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Dynamics of Foliations, Groups and Pseudogroups [electronic resource]

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Dynamics of Foliations, Groups and Pseudogroups [electronic resource]

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Author: Walczak, Paweł

Added by: sketch

Added Date: 2015-12-29

Language: eng

Subjects: Mathematics, Group theory, Topological groups, Differentiable dynamical systems, Global differential geometry, Differentiable dynamical systems, Global differential geometry, Group theory, Mathematics, Topological groups

Publishers: Basel : Birkhäuser Basel : Imprint : Birkhäuser

Collections: folkscanomy miscellaneous, folkscanomy, additional collections

ISBN Number: 9783034878876, 3034878877, 9783034896115, 3034896115

Pages Count: 600

PPI Count: 600

PDF Count: 1

Total Size: 303.90 MB

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Description

Dynamics of Foliations, Groups and Pseudogroups
Author: Paweł Walcza
Published by Birkhäuser Basel
ISBN: 978-3-0348-9611-5
DOI: 10.1007/978-3-0348-7887-6

Table 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

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