Universitext Geodesic and Horocyclic Trajectories - Françoise DalBo Kartoniert (TB)

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 topo logical dynamics of the geodesic flow Schottky groups the Lorentzian point of view and Trajectories and Diophantine approximations.