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math.PR2021★ 1 cited
Asymptotics of pure dimer coverings on rail-yard graphs
Zhongyang Li, Mirjana Vuletić
We study asymptotic limit of random pure dimer coverings on rail yardgraphs when the mesh sizes of the graphs go to 0. Each pure dimer covering correspondsto a sequence of interlac…
math.CO2021
Limit shape of perfect matchings on rail-yard graphs
Zhongyang Li
We obtain limit shape of perfect matchings on a large class of rail-yard graphs with right boundary condition given by the empty partition, and left boundary condition given by eit…
math.PR2021
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…