19 citations · 98 across the 40 of their papers we have counts for
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math.PR2012
Uniqueness of Infinite Homogeneous Clusters in 1-2 Model
Zhongyang Li
A 1-2 model configuration is a subset of edges of the hexagonal lattice such that each vertex is incident to one or two edges. We prove that for any translation-invariant Gibbs mea…
math.CO2012★ 2 cited
Bounds on connective constants of regular graphs
Geoffrey R. Grimmett, Zhongyang Li
Bounds are proved for the connective constant μ of an infinite, connected, Δ-regular graph G. The main result is that μ \ge \sqrt{Δ-1} if G is vertex-transitive and simple. This in…
math.CO2012★ 1 cited
Self-avoiding walks and the Fisher transformation
Geoffrey R. Grimmett, Zhongyang Li
The Fisher transformation acts on cubic graphs by replacing each vertex by a triangle. We explore the action of the Fisher transformation on the set of self-avoiding walks of a cub…