# Spine representations for non-compact models of random geometry

@article{LeGall2021SpineRF,
title={Spine representations for non-compact models of random geometry},
author={Jean-François Le Gall and Armando Riera},
journal={Probability Theory and Related Fields},
year={2021}
}
• Published 22 June 2020
• Mathematics
• Probability Theory and Related Fields
We provide a unified approach to the three main non-compact models of random geometry, namely the Brownian plane, the infinite-volume Brownian disk, and the Brownian half-plane. This approach allows us to investigate relations between these models, and in particular to prove that complements of hulls in the Brownian plane are infinite-volume Brownian disks.

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