5 papers
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…
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…
Topological and Dynamic Properties of the Sublinearly Morse Boundary and the Quasi-Redirecting Boundary
Jacob Garcia, Yulan Qing, Elliott Vest
Sublinearly Morse boundaries of proper geodesic spaces are introduced by Qing, Rafi and Tiozzo. Expanding on this work, Qing and Rafi recently developed the quasi-redirecting bound…
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…
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…