On some exotic Schottky groups

Details On some exotic Schottky groups On some exotic Schottky groups

2010-10-28

arxiv.org/abs/1010.5869v1

Mathematics

Dynamical Systems

Scientific paper

We construct a Cartan-Hadamard manifold with pinched negative curvature whose group of isometries possesses divergent discrete free subgroups with parabolic elements who do not satisfy the so-called "parabolic gap condition" . This construction relies on the comparaison between the Poincar\'e series of these free groups and the potential of some transfer operator which appears naturally in this context.

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