Zuxiang Kong

collaborators

2 papers

math.NT2026

Projection and fibering in groups of bounded exponent

Yifan Jing, Zuxiang Kong, Souktik Roy

We develop a projection and fibering method for sets of small combinatorial doubling in (not necessarily abelian) discrete groups. As an application, in the abelian case we prove t…

math.GR2024

Measure doubling in unimodular locally compact groups and quotients

Zuxiang Kong, Fei Peng, Chieu-Minh Tran

We consider a (possibly discrete) unimodular locally compact group $G$ with Haar measure $μ_{G}$ , and a compact $A \subseteq G$ of positive measure with $μ_{G} (A^{2}) \leq K μ_{G} (A)$ . Let $H…