Analytical and numerical studies of creation probabilities of hierarchical trees

Details Analytical and numerical studies of creation probabilities of hierarchical trees Analytical and numerical studies of creation probabilities of hierarchical trees

2011-06-17

arxiv.org/abs/1106.3578v1

Condens. Matter Phys., 2011, vol. 14, No. 1, 14001:1-6 (Rapid Communications)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

10.5488/CMP.14.14001

We consider the creation conditions of diverse hierarchical trees both analytically and numerically. A connection between the probabilities to create hierarchical levels and the probability to associate these levels into a united structure is studied. We argue that a consistent probabilistic picture requires the use of deformed algebra. Our consideration is based on the study of the main types of hierarchical trees, among which both regular and degenerate ones are studied analytically, while the creation probabilities of Fibonacci, scale-free and arbitrary trees are determined numerically.

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