Random dynamical systems : theory and applications / Rabi Bhattacharya, Mukul Majumdar.

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 processe...

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Bibliographic Details
Main Author: Bhattacharya, R. N. (Rabindra Nath), 1937-
Other Authors: Majumdar, Mukul, 1944-
Format: eBook
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2007.
Subjects:
Online Access:Click for online access

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100 1 |a Bhattacharya, R. N.  |q (Rabindra Nath),  |d 1937-  |1 https://id.oclc.org/worldcat/entity/E39PBJhxmf7qbG6Vf3y8JmBVmd 
245 1 0 |a Random dynamical systems :  |b theory and applications /  |c Rabi Bhattacharya, Mukul Majumdar. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 2007. 
300 |a 1 online resource (xv, 463 pages) :  |b illustrations 
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504 |a Includes bibliographical references (pages 435-451) and indexes. 
588 0 |a Print version record. 
520 |a 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. 
505 0 |a Cover; Half-title; Dedication; Title; Copyright; Contents; Preface; Acknowledgment; Notation; 1 Dynamical Systems; 2 Markov Processes; 3 Random Dynamical Systems; 4 Random Dynamical Systems: Special Structures; 5 Invariant Distributions: Estimation and Computation; 6 Discounted Dynamic Programming Under Uncertainty; Appendix; Bibliography; Author Index; Subject Index 
546 |a English. 
650 0 |a Random dynamical systems. 
650 7 |a MATHEMATICS  |x Differential Equations  |x General.  |2 bisacsh 
650 7 |a Random dynamical systems  |2 fast 
650 7 |a Stochastische Differentialgleichung  |2 gnd 
650 7 |a Dynamisches System  |2 gnd 
700 1 |a Majumdar, Mukul,  |d 1944-  |1 https://id.oclc.org/worldcat/entity/E39PBJfcPPqCMy6VV6PMxbCqQq 
758 |i has work:  |a Random dynamical systems (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGvCPBcXTwG4pp8hJPdHfq  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Bhattacharya, R.N. (Rabindra Nath), 1937-  |t Random dynamical systems.  |d Cambridge ; New York : Cambridge University Press, 2007  |z 0521825652  |z 9780521825658  |w (DLC) 2006024380  |w (OCoLC)70823127 
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