Morse actions of discrete groups on symmetric spaces: Local-to-global principle
arXiv:2301.04562 · doi:10.2140/gt.2025.29.2343
Abstract
Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions and construct Morse ``Schottky subgroups'' of higher rank semisimple Lie groups via arguments not based on Tits' ping-pong. Our argument is purely geometric and proceeds by constructing equivariant Morse quasiisometric embeddings of trees into higher rank symmetric spaces.
The preprint is mostly based on the material of Section 7 of our earlier paper "Morse actions of discrete groups on symmetric spaces" [arXiv:1403.7671]