Laws of Chaos: Invariant Measures and Dynamical Systems in One Dimension (Probability and Its Applications)
| Author | : | |
| Rating | : | 4.81 (977 Votes) |
| Asin | : | 3764340037 |
| Format Type | : | paperback |
| Number of Pages | : | 416 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
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. It includes many examples and applications, and provides problem sets with solutions.
"Recommended for acim's lovers" according to Wael Bahsoun. 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.
"Well written with ample examples and exercises… It fills an important gap in the literature." Journal of the Indian Inst. 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 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. Some titles