Probability and Stochastic Analysis - University of Bonn

Abstract of "Domino tilings and the six-vertex model at its free fermion point"

with Herbert Spohn.

At the free-fermion point, the six-vertex model with domain wall boundary conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the mapping on the level of complete statistics for general domains and boundary conditions. This is obtained by associating to both models a set of non-intersecting lines in the Lindström-Gessel-Viennot (LGV) scheme. One of the consequence for DWBC is that the boundaries of the ordered phases are described by the Airy process in the thermodynamic limit.

Postscript file: [PS]

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arXiv: cond-mat/0605406