From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914682206420992 |
|---|---|
| author | Bryc, Wlodek Wang, Yizao Wesolowski, Jacek |
| author_facet | Bryc, Wlodek Wang, Yizao Wesolowski, Jacek |
| contents | Barraquand and Le~Doussal introduced a family of stationary measures for the (conjectural) KPZ fixed point on an interval with Neumann boundary conditions, and predicted that they arise as scaling limit of stationary measures of all models in the KPZ universality class on an interval. In this paper, we show that the stationary measures for KPZ fixed point on an interval arise as the scaling limits of the height increment processes for the open asymmetric simple exclusion process in the steady state, with parameters changing appropriately as the size of the system tends to infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_11869 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval Bryc, Wlodek Wang, Yizao Wesolowski, Jacek Probability Mathematical Physics 60K35 Barraquand and Le~Doussal introduced a family of stationary measures for the (conjectural) KPZ fixed point on an interval with Neumann boundary conditions, and predicted that they arise as scaling limit of stationary measures of all models in the KPZ universality class on an interval. In this paper, we show that the stationary measures for KPZ fixed point on an interval arise as the scaling limits of the height increment processes for the open asymmetric simple exclusion process in the steady state, with parameters changing appropriately as the size of the system tends to infinity. |
| title | From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval |
| topic | Probability Mathematical Physics 60K35 |
| url | https://arxiv.org/abs/2202.11869 |