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Random dynamical systems : theory and applications /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2007.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xv, 463 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 435-451) and indexes. |
| ISBN: | 9780511275067 0511275064 0521532728 9780521532723 0521825652 9780521825658 051127436X 9780511274367 051161862X 9780511618628 9780511273537 0511273533 9786610815883 6610815887 1107159954 9781107159952 1280815884 9781280815881 0511320795 9780511320798 |