Integral Formulas for the Asymmetric Simple Exclusion Process

Lieb, E.H., Liniger, W.: Exact analysis of an interacting Bose gas. I. The general solution and the ground state. Phys. Rev. 130

1963

Earlier work this paper cites.

Pólya, G., Szegö, G.: Aufgaben und Lehrsätze aus der Analysis

1964

Earlier work this paper cites.

Yang, C.N., Yang, C.P.: One-dimensional chain of anisotropic spin-spin interactions. I. Proof of Bethe’s hypothesis for the ground state in a finite system. Phys. Rev. 150

1966

Earlier work this paper cites.

Spitzer, F.: Interaction of Markov processes. Adv. Math. 5

1970

Earlier work this paper cites.

Gwa, L.-H., Spohn, H.: Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation. Phys. Rev. A 46

1992

Earlier work this paper cites.

Alcaraz, F.C, Droz, M., Henkel, M., and Rittenberg, V.: Reaction-diffusion processes, critical dynamics, and quantum chains. Ann. Physics 230

1994

Earlier work this paper cites.

Schütz, G.M.: Exact solution of the master equation for the asymmetric exclusion process. J. Stat. Physics 88

1997

Earlier work this paper cites.

Baik, J., Deift, P.A., Johansson, K.: On the distribution of the length of the longest increasing subsequence in a random permutation. J. Am. Math. Soc. 12

1999

Earlier work this paper cites.

Liggett, T.M.: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

1999

Cited alongside, same era.

Johansson, K.: Shape fluctuations and random matrices. Commun. Math. Phys. 209

2000

Cited alongside, same era.

Prähofer, M., Spohn, H.: Current fluctuations for the totally asymmetric simple exclusion process. In and Out of Equilibrium

2000

Cited alongside, same era.

Soshnikov, A.: Determinantal random fields. Russian Math. Surveys 55

2000

Cited alongside, same era.

Sutherland, B.: Beautiful Models: 70 Years of Exactly Solvable Quantum Many-Body Problems

2004

Cited alongside, same era.

Yau, H.-T.: ( log ⁡ t ) 2 / 3 (\log t)^{2/3} law of the two dimensional asymmetric simple exclusion process. Ann. Math. 159

Rákos, A., Schütz, G.M.: Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process. J. Stat. Physics 118

2005

Later among the works it cites.

Sasamoto, T.: Spatial correlations of the 1D KPZ surface on a flat substrate. J. Phys. A 38

2005

Later among the works it cites.

Hough, J.B., Krishnapur, M., Peres, Y., Virág, B.: Determinantal processes and independence. Probability Surveys 3

2006

Later among the works it cites.

Spohn, H.: Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals. Physica A 369

2006

Later among the works it cites.

Liggett, T.M.: Private communication April 17, 2007

2007

Closest in time.

Schilling, A.: Private communication Apr. 6, 2007