Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "percolation"
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The 12 model
(American Mathematical SocietyIn the Tradition of Ahlfors–Bers, VII, 2017)The current paper is a short review of rigorous results for the 12 model. The 12 model on the hexagonal lattice is a model of statistical mechanics in which each vertex is constrained to have degree either 1 or 2. It was ...

The work of Lucio Russo on percolation
The contributions of Lucio Russo to the mathematics of percolation and disordered systems are outlined. The context of his work is explained, and its ongoing impact on current work is described and amplified.