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Titlebook: Geodesic and Horocyclic Trajectories; Françoise Dal’Bo Textbook 2011 Springer-Verlag London Limited 2011 Fuchsian group.Poincaré half plan

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发表于 2025-3-21 16:26:31 | 显示全部楼层 |阅读模式
书目名称Geodesic and Horocyclic Trajectories
编辑Françoise Dal’Bo
视频video
概述Provides a useful introduction to the topological dynamics of geodesic and horocycle flows associated with surfaces of curvature -1.The text is ‘punctuated’ with exercises, avoiding overwhelming proof
丛书名称Universitext
图书封面Titlebook: Geodesic and Horocyclic Trajectories;  Françoise Dal’Bo Textbook 2011 Springer-Verlag London Limited 2011 Fuchsian group.Poincaré half plan
描述Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature −1, namely the geodesic and horocycle flows. Written primarily with the idea of highlighting, in a relatively elementary framework, the existence of gateways between some mathematical fields, and the advantages of using them, historical aspects of this field are not addressed and most of the references are reserved until the end of each chapter in the Comments section. Topics within the text cover geometry, and examples, of Fuchsian groups; topological dynamics of the geodesic flow; Schottky groups; the Lorentzian point of view and Trajectories and Diophantine approximations.
出版日期Textbook 2011
关键词Fuchsian group; Poincaré half plane; Schottky group; Topological dynamics; continued fraction; diophantin
版次1
doihttps://doi.org/10.1007/978-0-85729-073-1
isbn_softcover978-0-85729-072-4
isbn_ebook978-0-85729-073-1Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London Limited 2011
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发表于 2025-3-21 21:25:37 | 显示全部楼层
Die Kontroverse um Neuronale Netzeof the modular group. We will use this coding in Chap. IV to study the dynamics of the geodesic flow, and in Chap. VII to translate the behavior of geodesic rays on the modular surface into the terms of Diophantine approximations.
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Dynamics of Fuchsian groups,iemannian geometry, see Appendix B..Sections 3 and 4 do not include many examples. Readers who prefer to see examples of Fuchsian groups before studying their properties are invited to browse through Chap. II.
发表于 2025-3-22 11:04:21 | 显示全部楼层
Examples of Fuchsian groups,of the modular group. We will use this coding in Chap. IV to study the dynamics of the geodesic flow, and in Chap. VII to translate the behavior of geodesic rays on the modular surface into the terms of Diophantine approximations.
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The Lorentzian point of view,ly the dynamics of the horocycle and of the geodesic flows. Many proofs are reformulations of proofs given in the previous chapters. In this case, they are left to the reader. Appendix B can be useful in this chapter.
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