期刊
ANNALS OF PROBABILITY
卷 33, 期 1, 页码 1-30出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/009117904000000937
关键词
Airy process; determinantal process; Dimer model; random matrices; random tiling
We prove that the, appropriately rescaled, boundary of the north polar region in the Aztec diamond converges to the Airy process. The proof uses certain determinantal point processes given by the extended Krawtchouk kernel. We also prove a version of Propp's conjecture concerning the structure of the tiling at the center of the Aztec diamond.
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