Random logistic maps and Lyapunov exponents

DOI10.1016/S0019-3577(01)80042-2zbMath1022.37036MaRDI QIDQ1866446

David Steinsaltz

Publication date: 27 October 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentsinvariant measureMarkov chainrandom attractorrandom logistic map

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Dynamical aspects of measure-preserving transformations (37A05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Dynamical systems involving maps of the interval (37E05)

Related Items (11)

A survey of average contractive iterated function systems ⋮ Iterated function systems of logistic maps: synchronization and intermittency ⋮ Contracting on average iterated function systems by metric change ⋮ On the stationary tail index of iterated random Lipschitz functions ⋮ Quantitative bounds for Markov chain convergence: Wasserstein and total variation distances ⋮ Tail estimates for stochastic fixed point equations via nonlinear renewal theory ⋮ Synchronization in minimal iterated function systems on compact manifolds ⋮ Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles ⋮ Asymptotic measures of random logistic maps ⋮ Entropy of random chaotic interval map with noise which causes coarse-graining ⋮ Convergence of moments in a Markov-chain central limit theorem

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