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math.GT2026
Stars at infinity in the Thurston boundary
Meenakshy Jyothis, Jing Tao
We study the stars at infinity in the Thurston boundary of Teichmüller space for the Thurston and Teichmüller metrics. For the Thurston metric, we prove that for every finite-type…
math.GR2026
Hyperbolic models and stability recognition for Coxeter groups
Christopher H. Cashen, Michelle Chu, Jing Tao
Given a finite rank Coxeter system, we construct a hyperbolic space by coning off the wide parabolic subcomplexes of its Davis complex. The resulting space is ``stability recognizi…