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Titlebook: Dynamical Aspects of Teichmüller Theory; SL(2,R)-Action on Mo Carlos Matheus Silva Santos Book 2018 Springer International Publishing AG, p

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发表于 2025-3-21 16:19:52 | 显示全部楼层 |阅读模式
书目名称Dynamical Aspects of Teichmüller Theory
副标题SL(2,R)-Action on Mo
编辑Carlos Matheus Silva Santos
视频video
概述The book gives easy access to recent research topics in Teichmüller dynamics; the results described were obtained after 2012.The book provides streamlined and partly new versions of the proofs of thes
丛书名称Atlantis Studies in Dynamical Systems
图书封面Titlebook: Dynamical Aspects of Teichmüller Theory; SL(2,R)-Action on Mo Carlos Matheus Silva Santos Book 2018 Springer International Publishing AG, p
描述.This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. .The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and numbertheory..
出版日期Book 2018
关键词Teichmüller dynamics; moduli spaces; dynamical systems and geometry; flat surfaces; Eskin-Kontsevich-Zor
版次1
doihttps://doi.org/10.1007/978-3-319-92159-4
isbn_softcover978-3-319-92158-7
isbn_ebook978-3-319-92159-4Series ISSN 2213-3526 Series E-ISSN 2213-3534
issn_series 2213-3526
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture,Lorenz gases is abnormal: more precisely, if . is the billiard flow in direction . in the billiard table ., ., obtained by putting rectangular obstacles of dimensions . at each ., then Hardy-Weber conjecture predicts that for Lebesgue almost every . and ..
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Gegenstand und Ziele der Untersuchung,This section serves as a general-purpose introduction to all other sections of this memoir. In particular, we’ll always assume familiarity with the content of this section in subsequent discussions.
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Maschinenteile der Winden und Krane,Let . be a connected component of a stratum of the moduli space of unit area translation surfaces of genus ..
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Maschinenteile der Winden und Krane,The circle of ideas developed for the study of Lyapunov exponents of the Kontsevich-Zorich cocycle over the .-action on moduli spaces of translation surfaces was fruitfully used in many contexts.
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Introduction,This section serves as a general-purpose introduction to all other sections of this memoir. In particular, we’ll always assume familiarity with the content of this section in subsequent discussions.
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,Some Finiteness Results for Algebraically Primitive Teichmüller Curves,Many applications of the dynamics of . on moduli spaces of translation surfaces to the investigation of translation flows and billiards rely on the features of the closure of certain .-orbits.
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