Compactness and fractal dimensions of inhomogeneous continuum random trees

被引：0

作者：

Arthur Blanc-Renaudie

机构：

[1] Sorbonne Université,Campus Pierre et Marie

来源：

Probability Theory and Related Fields | 2023年 / 185卷

关键词：

ICRT; Inhomogeneous continuum random trees; Compactness; Fractal dimensions; Stick breaking; Pólya urn; 60D05; 60F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a new stick-breaking construction for inhomogeneous continuum random trees. This new construction allows us to prove the necessary and sufficient condition for compactness conjectured by Aldous et al. (Probab Theory Relat Fields 129(2):182–218, 2004) by comparison with Lévy trees. We also compute the fractal dimensions (Minkowski, Packing, Hausdorff).

引用

页码：961 / 991

页数：30

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