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Random Dynamical Systems
Theory and Applications
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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.
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Cambridge University Press; January 2007
481 pages; ISBN 9780511271106
Read online, or download in secure PDF format
481 pages; ISBN 9780511271106
Read online, or download in secure PDF format
Subject categories
- Academic > Mathematics > Geometry. Trigonometry.Topology > Global analysis (Mathematics)
- Academic > Mathematics > Geometry. Trigonometry.Topology > Differentiable dynamical systems
- Academic > Mathematics > Geometry. Trigonometry.Topology > Hamiltonian systems
- Academic > Mathematics > Tables
- Social Science > Research
- Business > Decision-Making & Problem Solving
- Business > Risk Management
- Business > Econometrics
ISBNs
0511271107
9780511271106
9780521825658