The Airy_1 process is not the limit of the largest eigenvalue in GOE matrix diffusion

F.J. Dyson, A Brownian-motion model for the eigenvalues of a random matrix , J. Math. Phys. 3

1962

Earlier work this paper cites.

C.A. Tracy and H. Widom, On orthogonal and symplectic matrix ensembles , Comm. Math. Phys. 177

1996

Earlier work this paper cites.

M. Prähofer and H. Spohn, Universal distributions for growth processes in 1 + 1 1+1 dimensions and random matrices , Phys. Rev. Lett. 84

2000

Earlier work this paper cites.

M. Prähofer and H. Spohn, Scale invariance of the PNG droplet and the Airy process , J. Stat. Phys. 108

2002

Earlier work this paper cites.

K. Johansson, Discrete polynuclear growth and determinantal processes , Comm. Math. Phys. 242

2003

Earlier work this paper cites.

F. Bornemann, D. Laurie, S. Wagon, and J. Waldvogel, The SIAM 100-Digit Challenge. A Study in High-Accuracy Numerical Computing , Society of Industrial and Applied Mathematics, Philadelphia, 2004

2004

Earlier work this paper cites.

P.L. Ferrari, Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues , Comm. Math. Phys. 252

2004

Cited alongside, same era.

H. Widom, On asymptotics for the Airy process , J. Stat. Phys. 115

2004

Cited alongside, same era.

M. Adler and P. van Moerbeke, PDE’s for the joint distribution of the Dyson, Airy and Sine processes , Ann. Probab. 33

2005

Cited alongside, same era.

P.L. Ferrari and H. Spohn, A determinantal formula for the GOE Tracy-Widom distribution , J. Phys. A 38

2005

Cited alongside, same era.

K. Johansson, Non-intersecting, simple, symmetric random walks and the extended Hahn kernel , Ann. Inst. Fourier, Grenoble 55

2005

Cited alongside, same era.

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

A. Borodin, P.L. Ferrari, M. Prähofer, and T. Sasamoto, Fluctuation properties of the TASEP with periodic initial configuration , J. Stat. Phys. 129

2007

Later among the works it cites.

A. Borodin, P.L. Ferrari, and T. Sasamoto, Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP , arXiv:0707.4207; To appear in Comm. Math. Phys. (2007)

Original

2007

Later among the works it cites.

A. Borodin, P.L. Ferrari, and T. Sasamoto, Transition between Airy 1 and Airy 2 processes and TASEP fluctuations , Comm. Pure Appl. Math., online first (2007)

2007

Later among the works it cites.

P.L. Ferrari, The universal Airy 1 and Airy 2 processes in the Totally Asymmetric Simple Exclusion Process , arXiv:math-ph/0701021. To appear in Contemporary Mathematics, “Proceedings on Integrable Systems, Random Matrices, and Applications. A conference in honor of Percy Deift’s 60th birthday” (2007)

2007

Later among the works it cites.