3 papers
math.GR2024
Sigma-compactness of Morse boundaries in Morse local-to-global groups and applications to stationary measures
Vivian He, Davide Spriano, Stefanie Zbinden
We show that the Morse boundary of a Morse local-to-global group is -compact. Moreover, we show that the converse holds for small cancellation groups. As an application, we show…
math.GT2023
Random walks on groups and superlinear divergent geodesics
Kunal Chawla, Inhyeok Choi, Vivian He +1
In this paper, we study random walks on groups that contain superlinear divergent geodesics, in the line of thoughts of Goldsborough-Sisto. The existence of a superlinear divergent…
math.GT2022
Equivalent Topologies on the Contracting Boundary
Vivian He
The contracting boundary of a proper geodesic metric space generalizes the Gromov boundary of a hyperbolic space. It consists of contracting geodesics up to bounded Hausdorff dista…