Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension (Probability and Its Applications)
| Author | : | |
| Rating | : | 4.93 (540 Votes) |
| Asin | : | 3764340037 |
| Format Type | : | paperback |
| Number of Pages | : | 416 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
It includes many examples and applications, and provides problem sets with solutions.. This work combines several important areas of mathematics - dynamical systems, measure theory and ergodic theory - and gives a thorough treatment of one-dimensional chaotic systems
Recommended for acim's lovers This book starts with an introduction to ergodic theory. The rest of the book is on absolutely continuous invariat measures and their applications. This is one of the best books that studies conditions of existance of absolutely continuous invariat measures for piecewise expanding maps.
Finally, the book is a valuable contribution to the topic of Dynamical Systems."Zentralblatt Math. It is given a detailed study of the piecewise linear transformations under another spirit than that of {W. 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 ). Doeblin developed in the commemorative volume Doeblin and modern probability. 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 book contains 13 chapters. The style of the book is clear with good didactical perspectives for those who wish to s