Dissecting the circle, at random
Dissecting the circle, at random
复制标题
随机剖切圆
DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
N. Curien
中科院分区：
文献类型：
--
作者：
N. Curien
圆盘的随机叠层是正多边形随机不相交叠层的连续极限。我们提供一个关于这个问题的简要说明。由Aldous关于布朗三角剖分的工作开创的这个方程，现在已经具有了圆盘的随机递归三角剖分、稳定分层和马尔可夫双曲三角剖分等许多性质。我们将回顾这些对象的性质和结构，以及它们与连续随机树理论的密切关系。一些开放性问题分散在沿着文本。
Random laminations of the disk are the continuous limits of random non-crossing congurations of regular polygons. We provide an expository account on this subject. Initiated by the work of Aldous on the Brownian triangulation, this eld now possesses many characters such as the random recursive triangulation, the stable laminations and the Markovian hyperbolic triangulation of the disk. We will review the properties and constructions of these objects as well as the close relationships they enjoy with the theory of continuous random trees. Some open questions are scattered along the text.