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arXiv · 2211.04891

Internal DLA on mated-CRT maps

Ahmed Bou-Rabee·Ewain Gwynne
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Abstract

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.

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BibTeXRIS

Ahmed Bou-Rabee, Ewain Gwynne. 2022-11-09. Internal DLA on mated-CRT maps. https://arxiv.org/abs/2211.04891

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