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Random dynamical systems: a review
Authors:Rabi?Bhattacharya  author-information"  >  author-information__contact u-icon-before"  >  mailto:rabi@math.arizona.edu"   title="  rabi@math.arizona.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Mukul?Majumdar
Affiliation:(1) Department of Mathematics, University of Arizona, AZ 85721 Tucson, USA;(2) Department of Economics, Cornell University, NY 14853 Ithaca, USA
Abstract:Summary. This paper provides a review of some results on the stability of random dynamical systems and indicates a number of applications to stochastic growth models, linear and non-linear time series models, statistical estimation of invariant distributions, and random iterations of quadratic maps.Received: 16 August 2002, Revised: 9 January, 2003, JEL Classification Numbers: C1, C6, D8, D9. Correspondence to: Mukul MajumdarThanks are due to A. Goswami and B.V. Rao for their detailed comments on an earlier version.
Keywords:Random dynamical systems  Stability  Splitting  Contractions  Stochastic growth  Time series  Estimation.
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