Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density. (English) Zbl 1406.82012
The authors study the totally asymmetric simple exclusion process in continuous time on \(\mathbb{Z}\). They show the Gaussian orthogonal ensamble Tracy-Widom universality of the one-point fluctuations of the associated height function.
Reviewer: Nenad Manojlović (Faro)
MSC:
| 82C22 | Interacting particle systems in time-dependent statistical mechanics |
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 60B20 | Random matrices (probabilistic aspects) |
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