(log t)2/3 law of the two dimensional asymmetric simple exclusion process

Annals of Mathematics

Volumn 159, Issue 1, 2004, Pages 377-405

  Yau, Horng Tzer ^a,b  

^a NEW YORK UNIVERSITY   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442436926     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2004.159.377     Document Type: Article

References (15)

1. J. BAIK, P. A. DEIFT, and K. JOHANSSON, On the distribution of the length of the longest increasing subsequence in a random permutation, J. Amer. Math. Soc. 12 (1999), 1119-1178.
2. J. BAIK and E. M. RAINS, Limiting distributions for a polynuclear growth model with external sources, J. Stat. Phys. 100 (2000), 523-542.
3. H. VAN BEIJEREN, R. KUTNER, and H. SPOHN, Excess noise for driven diffusive systems, Phys. Rev. Lett. 54 (1985), 2026-2029.
4. R. ESPOSITO, R. MARRA, and H.-T. YAU , Diffusive limit of asymmetric simple exclusion, Rev. Math. Phys. 6 (1994), 1233-1267.
5. _, Navier-Stokes equations for a stochastic particle system on the lattice, Comm. Math. Phys. 182 (1996), 396-456.
6. K. JOHANSSON, Shape fluctuations and random matrices, Comm. Math. Phys. 209 (2000), 437-476.
7. C. LANDIM, S. OLLA, and H.-T. YAU, Some properties of the diffusion coefficient for asymmetric simple exclusion processes, Ann. Probab. 24 (1996), 1779-1808.
8. C. LANDIM, J. QUASTEL, M. SALMHOFER, and H.-T. YAU, Superdiffusivity of one and two dimensional asymmetric simple exclusion processes, preprint, 2002.
9. C. LANDIM and H.-T. YAU, Fluctuation-dissipation equation of asymmetric simple exclusion processes, Probab. Theory Related Fields 108 (1997), 321-356.
10. M. PRÄHOFER and H. SPOHN, Current Fluctuations for the totally asymmetric simple exclusion process, in In and Out of Equilibrium (Macbucaba, 2000), 185-204, Progr. Probab. 51, 185-204, Birkhäuser, Boston, 2002.
11. _, Universal distribution for growth processes in 1+1 dimensions and random matrices, Phys. Rev. Lett. 84 (2000), 4882-4885.
12. J. QUASTEL and H.-T. YAU, Lattice gases, large deviations, and the incompressible Navier-Stokes equations, Ann. of Math. 148 (1998), 51-108.
13. d, Comm. Math. Phys. 140 (1990), 417-448.
14. S. SETHURAMAN, S. R. S. VARADHAN, and H.-T. YAU, Diffusive limit of a tagged particle in asymmetric simple exclusion processes, Comm. Pure Appl. Math. 53 (2000), 972-1006.
15. H. SPOHN, Large Scale Dynamics of Interacting Particles, Springer-Verlag, New York, 1991.