Atypical generic directions in Teichm\"uller space
Geometric Topology
2025-08-20 v2 Dynamical Systems
Group Theory
Abstract
Motivated by geometrically capturing generic directions in Teichm\"uller space -- that is, tracking rays for random walks of the mapping class group -- we use work of Chaika--Masur--Wolf and Durham--Zalloum to construct the first examples of a sublinearly-Morse Teichm\"uller geodesic rays with minimal non-uniquely ergodic vertical foliations.
Keywords
Cite
@article{arxiv.2504.17986,
title = {Atypical generic directions in Teichm\"uller space},
author = {Matthew Gentry Durham and Chenxi Wu and Kejia Zhu},
journal= {arXiv preprint arXiv:2504.17986},
year = {2025}
}
Comments
16 pages, 3 figures; submitted version