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arXiv · 2607.25567

Random Trees in Hyperbolic FPP

Riddhipratim Basu·Mahan Mj
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Abstract

We start by surveying known properties of first passage percolation (FPP) geodesics on a Gromov-hyperbolic group $G$. Due to a coalescence phenomenon established in earlier work of the authors, a random tree $T(\xi,\omega)$ consisting of infinite random geodesics to a point $\xi$ on the Gromov boundary $\partial G$ emerges naturally. These trees have a rich random geometry that we explore further in this paper.

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Riddhipratim Basu, Mahan Mj. 2026-07-28. Random Trees in Hyperbolic FPP. https://arxiv.org/abs/2607.25567

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