Internal DLA on mated-CRT maps
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911784320892928 |
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| author | Bou-Rabee, Ahmed Gwynne, Ewain |
| author_facet | Bou-Rabee, Ahmed Gwynne, Ewain |
| contents | We prove a shape theorem for internal diffusion limited aggregation on mated-CRT maps, a family of random planar maps which approximate Liouville quantum gravity (LQG) surfaces. The limit is an LQG harmonic ball, which we constructed in a companion paper. We also prove an analogous result for the divisible sandpile. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_04891 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Internal DLA on mated-CRT maps Bou-Rabee, Ahmed Gwynne, Ewain Probability Mathematical Physics Analysis of PDEs We prove a shape theorem for internal diffusion limited aggregation on mated-CRT maps, a family of random planar maps which approximate Liouville quantum gravity (LQG) surfaces. The limit is an LQG harmonic ball, which we constructed in a companion paper. We also prove an analogous result for the divisible sandpile. |
| title | Internal DLA on mated-CRT maps |
| topic | Probability Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2211.04891 |