Statistical Properties of Deterministic Systems

2009
ISBN: 978-3-540-85366-4
Verlag: Springer Netherlands

Buch, Englisch, 270 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 501 g

Reihe: Tsinghua University Texts

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.

Zielgruppe

Research

Autoren/Hrsg.

Ding, Jiu

Zhou, Aihui

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

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.