Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.01120 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917079988305920 |
|---|---|
| author | Pinheiro, Carla Mariana da Silva |
| author_facet | Pinheiro, Carla Mariana da Silva |
| contents | We explore the multiplicative statistics for a unitary random matrix ensemble with a parameter-dependent deformation inserted in the probability measure. Such deformations had been studied for a bounded or decaying parameter. In this work, we extend the previous results for a growing parameter under a controlled rate, and show that the underlying statistics relate to the lower tail study for the KPZ equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01120 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic expansion for multiplicative statistics in a Hermitian matrix model connected to the lower tail of the KPZ equation Pinheiro, Carla Mariana da Silva Mathematical Physics We explore the multiplicative statistics for a unitary random matrix ensemble with a parameter-dependent deformation inserted in the probability measure. Such deformations had been studied for a bounded or decaying parameter. In this work, we extend the previous results for a growing parameter under a controlled rate, and show that the underlying statistics relate to the lower tail study for the KPZ equation. |
| title | Asymptotic expansion for multiplicative statistics in a Hermitian matrix model connected to the lower tail of the KPZ equation |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.01120 |