Fuchsian Schottky 群上某些有限范围随机游走的调和测度维数下降
几何拓扑
2025-07-25 v3 概率论
摘要
我们证明 Fuchsian Schottky 群上某些有限范围随机游走的调和测度,其维数严格小于相应极限集的 Hausdorff 维数。
引用
@article{arxiv.2301.09714,
title = {Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups},
author = {Ernesto García and Pablo Lessa},
journal= {arXiv preprint arXiv:2301.09714},
year = {2025}
}