1 citations · 1 across the 4 of their papers we have counts for
5 papers
Tree embeddings and nonuniqueness in site percolation
Zhongyang Li
We prove a nonuniqueness theorem for Bernoulli site percolation on properly embedded planar graphs (graphs that can be embedded into $\RR^2$ with no accumulation points), and we ob…
Doubly Free-Boundary Rail-Yard Dimers and Annular Gaussian Fluctuations
Zhongyang Li
We study rail-yard dimer measures with free boundary conditions at both the left and the right boundary. The double free-boundary geometry produces an infinite family of reflected…
Matchings on Random Regular Hypergraphs
Zhongyang Li
We study the monomer--dimer partition function on the configuration model of random -regular, -uniform hypergraphs. For fixed , we prove quenched free-energy limits…
Exact Recovery of Community Detection in dependent Gaussian Mixture Models
Zhongyang Li, Sichen Yang
We study exact recovery for community detection in a Gaussian mixture model with dependent and heterogeneous Gaussian noise. The noise covariance matrix may be non-diagonal an…
Hyperbolic site percolation
Geoffrey R. Grimmett, Zhongyang Li
Several results are presented for site percolation on quasi-transitive, planar graphs with one end, when properly embedded in either the Euclidean or hyperbolic plane. If $(G_1…