Vető, Bálint (2015) Tracy–Widom limit of q-Hahn TASEP. ELECTRONIC JOURNAL OF PROBABILITY. ISSN 1083-6489
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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 generalization 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 t is of order t^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 > QA Mathematics / matematika |
| Depositing User: | Balint Veto |
| Date Deposited: | 28 Sep 2018 12:59 |
| Last Modified: | 28 Sep 2018 12:59 |
| URI: | http://real.mtak.hu/id/eprint/85879 |
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