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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.05541 |
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| _version_ | 1866908695883939840 |
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| author | Kammerer, Emmanuel |
| author_facet | Kammerer, Emmanuel |
| contents | We prove that for $n = 2$ the gaskets of critical rigid $O(n)$ loop-decorated random planar maps are $3/2$-stable maps. The case $n = 2$ thus corresponds to the critical case in random planar maps. The proof relies on the Wiener-Hopf factorisation for random walks. Our techniques also provide a characterisation of weight sequences of critical $O(2)$ loop-decorated maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05541 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gaskets of $O(2)$ loop-decorated random planar maps Kammerer, Emmanuel Probability Mathematical Physics 60D05 60K35 60G50 We prove that for $n = 2$ the gaskets of critical rigid $O(n)$ loop-decorated random planar maps are $3/2$-stable maps. The case $n = 2$ thus corresponds to the critical case in random planar maps. The proof relies on the Wiener-Hopf factorisation for random walks. Our techniques also provide a characterisation of weight sequences of critical $O(2)$ loop-decorated maps. |
| title | Gaskets of $O(2)$ loop-decorated random planar maps |
| topic | Probability Mathematical Physics 60D05 60K35 60G50 |
| url | https://arxiv.org/abs/2411.05541 |