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We study the asymmetric six-vertex model in the quadrant with parameters on the stochastic line.
A. Erdelyi, Asymptotic Expansions, Dover Publications, 1956
1956
Earlier work this paper cites.
E. T. Copson, Asymptotic expansions, Cambridge University Press, 1965
1965
Earlier work this paper cites.
E. H. Lieb, The residual entropy of square ice, Physical Review 162, 162-172 (1967)
1967
Earlier work this paper cites.
F. Spitzer, Interaction of Markov processes, Advances in Mathematics, 5, no. 2 (1970), 246–290
1970
Earlier work this paper cites.
H. Rost, Nonequilibrium behaviour of a many particle process: density profile and local equilibria. Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete, 58, no. 1 (1981), 41–53
1981
Earlier work this paper cites.
C. Jayaprakash, A. Sinha, Commuting transfer matrix solution of the asymmetric six–vertex model, Nuclear Physics B210 [FS6] (1982) 93-102
1982
Earlier work this paper cites.
T. Liggett, Interacting Particle Systems, Springer-Verlag, New York, 1985
1985
Earlier work this paper cites.
M. Kardar, G. Parisi, and Y.-C. Zhang, Dynamic Scaling of Growing Interfaces, Physical Review Letters, 56 (1986), 889–892
1986
Earlier work this paper cites.
H. Spohn, Large scale dynamics of interacting particles, Springer, 1991
1991
Earlier work this paper cites.
N. Elkies, G. Kuperberg, M. Larsen, J. Propp, Alternating-sign matrices and domino tilings. I,II, Journals of Algebraic Combinatorics, 1 (1992), no. 2, 111–132; no. 3, 219-234. arXiv:math/9201305
1992
Earlier work this paper cites.
L.-H. Gwa, H. Spohn, Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian, Physical Review Letters, 68, no. 6 (1992), 725–728
1992
Earlier work this paper cites.
I. M. Nolden, The asymmetric six-vertex model, Journal of Statistical Physics, 67, nos. 1/2 (1992)
1992
Earlier work this paper cites.
C. Tracy, H. Widom, Level-spacing distributions and the Airy kernel, Communications in Mathematical Physics, 159, no. 1 (1994), 151–174
1994
Earlier work this paper cites.
I. G. Macdonald, Symmetric functions and Hall polynomials, Second Edition. The Clarendon Press, Oxford University Press, New York, 1995
1995
Earlier work this paper cites.
G. Albertini, S. R. Dahmen, B. Wehefritz, Phase diagram of the non-Hermitian asymmetric XXZ spin chain, Journal of Physics A: Mathematical and General, 29 (1996) L369L376
1996
Earlier work this paper cites.
G. Kuperberg, Another proof of the alternating-sign matrix conjecture, International Mathematics Research Notices, (1996), 139–150. arXiv:math.CO/9712207
1996
Earlier work this paper cites.
L. Bertini, G. Giacomin, Stochastic Burgers and KPZ equations from particle system, Communications in Mathematical Physics, 183 (1997), 571–607
1997
Earlier work this paper cites.
D. Kim, Asymmetric XXZ chain at the antiferromagnetic transition: spectra and partition functions, Journal of Physics A: Mathematical and General, 30 (1997) 3817–3836
1997
Earlier work this paper cites.
T. Seppalainen, Hydrodynamic scaling, convex duality and asymptotic shapes of growth models. Markov Processes and Related Fields, 4 (1998), 1–26
1998
Earlier work this paper cites.
D. M. Bressoud, Proofs and confirmations: the story of the alternating sign matrix conjecture, Cambridge Univ. Press, Cambridge, 1999
1999
Earlier work this paper cites.
T. Liggett, Stochastic interacting systems: contact, voter and exclusion Processes. Grundlehren der mathematischen Wissenschaften, volume 324, Springer, 1999
1999
Cited alongside, same era.
G. Andrews, R. Askey, R. Roy. Special functions. Cambridge University Press, 2000
2000
Cited alongside, same era.
H.-O. Georgii, Y. Higuchi, Percolation and number of phases in the two-dimensional Ising model, Journal of Mathematical Physics 41, no. 3(2000), 1153–1169
2000
Cited alongside, same era.
K. Johansson, Shape fluctuations and random matrices, Communications in Mathematical Physics, 209 (2000), 437–476. arXiv:math/9903134
2000
Cited alongside, same era.
M. Prahofer, H. Spohn, Universal distributions for growth processes in 1 + 1 dimensions and random matrices, Physical Review Letters, 84, no. 21 (2000), 4882–4885, arXiv:cond-mat/9912264
2000
2009
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2010
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2010
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2010
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H. Cohn, R. Kenyon, J. Propp, A variational principle for domino tilings. Journal of American Mathematical Society, 14 (2001), no. 2, 297-346. arXiv:math/0008220
2001
Cited alongside, same era.
M. Prahofer, H. Spohn, Scale invariance of the PNG droplet and the Airy process, Journal of Statistical Physics, 108 (2002), 1071–1106, arXiv:math/0105240
2002
Cited alongside, same era.
F. Rezakhanlou, Continuum limit for some growth models, Stochastic Processes and their Applications, 101 (2002), 1–41
2002
Cited alongside, same era.
K. Johansson, Discrete polynuclear growth and determinantal processes, Communications in Mathematica Physics, 242 (2003), 277–329, arXiv:math/0206208
2003
Cited alongside, same era.
K. Johansson, The arctic circle boundary and the Airy Process, The Annals of Probability, 33, no. 1 (2005), 1–30
2005
Cited alongside, same era.
S. Sheffield, Random surfaces, Asterisque 2005, no. 304, arXiv:math/0304049
2005
Cited alongside, same era.
P. Ferrari, H. Spohn, Domino tilings and the six-vertex model at its free fermion point, Journal of Physics A: Mathematical and General, 39 (2006), 10297–10306, arXiv:cond-mat/0605406
2006
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R. A. Horn, C. R. Johnson, Matrix Analysis, Second Edition, Cambridge University Press, 2013
2013
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