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math.PR2017
Dimension Drop for Transient Random Walks on Galton-Watson Trees in Random Environments
Pierre Rousselin
We prove that the dimension drop phenomenon holds for the harmonic measure associated to a transient random walk in a random environment (as defined by R. Lyons and R. Pemantle in…
math.PR2017
Invariant Measures, Hausdorff Dimension and Dimension Drop of some Harmonic Measures on Galton-Watson Trees
Pierre Rousselin
We consider infinite Galton-Watson trees without leaves together with i.i.d.~random variables called marks on each of their vertices. We define a class of flow rules on marked Galt…