On the double random current nesting field

Marcin Lis
Marcin Lis

Probability Theory and Related Fields, pp. 937-955, 2019.

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Abstract:

We relate the planar random current representation introduced by Griffiths, Hurst and Sherman to the dimer model. More precisely, we provide a measure-preserving map between double random currents (obtained as the sum of two independent random currents) on a planar graph and dimers on an associated bipartite graph. We also define a nestin...More

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