TY  - BOOK
AU  - Ding,Jiu
AU  - Zhou,Aihui
ED  - SpringerLink (Online service)
TI  - Statistical Properties of Deterministic Systems
T2  - Tsinghua University Texts,
SN  - 9783540853671
AV  - T57-57.97 
U1  - 519 23
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Numerical analysis
KW  - Operator theory
KW  - Computer science
KW  - Applications of Mathematics
KW  - Numerical Analysis
KW  - Operator Theory
KW  - Computational Mathematics and Numerical Analysis
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-540-85367-1
ER  -