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商品詳細
Dynamics of Foliations, Groups and Pseudogroups. Softcover reprint of the original 1st ed. 2004.
・ISBN 978-3-0348-9611-5 paper EUR 99.99
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| 著者・編者 | Walczak, Pawel, |
|---|---|
| シリーズ | Monografie Matematyczne |
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2012 |
| ページ数 | 228 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16922＞ |
解説
Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy. In the 1980s they became considered as general dynamical systems. This book deals with their dynamics. Since "dynamics" is a very extensive term, we focus on some of its aspects only. Roughly speaking, we concentrate on notions and results related to different ways of measuring complexity of the systems under consideration. More precisely, we deal with different types of growth, entropies and dimensions of limiting objects. Invented in the 1980s (by E. Ghys, R. Langevin and the author) geometric entropy of a foliation is the principal object of interest among all of them.
Throughout the book, the reader will find a good number of inspirating problems related to the topics covered.