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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年8月12日

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  • Ernesto García,
  • Pablo Lessa

摘要

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.