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

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,Ziele Öffentlicher Unternehmen,don’s “The geometry of discrete groups” Springer, New York ., A. Katok’s and V. Climenhaga’s “Lectures on Surfaces” American Mathematical Society, Providence ., and S. Katok’s “Fuchsian groups” University of Chicago Press, Chicago .. The reader will find in these books the solutions of the exercises

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Die Kontroverse um Neuronale Netzewill consider consists of geometrically finite free groups, called . groups. Its construction is based on the dynamics of isometries..The second family comes from number theory. It consists of three non-uniform lattices: the . group PSL(2,ℤ), its congruence modulo 2 subgroup and its commutator subgr

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https://doi.org/10.1007/978-3-662-31626-9ur method is based on a correspondence between the set of horocycles of ℍ and the space of non-zero vectors in ℝ. modulo {±Id}. This vectorial point of view allows one to relate the topological dynamics of the linear action on ℝ. of a discrete subgroup . of SL(2,ℝ) to that of the horocycle flow on t

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https://doi.org/10.1007/978-3-322-88007-9 group associated with . on {±Id}ℝ.−{0}..Our motivation in this chapter, is to construct a linear representation of . taking into account simultaneously the dynamics of the horocycle and of the geodesic flows. Many proofs are reformulations of proofs given in the previous chapters. In this case, the

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Elemente betrieblicher Finanzentscheidungen,ions) which .. With these hypotheses, the surface .=.ℍ admits finitely many cusps (see Sects. I.3 and I.4) (Fig. VII.1)..As in the previous chapters, we let . denote the projection from ℍ to .. In the first step, we study the excursions of a geodesic ray .([.,.)) into the cusp corresponding to the i

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