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Dynamics of Foliations, Groups and Pseudogroups [electronic resource]

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Dynamics of Foliations, Groups and Pseudogroups [electronic resource]
Original Title Dynamics of Foliations, Groups and Pseudogroups [electronic resource]
Author Walczak, Paweł
Publication date

Topics Mathematics, Group theory, Topological groups, Differentiable dynamical systems, Global differential geometry, Differentiable dynamical systems, Global differential geometry, Group theory, Mathematics, Topological groups
Publisher Basel : Birkhäuser Basel : Imprint : Birkhäuser
Collection folkscanomy_miscellaneous, folkscanomy, additional_collections
Language English
Book Type EBook
Material Type Book
File Type PDF
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Support Mobile, Desktop, Tablet
Scan Quality: Best No watermark
PDF Quality: Good
Availability Yes
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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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