3 papers
math.GR2026
Actions and Embeddings of Property A Spaces
Chris Gartland, Ignacio Vergara, Tianyi Zheng
We provide several new characterizations of Property A for bounded degree graphs. In particular, we show that has Property A if and only if there is a proper gauge suc…
math.MG2026
Quasi-isometric rigidity for random subsets in products of trees
Zhiqiang Li, Ranfeng Yu, Tianyi Zheng
In this article, we prove a rigidity result for quasi-isometric embeddings from a random subset of the product of two regular trees into itself. This…
math.DS2024
Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators
Zhiqiang Li, Tianyi Zheng
We obtain an analog of the prime number theorem for a class of branched covering maps on the -sphere called expanding Thurston maps, which are topological models of some n…