A Fredholm Determinant Representation in ASEP

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

1970

Earlier work this paper cites.

Macdonald, I.G.: Symmetric Functions and Hall Polynomials, Oxford, Clarendon Press (1995)

1995

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.

Liggett, T.M.: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Berlin, Springer-Verlag (1999)

1999

Earlier work this paper cites.

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, Progress in Probability 51

2000

Cited alongside, same era.

Liggett, T.M.: Interacting Particle Systems. [Reprint of the 1985 original.] Berlin, Springer-Verlag (2005)

2005

Cited alongside, same era.

Balázs, M., Seppäläinen, T.: Order of current variance and diffusivity in the asymmetric simple exclusion process. preprint, arXiv:0608400

Cited in the paper.

Seppäläinen, T.: Directed random growth models on the plane, preprint, arXiv: 0708.2721

Cited in the paper.

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.

Quastel, J., Valkó, B.: t 1 / 3 t^{1/3} superdiffusivity of finite-range asymmetric exclusion processes on Z, Commun. Math. Phys. 273

2007

Later among the works it cites.

Tracy, C. A., Widom, H.: Integral formulas for the asymmetric simple exclusion process, Commun. Math. Phys. 279

2008

Closest in time.