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Simultaneous Multifractal Analysis of the Branching and Visibility Measure on a Galton-Watson Tree

Simultaneous Multifractal Analysis of the Branching and Visibility Measure on a Galton-Watson Tree

On the boundary of a Galton-Watson tree we can define the visibility measure by splitting mass equally between the children of each vertex, and the branching measure by splitting unit mass equally between all vertices in the n th generation and then letting n go to infinity. The multifractal structure …