From the 1 of 4 linked papers with an AI index.
4 papers
Genericity of hyperbolic 3-manifolds via Dehn surgery
Renxing Wan, Yanqing Zou
The paper introduces a probabilistic counting model for links and Dehn surgeries in the 3‑sphere and shows that, under this model, a randomly chosen link and the 3‑manifold obtaine…
Tits Alternative in groups with proper product actions on proper Gromov-hyperbolic spaces
Jiaqi Cui, Renxing Wan
In this paper, we study groups with property (PPH), i.e., there exist finitely many proper Gromov-hyperbolic spaces on which acts cocompactly such that the di…
A general construction of simultaneously hyperbolic elements
Jiaqi Cui, Renxing Wan
In this paper, we give an explicit construction of simultaneously hyperbolic elements in a group acting on finitely many Gromov-hyperbolic spaces under the weakest conditions. This…
Marked length spectrum rigidity in groups with contracting elements
Renxing Wan, Xiaoyu Xu, Wenyuan Yang
This paper presents a study of the well-known marked length spectrum rigidity problem in the coarse-geometric setting. For any two (possibly non-proper) group actions $G\curvearrow…