Compactness and fractal dimensions of inhomogeneous continuum random trees

被引：0

作者：

Blanc-Renaudie, Arthur ^{[1
]}

机构：

[1] Sorbonne Univ, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris 05, France

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2023年 / 185卷 / 3-4期

关键词：

ICRT; Inhomogeneous continuum random trees; Compactness; Fractal dimensions; Stick breaking; Polya urn;

D O I：

10.1007/s00440-022-01138-9

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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 Levy trees. We also compute the fractal dimensions (Minkowski, Packing, Hausdorff).

引用

页码：961 / 991

页数：31

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