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Dynamics of Foliations, Groups and Pseudogroups [electronic resource] by Walczak, Paweł

Book Information

TitleDynamics of Foliations, Groups and Pseudogroups [electronic resource]
CreatorWalczak, Paweł
Year2004
PPI600
PublisherBasel : Birkhäuser Basel : Imprint : Birkhäuser
LanguageEnglish
Mediatypetexts
SubjectMathematics, Group theory, Topological groups, Differentiable dynamical systems, Global differential geometry, Differentiable dynamical systems, Global differential geometry, Group theory, Mathematics, Topological groups
ISBN9783034878876, 3034878877, 9783034896115, 3034896115
Collectionfolkscanomy_miscellaneous, folkscanomy, additional_collections
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Identifierspringer_10.1007-978-3-0348-7887-6
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Dynamics of Foliations, Groups and PseudogroupsAuthor: Paweł Walcza Published by Birkhäuser Basel ISBN: 978-3-0348-9611-5 DOI: 10.1007/978-3-0348-7887-6Table of Contents:Dynamical systems Growth Entropy Invariant measures Hausdorff dimension Varia, Preface -- Dynamical Systems -- Growth -- Entropy -- Invariant Measures -- Haussdorff Dimension -- Varia -- Bibliography -- Index, 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