Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "perfect matching"

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  • The 1-2 model 

    Grimmett, Geoffrey Richard; Li, Zhongyang (American Mathematical SocietyIn the Tradition of Ahlfors–Bers, VII, 2017)
    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 constrained to have degree either 1 or 2. It was ...