Atypical generic directions in Teichmüller space

Fuente: arXiv
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Main Authors: Durham, Matthew Gentry, Wu, Chenxi, Zhu, Kejia
Format: Preprint
Published: 2025
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author Durham, Matthew Gentry
Wu, Chenxi
Zhu, Kejia
author_facet Durham, Matthew Gentry
Wu, Chenxi
Zhu, Kejia
contents Motivated by geometrically capturing generic directions in Teichmüller 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 Teichmüller geodesic rays with minimal non-uniquely ergodic vertical foliations.
format Preprint
id arxiv_https___arxiv_org_abs_2504_17986
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Atypical generic directions in Teichmüller space
Durham, Matthew Gentry
Wu, Chenxi
Zhu, Kejia
Geometric Topology
Dynamical Systems
Group Theory
20F65, 30F60, 37E30, 37E35, 20F67
Motivated by geometrically capturing generic directions in Teichmüller 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 Teichmüller geodesic rays with minimal non-uniquely ergodic vertical foliations.
title Atypical generic directions in Teichmüller space
topic Geometric Topology
Dynamical Systems
Group Theory
20F65, 30F60, 37E30, 37E35, 20F67
url https://arxiv.org/abs/2504.17986