[PDF.95ac] A Random Tiling Model for Two Dimensional Electrostatics (Memoirs of the American Mathematical Society)

A Random Tiling Model for Two Dimensional Electrostatics (Memoirs of the American Mathematical Society)

[PDF.fd28] A Random Tiling Model for Two Dimensional Electrostatics (Memoirs of the American Mathematical Society)

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 | #13445266 in Books |  Amer Mathematical Society |  2005-11 | Original language:English |  9.75 x7.00 x.50l,.65 | File type: PDF | 144 pages

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The two parts of this Memoir contain two separate but closely related papers. In the paper in Part A we study the correlation of holes in random lozenge (i.e., unit rhombus) tilings of the triangular lattice. More precisely, we analyze the joint correlation of these triangular holes when their complement is tiled uniformly at random by lozenges. We determine the asymptotics of the joint correlation (for large separations between the holes) in the case when one of the hol...

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