On the almost sure spiraling of geodesics in CAT(0) spaces
Dynamical Systems
2026-02-11 v2 Geometric Topology
Abstract
We prove a logarithm law-type result for the spiraling of geodesics around certain types of compact subsets (e.g. quotients of periodic Morse flats) in quotients of rank one CAT(0) spaces.
Keywords
Cite
@article{arxiv.2509.10944,
title = {On the almost sure spiraling of geodesics in CAT(0) spaces},
author = {Harrison Bray and Andrew Zimmer},
journal= {arXiv preprint arXiv:2509.10944},
year = {2026}
}
Comments
32 pages, 2 figures