3 papers
math.DS2026
A geometric correspondence for reparameterizations of geodesic flows
Stephen Cantrell, DÃdac MartÃnez-Granado, Eduardo Reyes
For any non-elementary, torsion-free hyperbolic group, we provide a correspondence between the left-invariant Gromov-hyperbolic metrics on the group that are quasi-isometric to a w…
math.GR2024
The joint translation spectrum and Manhattan manifolds
Stephen Cantrell, Eduardo Reyes, Cagri Sert
We define and study geometric versions of the Benoist limit cone and matrix joint spectrum, which we call the translation cone and the joint translation spectrum, respectively. The…
math.GT2024
Approximate marked length spectrum rigidity in coarse geometry
Stephen Cantrell, Eduardo Reyes
We compare the marked length spectra of isometric actions of groups with non-positively curved features. Inspired by the recent works of Butt we study approximate versions of marke…