English

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

Group Theory 2014-06-16 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.0910.5560,
  title  = {A note on the algebraic growth rate of Poincar\'e series for Kleinian groups},
  author = {Marc Kesseböhmer and Bernd O. Stratmann},
  journal= {arXiv preprint arXiv:0910.5560},
  year   = {2014}
}

Comments

8 pages