Geodesic and Horocyclic Trajectories

• Main Author: Dal’Bo, Françoise (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Universitext
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential geometry.; Number theory.; Dynamical Systems and Ergodic Theory.; Number Theory.; Differential Geometry.

During the past thirty years, strong relationships have interwoven the fields of dynamical systems, linear algebra and number theory. This rapport between different areas of mathematics has enabled the resolution of some important conjectures and has in fact given birth to new ones. This book sheds...

Table of Contents:

• 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.