Vető, Bálint (2015) Tracy-Widom limit of q-Hahn TASEP. ELECTRONIC JOURNAL OF PROBABILITY, 20. ISSN 1083-6489
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Official URL: https://doi.org/10.1214/EJP.v20-4241
Abstract
We consider the q-Hahn TASEP which is a three-parameter family of discrete time interacting particle systems. The particles jump to the right independently according to a certain q-Binomial distribution with parallel updates. It is a gen- eralization of the totally asymmetric simple exclusion process (TASEP) on Z. For step initial condition, we prove that the current fluctuation of q-Hahn TASEP at time τ is of order τ 1/3 and asymptotically distributed as the GUE Tracy–Widom distribution. We verify the KPZ scaling theory conjecture for the q-Hahn TASEP.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Dec 2023 15:30 |
| Last Modified: | 04 Dec 2023 15:30 |
| URI: | http://real.mtak.hu/id/eprint/181769 |
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