Dimer Problems
نویسنده
چکیده
The dimer model is a statistical mechanical model on a graph, where configurations consist of perfect matchings of the vertices. For planar graphs, expressions for the partition function and local statistics can be obtained using determinants. The planar dimer model can be used to model a number of other statistical mechanical processes such as the planar Ising model and free fermions. It is also a model for crystal surfaces in R. keywords: exactly solved model, free fermions, domino tiling, perfect matching, Pfaffian, height function, Gaussian free field, conformal invariance, spanning trees.
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