Chaos and chance : an introduction to stochastic aspects of dynamics
著者
書誌事項
Chaos and chance : an introduction to stochastic aspects of dynamics
(De Gruyter textbook)
Walter de Gruyter, 2001
- : hbk
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
With emphasis on stochastic aspects of deterministic systems this short book introduces the reader to the basic facts and some special topics of applied ergodic theory. It adresses advanced undergraduate and graduate students from various disciplines, i.e. mathematicians, physicists, electrical and mechanical engineers. Based upon a sound (but non-technical) mathematical introduction, a number of typical examples from applications (mostly from mechanics) are thoroughly discussed. By studying both probabilistic and deterministic features of dynamical systems the reader will develop what might be considered a unified view on chaos and chance as two sides of the same thing.
目次
Introduction Basic aspects of discrete dynamical systems Ergodic theory I - Foundations Ergodic theory II - Applications The dynamical evolution of measures
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