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arXiv · 0902.2315

On the growth of nonuniform lattices in pinched negatively curved manifolds

Françoise Dal'Bo·Marc Peigné·Jean-Claude Picaud·Andrea Sambusetti
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Abstract

We study the relation between the exponential growth rate of volume in a pinched negatively curved manifold and the critical exponent of its lattices. These objects have a long and interesting story and are closely related to the geometry and the dynamical properties of the geodesic flow of the manifold .

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Françoise Dal'Bo, Marc Peigné, Jean-Claude Picaud, Andrea Sambusetti. 2009-02-13. On the growth of nonuniform lattices in pinched negatively curved manifolds. https://doi.org/10.1515/crelle.2009.010

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