Patrik, Ferrari and Vető, Bálint (2015) Tracy-Widom asymptotics for q-TASEP. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 51 (4). pp. 1465-1485. ISSN 0246-0203
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Official URL: https://doi.org/10.1214/14-AIHP614
Abstract
We consider the q-TASEP that is a q-deformation of the totally asymmetric simple exclusion process (TASEP) on Z for q ∈ [0, 1) where the jump rates depend on the gap to the next particle. For step initial condition, we prove that the current fluctuation of q-TASEP at time τ is of order τ 1/3 and asymptotically distributed as the GUE Tracy–Widom distribution, which confirms the KPZ scaling theory conjecture.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 10 Oct 2023 13:16 |
| Last Modified: | 10 Oct 2023 13:16 |
| URI: | http://real.mtak.hu/id/eprint/176433 |
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