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

Abstract

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.

8 pages

References in corpus (2)

• On the Lebesgue measure of sum-level sets for continued fractions
• A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence

Cited by in corpus (1)

• A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence