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Statistical Properties of Deterministic Systems

Aihui Zhou, Jiu Ding

ca. 139,09
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Naturwissenschaften, Medizin, Informatik, Technik / Sonstiges


Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering.

Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

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Stationary d, Invariant measures, Ergodic theory, Ergodic theory, Frobenius-Perron operators, Piecewise linear Markov finite approximations, Dynamical system, Markov operators, Error estimates, Approximation, functional analysis, numerical analysis, Chaos