We present different continuous models of random geometry that have been introduced and studied in recent years. In particular, we consider the Brownian sphere (also called the Brownian map), which is the universal scaling limit of large planar maps in the Gromov-Hausdorff sense, and the Brownian disk, which appears as the scaling limit of planar maps with a boundary. We discuss the construction of these models, and we emphasize the role played by Brownian motion indexed by the Brownian tree.

中文翻译：

---

布朗几何

我们介绍了近年来引入和研究的随机几何的不同连续模型。特别地，我们考虑布朗球（也称为布朗图），它是Gromov-Hausdorff意义上的大型平面图的通用比例极限，而布朗盘则显示为带有边界的平面图的比例极限。我们讨论了这些模型的构造，并强调了由布朗树索引的布朗运动所扮演的角色。