Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case)

Details Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case) Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case)

2000-07-22

arxiv.org/abs/math/0007136v1

Mathematics

Combinatorics

41 pages, 28 figures

Scientific paper

We compute the probability of any local pattern at an arbitrary position in a
random dimer configuration in a square grid with an Aztec-diamond boundary.

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