3 papers
math.GR2026
On the growth spectrum of hyperbolic groups
Rémi Coulon, Michail Louvaris, Daniel T. Wise +1
We study the growth spectrum of groups acting on hyperbolic spaces, i.e.\ the set of exponential growth rates achieved by subgroups. For a finitely generated free group or a surfac…
math.GR2025
PolExp growth for automorphisms of toral relatively hyperbolic groups
Rémi Coulon, Arnaud Hilion, Camille Horbez +1
Let be a toral relatively hyperbolic group, and let . We prove that, under iteration of , the conjugacy length of every element …
math.DS2025
Ergodicity of the geodesic flow for groups with a contracting element
Rémi Coulon
In this article we investigate the dynamical properties of the geodesic flow for a proper metric space endowed with a proper action by isometries of a group with a contracting elem…