3 papers
math.GR2026
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…
math.GT2025
The number of ends of big mapping class groups
Josiah Oh, Yulan Qing, Xiaolei Wu
We analyze the number of ends of the mapping class group of a stable avenue surface. We prove that the mapping class group is one-ended whenever the stable avenue surface has at le…
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…