From the 1 of 5 linked papers with an AI index.
4 papers · 1 filter
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…
Uniform exponential growth for groups with proper product actions on hyperbolic spaces
Renxing Wan, Wenyuan Yang
This paper studies the locally uniform exponential growth and product set growth for a finitely generated group acting properly on a finite product of hyperbolic spaces. Under…