Year: 2026
Type: article
Abstract: Suppose we have two finitely supported, admissible, probability measures on a hyperbolic group Γ . In this article we prove that the corresponding two Green metrics satisfy a counting central limit theorem when we order the elements of Γ according to one of the metrics. Our results also apply to various other metrics including length functions associated to Anosov representations and to group actions on hyperbolic metric spaces.
Source: Annales Henri Lebesgue
DOI: 10.5802/ahl.258
Authors: Stephen Cantrell, Mark Pollicott
Institutions: University of St Andrews, University of Warwick
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7138012017