19 citations · 98 across the 40 of their papers we have counts for
Showing 2015 · math.PRShow all
3 papers · 2 filters
math.PR2015★ 1 cited
Constrained percolation in two dimensions
Alexander Holroyd, Zhongyang Li
We prove absence of infinite clusters and contours in a class of critical constrained percolation models on the square lattice. The percolation configuration is assumed to satisfy…
math.PR2015★ 11 cited
The 1-2 model
Geoffrey R. Grimmett, Zhongyang Li
The current paper is a short review of rigorous results for the 1-2 model. The 1-2 model on the hexagonal lattice is a model of statistical mechanics in which each vertex is constr…
math.PR2015★ 1 cited
Critical surface of the 1-2 model
Geoffrey R. Grimmett, Zhongyang Li
The 1-2 model on the hexagonal lattice is a model of statistical mechanics in which each vertex is constrained to have degree either or . There are three types of edge, and…