The genealogy of Galton-Watson trees
The genealogy of Galton-Watson trees
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DOI：
10.1214/19-ejp355
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发表时间：
2019-01-01
影响因子：
1.4
通讯作者：
Johnston, Samuel G. G.
中科院分区：
文献类型：
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作者：
Johnston, Samuel G. G.
取一个连续时间的高尔顿-沃森树，从时间T上存活的粒子中均匀挑选k个不同的粒子。他们的家谱是什么样子的？几位作者研究了k = 2的情况，一般k的近临界渐近性出现在Harris，约翰斯顿和罗伯茨（2018）[9]中。在这里，我们给出了完整的图片。
Take a continuous-time Galton-Watson tree and pick k distinct particles uniformly from those alive at a time T. What does their genealogical tree look like? The case k = 2 has been studied by several authors, and the near-critical asymptotics for general k appear in Harris, Johnston and Roberts (2018) [9]. Here we give the full picture.