Dynamics of Foliations, Groups and Pseudogroups

P. Walczak

ISBN 10: 3764370912 / ISBN 13: 9783764370916

Published by Springer, Basel, Birkhäuser Basel Apr 2004, 2004

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -This book deals with the dynamics of general systems such as foliations, groups and pseudogroups, systems which are closely related via the notion of holonomy. It concentrates on notions and results related to different ways of measuring complexity of systems under consideration. More precisely, it deals with different types of growth, entropies and dimensions of limiting objects. Problems related to the topics covered are provided throughout the book. 228 pp. Englisch. Seller Inventory # 9783764370916

Bibliographic Details

Title: Dynamics of Foliations, Groups and ...

Publisher: Springer, Basel, Birkhäuser Basel Apr 2004

Publication Date: 2004

Binding: Buch

Condition: Neu

About this title

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.

Review:

"The classical theory of dynamical systems has been greatly generalized to the rich context of foliations and actions of groups and pseudogroups on spaces. The book under review expounds on this theory in considerable detail....

 

Much of the material in this book is pertinent to applied mathematics.... Experts in control systems also recognize foliation theory as a cognate subject of some interest.... With the phenomenal interaction between pure and applied mathematics over recent decades, this book should be of considerable interest to many application-oriented mathematicians."

―SIAM Book Reviews