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math.GR2025
Quasi-redirecting boundaries of non-positively curved groups
Hoang Thanh Nguyen, Yulan Qing
The quasi-redirecting (QR) boundary is a close generalization of the Gromov boundary to all finitely generated groups. In this paper, we establish that the QR boundary exists as a…
math.GR2024
The quasi-redirecting Boundary
Yulan Qing, Kasra Rafi
We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi-geodesic rays and the s…
math.GR2024
Genericity of sublinearly Morse directions in general metric spaces
Yulan Qing, Wenyuan Yang
In this paper, we show that for a proper statistically convex-cocompact action on a proper geodesic metric space, the sublinearly Morse boundary has full Patterson-Sullivan measure…