Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.00321 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910364622389248 |
|---|---|
| author | Kuan, Jeffrey Zhou, Zhengye |
| author_facet | Kuan, Jeffrey Zhou, Zhengye |
| contents | A previous paper by the authors found explicit contour integral formulas for certain joint moments of the multi-species q-TAZRP (totally asymmetric zero range process), using algebraic methods. These contour integral formulas have a "pseudo-factorized" form which makes asymptotic analysis simpler. In this brief note, we use those contour integral formulas to find the asymptotics of the two-point correlations. As expected, the term arising from the "shift-invariance" makes a non-trivial asymptotic contribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00321 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotics of two-point correlations in the multi-species q-TAZRP Kuan, Jeffrey Zhou, Zhengye Probability Mathematical Physics A previous paper by the authors found explicit contour integral formulas for certain joint moments of the multi-species q-TAZRP (totally asymmetric zero range process), using algebraic methods. These contour integral formulas have a "pseudo-factorized" form which makes asymptotic analysis simpler. In this brief note, we use those contour integral formulas to find the asymptotics of the two-point correlations. As expected, the term arising from the "shift-invariance" makes a non-trivial asymptotic contribution. |
| title | Asymptotics of two-point correlations in the multi-species q-TAZRP |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2305.00321 |