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Table of contents (13 chapters)
Keywords
About this book
Reviews
"Well written with ample examples and exercises… It fills an important gap in the literature."
—Journal of the Indian Inst. of Science
"The book provides a personal view on invariant measures and dynamical systems in one dimension. It is given a detailed study of the piecewise linear transformations under another spirit than that of {W. Doeblin} developed in the commemorative volume [Doeblin and modern probability. Proceedings of the Doeblin conference "50 years after Doeblin: Developments in the theory of Markov chains, Markov processes and sums of independent random variables'', Contemporary Mathematics 149 (1993; articles are reviewed individually in Zbl )]. The book contains 13 chapters. Some titles are as follows: Spectral decomposition of the Frobenius-Perron operator, Markov transformations, Compactness theorem and Approximation of invariant densities, Stability of invariant measures, The inverse problem for the Frobenius-Perron equation and others. The style of the book is clear with good didactical perspectives for those who wish to study dynamical systems in connection with measure theory and ergodic theory. Finally, the book is a valuable contribution to the topic of Dynamical Systems."
—Zentralblatt Math
Authors and Affiliations
Bibliographic Information
Book Title: Laws of Chaos
Book Subtitle: Invariant Measures and Dynamical Systems in One Dimension
Authors: Abraham Boyarsky, Paweł Góra
Series Title: Probability and Its Applications
DOI: https://doi.org/10.1007/978-1-4612-2024-4
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1997
Hardcover ISBN: 978-0-8176-4003-3Published: 23 September 1997
Softcover ISBN: 978-1-4612-7386-8Published: 01 November 2012
eBook ISBN: 978-1-4612-2024-4Published: 06 December 2012
Series ISSN: 2297-0371
Series E-ISSN: 2297-0398
Edition Number: 1
Number of Pages: XVI, 400
Topics: Probability Theory and Stochastic Processes, Dynamical Systems and Ergodic Theory, Applications of Mathematics