基于分形方法估算部分商为a或b的连分数集维数

Based on Fractal Geometry Method Estimate Continued Fraction Sets' Dimension of Partial Quotient a or b

连分数的展开式具有结构上的自相似性,部分商满足一定条件的连分数构成的集合是分形集,通过构造迭代映射的方法估算其Hausdorff维数.

Continued fraction expansion has such type structure as the self-similarity fractal sets ,its partial quotientwhicd meets some certain conditions is a fractal set, Haussdorff dimension can estimated by the means of construingiterative mapping method.