Dynamics of Foliations, Groups and Pseudogroups

Vol. 64

Pawel Walczak - Collection Monografie Matematyczne

228 pages, parution le 30/08/2004

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Résumé

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.

Written for:
Graduates, postgraduates and researchers in group theory, dynamical systems, differential geometry and topology

Sommaire

Preface
Dynamical Systems
Growth
Entropy
Invariant Measures
Haussdorff Dimension
Varia
Bibliography
Index

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	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Pawel Walczak
Collection	Monografie Matematyczne
Parution	30/08/2004
Nb. de pages	228
Format	17 x 24
Couverture	Relié
Poids	675g
Intérieur	Noir et Blanc
EAN13	9783764370916
ISBN13	978-3-7643-7091-6