Zunwu He

collaborators

3 papers

math.AP2020

Harmonic functions of polynomial growth on infinite penny graphs

Zunwu He, Bobo Hua

For an infinite penny graph, we study the finite-dimensional property for the space of harmonic functions, or ancient solutions of the heat equation, of polynomial growth. We prove…

math.GR2020

Remarks on the actions of some groups on the product of Hadamard spaces

Zunwu He

For a product of Hadamard spaces $X = X_{1} \times X_{2}$ on which some group $G \subset I s (X_{1}) \times I s (X_{2})$ acting, G. Link arXiv:1107.3755v1 introduced the growth rate $δ_{θ}$ of slope…

math.GR2020

Large quotients of group actions with a contracting element

Zunwu He, Jinsong Liu, Wenyuan Yang

For any proper action of a non-elementary group $G$ on a proper geodesic metric space, we show that if $G$ contains a contracting element, then there exists a sequence of proper qu…