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Dynamics of Foliations, Groups and Pseudogroups by Pawel Walczak
Deals with the dynamics of general systems such as foliations, groups and pseudogroups, systems which are closely related via the notion of holonomy. Focusing on the notions and results related to different ways of measuring complexity of the systems under consideration, this book discusses growth, entropies, and dimensions of limiting objects.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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| Author(s) : Pawel Walczak | Format : Hardback Book |
| ISBN-10 : 3764370912 | ISBN-13 : 9783764370916 |
| RRP : £63.00 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Product Details:
Series Title : Monografie Matematyczne S.
Country Publication : Switzerland
Publication Date : 01/04/2004
Publisher : Birkhauser Verlag AG
Page Length : XI, 225mm
Page Size : 238mm