The intermediate level-sets of the four-dimensional membrane model
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911162225917952 |
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| author | Li, Xinyi Liu, Runsheng |
| author_facet | Li, Xinyi Liu, Runsheng |
| contents | In this paper, we consider the discrete membrane model in four dimensions. We confirm the existence of the scaling limit of the intermediate (i.e., a multiple of the expected maximum) level-sets of the model, and show that it is equal in law to the sub-critical Gaussian multiplicative chaos (GMC) measure of the continuum membrane model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03621 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The intermediate level-sets of the four-dimensional membrane model Li, Xinyi Liu, Runsheng Probability 60G15, 60G60 In this paper, we consider the discrete membrane model in four dimensions. We confirm the existence of the scaling limit of the intermediate (i.e., a multiple of the expected maximum) level-sets of the model, and show that it is equal in law to the sub-critical Gaussian multiplicative chaos (GMC) measure of the continuum membrane model. |
| title | The intermediate level-sets of the four-dimensional membrane model |
| topic | Probability 60G15, 60G60 |
| url | https://arxiv.org/abs/2205.03621 |