Stochastic higher spin six vertex model and Madconald measures

L.-H. Gwa and H. Spohn, Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian. Phys. Rev. Lett. 68 (1992), no. 6, 725–728

1992

Earlier work this paper cites.

C. Tracy, H. Widom, Level-spacing distributions and the Airy kernel, Communications in Mathematical Physics 159 (1994), no. 1, 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.

S. Kerov, A. Okounkov, G. Olshanski, The boundary of Young graph with Jack edge multiplicities, International Mathematics Research Notices, no. 4 (1998), 173–199. arXiv:q-alg/9703037

1998

Earlier work this paper cites.

A. Borodin, A. Okounkov and G. Olshanski, Asymptotics of Plancherel measures for symmetric groups, Journal of American Mathematical Society, 13 (2000) 491–515. arXiv:math/9905032

2000

Earlier work this paper cites.

A. Borodin and G. Olshanski, Distributions on partitions, point processes and the hypergeometric kernel, Communications in Mathematical Physics 211 (2000), 335–358. arXiv:math/9904010

2000

Earlier work this paper cites.

K. Johansson, Shape Fluctuations and Random Matrices, Communications in Mathematical Physics 209 (2000), 437–476. arXiv:math/9903134

2000

Earlier work this paper cites.

K. Johansson, Discrete orthogonal polynomial ensembles and the Plancherel measure, Ann. Math. (2) 153 (2001), no. 2, 259–296. arXiv:math/9906120

2001

Earlier work this paper cites.

A. Okounkov. Infinite wedge and random partitions. Selecta Mathematica 7 (2001), 57–81. arXiv:math/9907127

2001

Earlier work this paper cites.

A. Okounkov, Symmetric functions and random partitions, Symmetric functions 2001: Surveys of Developments and Perspectives (S. Fomin, ed.), Kluwer Academic Publishers, 2002. arXiv:math/0309074

2002

Cited alongside, same era.

S. Kerov: Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis, Amer. Math. Soc., Providence, RI, 2003

2003

Cited alongside, same era.

A. Okounkov, N. Reshetikhin, Correlation functions of Schur process with application to local geometry of a random 3-dimensional Young diagram. Journal of American Mathematical Society 16 (2003), 581–603. arXiv:math.CO/0107056

2003

Cited alongside, same era.

K. Johansson, The arctic circle boundary and the Airy process. Ann. Probab. 33 (2005), no. 1, 1–30. arXiv:math/0306216

2005

Cited alongside, same era.

A. Borodin and G. Olshanski, Meixner polynomials and random partitions. Mosc. Math. J. 6 (2006), no. 4, 629–655. arXiv:math/0609806

G. Amir, I. Corwin, J. Quastel, Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions. Communications on Pure and Applied Mathematics, 64 (2011), 466–537. arXiv:1003.0443

Original

2011

Later among the works it cites.

A. Borodin, Determinantal point processes, in Oxford Handbook of Random Matrix Theory, Oxford University Press, 2011. arXiv:0911.1153

Original

2011

Later among the works it cites.

N. O’Connell, Directed polymers and the quantum Toda lattice, Ann. Probab. 40 (2012), no. 2, 437–458

2012

Later among the works it cites.

A. Borodin, I. Corwin, Macdonald Processes, Probability Theory and Related Fields 158 (2014), no. 1-2, 225–400. arXiv:1111.4408

Original

2014

Later among the works it cites.

A. Borodin, P. Ferrari, Anisotropic growth of random surfaces in 2 + 1 dimensions. Communications in Mathematical Physics, 325 (2014), no. 2, 603–684. arXiv:0804.3035