4 citations · 7 across the 7 of their papers we have counts for
11 papers
Central limit theorems for Green metrics on hyperbolic groups
Stephen Cantrell, Mark Pollicott
Suppose we have two finitely supported, admissible, probability measures on a hyperbolic group . In this article we prove that the corresponding two Green metrics satisfy a coun…
Marked length spectrum rigidity from rigidity on subsets
Stephen Cantrell, Eduardo Reyes
We introduce a new method for studying length spectrum rigidity problems based on a combination of ideas from dynamical systems and geometric group theory. This allows us to compar…
Mixing of the Mineyev flow, orbital counting and Poincaré series for strongly hyperbolic metrics
Stephen Cantrell
We obtain orbital counting results for the class of strongly hyperbolic metrics on hyperbolic groups. To achieve this we combine ergodic theoretic techniques involving the Mineyev…
Invariant measures of the topological flow and measures at infinity on hyperbolic groups
Stephen Cantrell, Ryokichi Tanaka
We show that for every non-elementary hyperbolic group, an associated topological flow space admits a coding based on a transitive subshift of finite type. Applications include reg…
Counting and boundary limit theorems for representations of Gromov-hyperbolic groups
Stephen Cantrell, Cagri Sert
Given a Gromov-hyperbolic group endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph under…
The Manhattan curve, ergodic theory of topological flows and rigidity
Stephen Cantrell, Ryokichi Tanaka
For every non-elementary hyperbolic group, we introduce the Manhattan curve associated to any pair of left-invariant hyperbolic metrics which are quasi-isometric to a word metric.…