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arxiv: 0910.5560 · v1 · pith:NKKXTE5Znew · submitted 2009-10-29 · 🧮 math.GR · math.DS

A note on the algebraic growth rate of Poincar\'e series for Kleinian groups

classification 🧮 math.GR math.DS
keywords algebraicgrowthkleiniannotepoincarrateseriesconvergence
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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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