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Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups

Published 23 Jan 2023 in math.GT and math.PR | (2301.09714v2)

Abstract: We prove that the harmonic measures of certain finite range random walks on Fuchsian Schottky groups, have dimension strictly smaller than the Hausdorff dimension of the corresponding limit set.

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