From Alternating Sign Matrices to the Gaussian Unitary Ensemble

I. M. Gelfand, M. A. Naimark, Unitary representations of the classical groups, Trudy Mat. Inst. Steklov, Leningrad, Moscow (1950) (in Russian). (German transl.: Academie-Verlag, Berlin, 1957.)

1957

Earlier work this paper cites.

V. Korepin, Calculation of norms of Bethe wave functions, Comm. Math. Phys. 86 (1982) 391–418

1982

Earlier work this paper cites.

W. H. Mills, D. P. Robbins, and H. Rumsey, Alternating sign matrices and descending plane partitions, Journal of Combinatorial Theory, Series A, 34, no. 3 (1983): 340–359

1983

Earlier work this paper cites.

A. Izergin, Partition function of the six-vertex model in a finite volume, Sov. Phys. Dokl. 32 (1987) 878–879

1987

Earlier work this paper cites.

N. Elkies, G. Kuperberg, M. Larsen, J. Propp, Alternating-sign matrices and domino tilings. I,II, J. Algebraic Combin. 1 (1992), no. 2, 111–132; no. 3, 219-234. arXiv:math/9201305

1992

Earlier work this paper cites.

H. Cohn, M. Larsen, J. Propp, The Shape of a Typical Boxed Plane Partition, New York J. Math., 4 (1998), 137–165. arXiv:math/9801059

1998

Earlier work this paper cites.

D. Bressoud, J. Propp, How the Alternating Sign Matrix Conjecture Was Solved, Notices of the American Mathematical Society, 46 (1999), 637–646

1999

Earlier work this paper cites.

Y. Baryshnikov, GUEs and queues, Probability Theory and Related Fields, 119, no. 2 (2001), 256–274

2001

Earlier work this paper cites.

K. Johansson, Non-intersecting Paths, Random Tilings and Random Matrices. Probab. Theory and Related Fields, 123 (2002), no. 2, 225–280, arXiv:math/0011250

2002

Earlier work this paper cites.

Yu. A. Neretin, Rayleigh triangles and non-matrix interpolation of matrix beta integrals, Sbornik: Mathematics (2003), 194(4), 515–540

2003

Cited alongside, same era.

O. F. Syljuasen, M. B. Zvonarev, Directed-loop Monte Carlo simulations of vertex models. Phys. Rev. E 70, 016118 (2004), arXiv:cond-mat/0401491

2004

Cited alongside, same era.

D. Allison, N. Reshetikhin, Numerical study of the 6–vertex model with domain wall boundary conditions, Annales de l’institut Fourier, 55, no. 6 (2005), 1847–1869, arXiv:cond-mat/0502314

2005

Cited alongside, same era.

P. Ferrari, H. Spohn, Domino tilings and the six-vertex model at its free fermion point, J. Phys. A: Math. Gen. 39 (2006), 10297–10306, arXiv:cond-mat/0605406

2006

Cited alongside, same era.

K. Johansson and E. Nordenstam. Eigenvalues of GUE minors. Electron. J. Probab., 11, no. 50, 1342–1371 (electronic), 2006, arXiv:math/0606760

R. Kenyon, Lectures on dimers, IAS/Park City Mathematical Series, vol. 16: Statistical Mechanics, AMS, 2009. arXiv:0910.3129

Original

2009

Later among the works it cites.

E. Nordenstam. Interlaced particles in tilings and random matrices. Doctoral thesis, KTH, 2009

2009

Later among the works it cites.

P. Zinn-Justin, Six-vertex, loop and tiling models: integrability and combinatorics, Lambert Academic Publishing, 2009, Habilitation thesis, arXiv:0901.0665

Original

2009

Later among the works it cites.

A. Borodin, V. Gorin, E. Rains, q q -Distributions on boxed plane partitions. Selecta Mathematica, New Series, 16 (2010), no. 4, 731–789, arXiv:0905.0679

Original

2010

Later among the works it cites.

F. Colomo, A. G. Pronko, The limit shape of large alternating sign matrices, SIAM J. Discrete Math. 24 (2010), 1558-1571, arXiv:0803.2697