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Titlebook: Dynamics of Foliations, Groups and Pseudogroups; Pawe? Walczak Book 2004 Springer Basel AG 2004 Bl?tterungen.Gruppen.Pseudogruppen.dynamis

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書目名稱Dynamics of Foliations, Groups and Pseudogroups
編輯Pawe? Walczak
視頻videohttp://file.papertrans.cn/285/284082/284082.mp4
概述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..Her
叢書名稱Monografie Matematyczne
圖書封面Titlebook: Dynamics of Foliations, Groups and Pseudogroups;  Pawe? Walczak Book 2004 Springer Basel AG 2004 Bl?tterungen.Gruppen.Pseudogruppen.dynamis
描述.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..
出版日期Book 2004
關(guān)鍵詞Bl?tterungen; Gruppen; Pseudogruppen; dynamische Systeme; homology; manifold
版次1
doihttps://doi.org/10.1007/978-3-0348-7887-6
isbn_softcover978-3-0348-9611-5
isbn_ebook978-3-0348-7887-6Series ISSN 0077-0507 Series E-ISSN 2297-0274
issn_series 0077-0507
copyrightSpringer Basel AG 2004
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Book 2004dynamical 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 de
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Varia,timation) of entropies of groups, pseudogroups and foliations. Finally, Section 4 is devoted to the study of topology of generic, with respect to any harmonic measure, leaves. Following Ghys [.] we show that there are just six topological types of such leaves in dimension 2.
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