Dynamics of Foliations, Groups and Pseudogroups /
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 sp...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
2004.
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| Series: | Monografie matematyczne ;
64. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (XI, 225 pages) |
| ISBN: | 9783034878876 (electronic bk.) 3034878877 (electronic bk.) |