How does the supercritical GMC converge?
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917447935721472 |
|---|---|
| author | Bertacco, Federico Hairer, Martin |
| author_facet | Bertacco, Federico Hairer, Martin |
| contents | In the spirit of [M. Biskup & O. Louidor, Adv. Math. 330 (2018)], we study the local structure of $\star$-scale invariant fields -- a class of log-correlated Gaussian fields -- around their extremal points by characterising the law of the "shape" of the field's configuration near such points. As a consequence, we obtain a refined understanding of the freezing phenomenon in supercritical Gaussian multiplicative chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06956 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | How does the supercritical GMC converge? Bertacco, Federico Hairer, Martin Probability Mathematical Physics In the spirit of [M. Biskup & O. Louidor, Adv. Math. 330 (2018)], we study the local structure of $\star$-scale invariant fields -- a class of log-correlated Gaussian fields -- around their extremal points by characterising the law of the "shape" of the field's configuration near such points. As a consequence, we obtain a refined understanding of the freezing phenomenon in supercritical Gaussian multiplicative chaos. |
| title | How does the supercritical GMC converge? |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2504.06956 |