Dynamics of Foliations, Groups and Pseudogroups (Paperback)

Pawel Walczak

ISBN 10: 3034896115 / ISBN 13: 9783034896115

Editore: Springer Basel, Basel, 2012

Riguardo questo articolo

Paperback. 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. Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy. Roughly speaking, we concentrate on notions and results related to different ways of measuring complexity of the systems under consideration. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9783034896115

Dati bibliografici

• Titolo: Dynamics of Foliations, Groups and Pseudogroups (Paperback)
• Editore: Springer Basel, Basel
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3034896115
• ISBN 13: 9783034896115
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

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. 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. Throughout the book, the reader will find a good number of inspirating problems related to the topics covered.

Recensione

"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