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.

中文翻译：

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随机几何的非紧凑模型的脊椎表示

我们为随机几何的三个主要非紧致模型提供了统一的方法，即布朗平面、无限体积布朗圆盘和布朗半平面。这种方法使我们能够研究这些模型之间的关系，特别是证明布朗平面中的外壳的补充是无限体积的布朗圆盘。