A note on the algebraic growth rate of Poincaré series for Kleinian groups

Details A note on the algebraic growth rate of Poincaré series for Kleinian groups A note on the algebraic growth rate of Poincaré series for Kleinian groups

2009-10-29

arxiv.org/abs/0910.5560v1

Mathematics

Group Theory

8 pages

Scientific paper

In this note we employ infinite ergodic theory to derive estimates for the
algebraic growth rate of the Poincar\'e series for a Kleinian group at its
critical exponent of convergence.

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