A Note on the Algebraic Growth Rate of Poincaré Series for Kleinian Groups
In this note, we employ infinite ergodic theory to derive estimates for the algebraic growth rate of the Poincaré series for a Kleinian group at its critical exponent of convergence.
Dedicated to S.J. Patterson on the occasion of his 60th birthday.
We would like to thank the Mathematische Institut der Universität Göttingen for the warm hospitality during our research visit in Summer 2009. In particular, we would like to thank P. Mihailescu and S.J. Patterson for the excellent organization of the International Conference: Patterson 60 ++, which took place during the period of our visit.
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