The statistical geometry of scale-free random trees

Details The statistical geometry of scale-free random trees The statistical geometry of scale-free random trees

2003-08-29

arxiv.org/abs/cond-mat/0308624v2

J. Phys. A: Math. Gen. 37 (2004) 6003

Physics

Condensed Matter

Other Condensed Matter

21 pages, 2 figures, revtex4, minor changes (published version)

Scientific paper

10.1088/0305-4470/37/23/004

The properties of scale-free random trees are investigated using both preconditioning on non-extinction and fixed size averages, in order to study the thermodynamic limit. The scaling form of volume probability is found, the connectivity dimensions are determined and compared with other exponents which describe the growth. The (local) spectral dimension is also determined, through the study of the massless limit of the Gaussian model on such trees.

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