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math.GR2022
Sublinear biLipschitz equivalence and sublinearly Morse boundaries
Gabriel Pallier, Yulan Qing
A sublinear biLipschitz equivalence (SBE) between metric spaces is a map from one space to another that distorts distances with bounded multiplicative constants and sublinear addit…
math.GR2022
Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space
Ilya Gekhtman, Yulan Qing, Kasra Rafi
We show that the sublinearly Morse directions in the visual boundary of a rank-1 CAT(0) space with a geometric group action are generic in several commonly studied senses of the wo…
math.GR2022★ 1 cited
Sublinearly Morse Boundary of CAT(0) admissible groups
Hoang Thanh Nguyen, Yulan Qing
We show that if G is an admissible group acting geometrically on a CAT(0) space X, then G is a hierarchically hyperbolic space and with mild assumptions the sublinearly-Morse bound…