On the nonuniqueness of the invariant probability for i. i. d. random logistic maps

DOI10.1214/aop/1020107774zbMath1013.60054OpenAlexW2093019174MaRDI QIDQ1872265

Krishna B. Athreya, Jack Jie Dai

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1020107774

zbMATH Keywords

uniquenessinvariant probabilitylogistic maps

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Random dynamical systems (37H99)

Related Items (6)

Persistence for stochastic difference equations: a mini-review ⋮ Iterated function systems of logistic maps: synchronization and intermittency ⋮ Ergodicity and loss of capacity for a random family of concave maps ⋮ On the stationary tail index of iterated random Lipschitz functions ⋮ Stability in distribution of randomly perturbed quadratic maps as Markov processes ⋮ Asymptotic behavior for Markovian iterated function systems

Cites Work

• Random logistic maps. I
• On a theorem of Dubins and Freedman
• A result regarding convergence of random logistic maps
• Invariant Probabilities for Certain Markov Processes
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