Discrete RG flow of a hierarchical singular SPDE
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910057634988032 |
|---|---|
| author | Ferdinand, Leonard Gabriel, Simon |
| author_facet | Ferdinand, Leonard Gabriel, Simon |
| contents | This paper illustrates the Renormalisation Group (RG) approach to singular SPDEs following a framework introduced by Kupiainen \cite{Kupiainen2016}. We study a linear elliptic SPDE with a hierarchical Laplace operator and multiplicative noise, in two dimensions. Although this model is a significant simplification, it captures the core mechanisms of the RG method in a transparent setting. Particular emphasis is placed on the dynamical system governing the flow of the effective force coefficients, the central object of the RG method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17177 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Discrete RG flow of a hierarchical singular SPDE Ferdinand, Leonard Gabriel, Simon Probability This paper illustrates the Renormalisation Group (RG) approach to singular SPDEs following a framework introduced by Kupiainen \cite{Kupiainen2016}. We study a linear elliptic SPDE with a hierarchical Laplace operator and multiplicative noise, in two dimensions. Although this model is a significant simplification, it captures the core mechanisms of the RG method in a transparent setting. Particular emphasis is placed on the dynamical system governing the flow of the effective force coefficients, the central object of the RG method. |
| title | Discrete RG flow of a hierarchical singular SPDE |
| topic | Probability |
| url | https://arxiv.org/abs/2603.17177 |