Multifractal spectra of branching measure on a Galton-Watson tree

Journal of Applied Probability

Volumn 39, Issue 1, 2002, Pages 100-111

  Shieh, Narn Rueih ^a   Taylor, S James ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Branching measure; Galton Watson tree; Hausdorff dimension; Multifractal spectrum; Packing dimension

Indexed keywords

EID: 0035998656     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1019737991     Document Type: Article

References (15)

1. On the limit of a supercritical branching process
2. Thick points for spatial Brownian motions: Multifractal analysis of occupation measure
3. Trees generated by a simple branching process
4. The multifractal structure of stable occupation measure
5. Lim sup random fractals
6. The exact Hausdorff dimension of a branching set
7. The growth of an entire characteristic function and the tail probabilities of the limit of a tree martingale
8. Local dimension of the branching measure on a Galton-Watson tree
9. A uniform limit law for the branching measure on a Galton-Watson tree
10. Ergodic theory on Galton-Watson trees
11. Galton-Watson trees with the same mean have the same polar sets
12. The multifractal structure of super-Brownian motion
13. Logarithmic multifractal spectrum of stable occupation measure