Dynamics of Foliations, Groups and Pseudogroups

English

Series: Monografie Matematyczne Ser.

Volume: Vol. 64

ISBN: 3764370912

EAN: 9783764370916

Category: Mathematics / Group Theory/Mathematics / Topology/

Publisher: Birkhauser Boston

Release Date: 06/30/2004

Synopsis: 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.

Excerpt: Unknown Property Excerpt

Dynamics of Foliations, Groups and Pseudogroups

Illustrated: Yes

Format: Hardcover

Height: 0.68 inches

Width: 6.59 inches

Length: 9.34 inches

Weight: 23.56 oz

Pages: 225