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Geodesic and Horocyclic Trajectories

Françoise Dal’Bo (Autor)

Buch | Softcover

176 Seiten

2010
Springer London Ltd (Verlag)
978-0-85729-072-4 (ISBN)

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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.

Dynamics of Fuchsian groups.- Examples of Fuchsian Groups.- Topological dynamics of the geodesic flow.- Schottky groups.- Topological dynamics.- The Lorentzian point of view.- Trajectories and Diophantine approximations.

Reihe/Serie	Universitext
Zusatzinfo	110 Illustrations, black and white; XII, 176 p. 110 illus.
Verlagsort	England
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-85729-072-X / 085729072X
ISBN-13	978-0-85729-072-4 / 9780857290724
Zustand	Neuware