Stability in distribution of randomly perturbed quadratic maps as Markov processes

DOI10.1214/105051604000000918zbMath1065.60090arXivmath/0503540OpenAlexW3101196235MaRDI QIDQ1769412

Rabi N. Bhattacharya, Mukul K. Majumdar

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503540

zbMATH Keywords

Markov processquadratic mapsinvariant probability

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Generation, random and stochastic difference and differential equations (37H10)

Related Items (3)

Persistence for stochastic difference equations: a mini-review ⋮ Limit theorems for monotone Markov processes ⋮ MULTIPLICATIVE STOCHASTIC PERTURBATIONS OF ONE-DIMENSIONAL MAPS

Cites Work

• Markov chains and stochastic stability
• Generic hyperbolicity in the logistic family
• Stationary solutions of stochastic recursions describing discrete event systems
• Chaotic tatonnement
• On capital accumulation paths in a neoclassical stochastic growth model
• Random logistic maps. I
• Random perturbations of transformations of an interval
• A contractivity condition for iterated function systems
• On the nonuniqueness of the invariant probability for i. i. d. random logistic maps
• On a theorem of Dubins and Freedman
• A result regarding convergence of random logistic maps
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