Compactness and fractal dimensions of inhomogeneous continuum random trees
成果类型：
Article
署名作者：
Blanc-Renaudie, Arthur
署名单位：
Sorbonne Universite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-022-01138-9
发表日期：
2023
页码：
961-991
关键词：
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).
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