Random dynamical systems: Theory and applications

Rabindra N Bhattacharya, Mukul Majumdar

Research output: Book/ReportBook

63 Citations (Scopus)

Abstract

This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2. Equilibrium and long run stability of a dynamical system in which the law of motion is subject to random perturbations is the central theme of Chapters 3-5. A unified account of relatively recent results, exploiting splitting and contractions, that have found applications in many contexts is presented in detail. Chapter 6 explains how a random dynamical system may emerge from a class of dynamic programming problems. With examples and exercises, readers are guided from basic theory to the frontier of applied mathematical research.

Original languageEnglish (US)
PublisherCambridge University Press
Number of pages463
ISBN (Print)9780511618628, 0521825652, 9780521825658
DOIs
StatePublished - Jan 1 2007

Fingerprint

Random Dynamical Systems
Systems Theory
Dynamical system
Random Perturbation
Infinite Horizon
Dynamic Process
Long-run
Markov Process
Exercise
Dynamic Programming
Contraction
Markov chain
Discrete-time
Economics
Motion

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Random dynamical systems : Theory and applications. / Bhattacharya, Rabindra N; Majumdar, Mukul.

Cambridge University Press, 2007. 463 p.

Research output: Book/ReportBook

Bhattacharya, Rabindra N ; Majumdar, Mukul. / Random dynamical systems : Theory and applications. Cambridge University Press, 2007. 463 p.
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