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

• 成果类型: Article
• 署名作者: Garcia, Ernesto; Lessa, Pablo
• 署名单位: Universidad de la Republica, Uruguay
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-025-01404-6
• 发表日期: 2025
• 页码: 143-161
• 关键词: quasi-conformal measures; entropy; exponent; coxeter; speed; drift

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.