The Arctic Circle Boundary and the Airy Process

  title={The Arctic Circle Boundary and the Airy Process},
  author={Kurt Johansson},
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. 
Highly Cited
This paper has 73 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 25 references

Random domino tilings and the arctic circle theorem. Preprint. Available at

W. Jockush, J. Propp, P. Shor
View 5 Excerpts
Highly Influenced

Dimer statistics and phase transitions

P. W. Kasteleyn
J. Math. Phys. 4 287–293 • 1963
View 3 Excerpts
Highly Influenced

Discrete polynuclear growth, the Aztec diamond and the Gaussian unitary ensemble. Master’s thesis-MAT-2004-03

E. Nordenstam
View 1 Excerpt

Similar Papers

Loading similar papers…