0 30 30 67 v 1 2 8 M ar 2 00 3 A RANDOM TILING MODEL FOR TWO DIMENSIONAL ELECTROSTATICS

@inproceedings{Ciucu033,
  title={0 30 30 67 v 1 2 8 M ar 2 00 3 A RANDOM TILING MODEL FOR TWO DIMENSIONAL ELECTROSTATICS},
  author={Mihai Ciucu}
}
We consider triangular holes on the hexagonal lattice and we study their interaction when the rest of the lattice is covered by dimers. More precisely, we analyze the joint correlation of these triangular holes in a " sea " of dimers. We determine the asymptotics of the joint correlation (for large separations between the holes) in the case when one of the holes has side 1, all remaining holes have side 2, and the holes are distributed symmetrically with respect to a symmetry axis. Our result… CONTINUE READING
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