Spine representations for non-compact models of random geometry
Probability
2020-06-23 v1
Abstract
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.
Cite
@article{arxiv.2006.12066,
title = {Spine representations for non-compact models of random geometry},
author = {Jean-François Le Gall and Armand Riera},
journal= {arXiv preprint arXiv:2006.12066},
year = {2020}
}
Comments
53 pages