Dynamical Systems, Ergodic Theory and Applications
460 pages, parution le 01/05/2000
(2eme édition)
Résumé
This EMS volume, the first edition of which was published
as Dynamical Systems II, EMS 2, sets out to familiarize the
reader to the fundamental ideas and results of modern
ergodic theory and its applications to dynamical systems
and statistical mechanics. The exposition starts from the
basic of the subject, introducing ergodicity, mixing and
entropy. The ergodic theory of smooth dynamical systems is
treated. Numerous examples are presented carefully along
with the ideas underlying the most important results.
Moreover, the book deals with the dynamical systems of
statistical mechanics, and with various kinetic equations.
For this second enlarged and revised edition, published as Mathematical Physics I, EMS 100, two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations were added. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.
Contents
- General Ergotic Theory of Groups of Measure Preserving Transformations
- Ergotic Theory of Smooth Dynamical Systems
- Dynamical Systems on Homogeneous Spaces
- The Dynamics of Billiard Flows in Rational Polygons
- Dynamical Systems of Statistical Mechanics and Kinetic Equations
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Parution | 01/05/2000 |
| Édition | 2eme édition |
| Nb. de pages | 460 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 714g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540663164 |
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