AI 中文总结
该研究针对满足开集条件的仿射张成公共基整自相似集，证明了加权完全无理奇异向量的豪斯多夫维数下界，且该下界在三分康托平方情形下优于此前结果。
AI 中文摘要
我们证明了满足开集条件的仿射张成公共基整自相似集中的加权完全无理奇异向量的豪斯多夫维数下界。对于三分康托平方，该下界改进了此前已知的显式下界。
英文摘要
We prove a lower bound for the Hausdorff dimension of weighted totally irrational singular vectors in affine-spanning common-base integral self-similar sets satisfying the open set condition. For the middle-third Cantor square, the bound improves the previously known explicit lower bound.
Comments15 pages, 2 figures, 1 table. Corrected cross-reference labels for definitions, lemmas, and corollaries; no changes to mathematical results
