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ENTROPY AND HAUSDORFF DIMENSION IN RANDOM GROWING TREES

ENTROPY AND HAUSDORFF DIMENSION IN RANDOM GROWING TREES

We investigate the limiting behavior of random tree growth in preferential attachment models. The tree stems from a root, and we add vertices to the system one-by-one at random, according to a rule which depends on the degree distribution of the already existing tree. The so-called weight function, in terms …