Dynamics of Foliations, Groups and Pseudogroups [electronic resource] | Walczak, Paweł
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Author: Walczak, Paweł
Added by: sketch
Added Date: 2015-12-29
Publication Date: 2004
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
PDF Size: 20.36 MB
Extensions: djvu, gif, pdf, gz, zip, torrent, log, mrc
Downloads: 453
Views: 503
Total Files: 18
Media Type: texts
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:
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
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
