffusive limits for deterministic fast-slow dynamical systems ⋮ ASYMPTOTIC DISTRIBUTIONS AND LARGE DEVIATIONS FOR ITERATED MAPS WITH AN INDIFFERENT FIXED POINT ⋮ Algorithmic information for interval maps with an indifferent fixed point and infinite invariant measure ⋮ Hitting-time limits for some exceptional rare events of ergodic maps ⋮ WEAK CONVERGENCE TO LÉVY STABLE PROCESSES IN DYNAMICAL SYSTEMS ⋮ Convergence to equilibrium for intermittent symplectic maps ⋮ Convergence to Lévy stable processes under some weak dependence conditions ⋮ Functional limit theorem for occupation time processes of intermittent maps ⋮ Asymptotic Counting in Conformal Dynamical Systems ⋮ Simulation of Non-Lipschitz Stochastic Differential Equations Driven by $\alpha$-Stable Noise: A Method Based on Deterministic Homogenization ⋮ Weak convergence to stable Lévy processes for nonuniformly hyperbolic dynamical systems

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• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points

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