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Dynamics of Foliations, Groups and Pseudogroups: 64 (Monografie Matematyczne, 64) - Softcover

 
9783034896115: Dynamics of Foliations, Groups and Pseudogroups: 64 (Monografie Matematyczne, 64)

Synopsis

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.

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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

 

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  • PublisherBirkhäuser
  • Publication date2012
  • ISBN 10 3034896115
  • ISBN 13 9783034896115
  • BindingPaperback
  • LanguageEnglish
  • Number of pages239

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 228 pp. Englisch. Seller Inventory # 9783034896115

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Existing books on foliations deal mainly with either topology or Riemannian geometry of them books on dynamics deal either with classical systems (single transformations or flows) or with groups. Here, dynamics of foliations (almost absent in the existi. Seller Inventory # 4319424

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783034896115

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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 244 pp. Englisch. Seller Inventory # 9783034896115

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