Statistical Properties of Deterministic Systems

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Ding, Jiu (Συγγραφέας), Zhou, Aihui (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Σειρά:Tsinghua University Texts,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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490 1 |a Tsinghua University Texts,  |x 1993-0305 
505 0 |a Foundations of Measure Theory -- Rudiments of Ergodic Theory -- Frobenius-Perron Operators -- Invariant Measures—Existence -- Invariant Measures—Computation -- Convergence Rate Analysis -- Entropy -- Applications of Invariant Measures. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Operator theory. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Computer mathematics. 
650 0 |a Numerical analysis. 
650 1 4 |a Mathematics. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Numerical Analysis. 
650 2 4 |a Operator Theory. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
700 1 |a Zhou, Aihui.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783540853664 
830 0 |a Tsinghua University Texts,  |x 1993-0305 
856 4 0 |u http://dx.doi.org/10.1007/978-3-540-85367-1  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)