符号空间上Takagi函数的局部水平集
The Local Level Sets of Takagi on Symbol Space

利用符号空间上Moran集的维数性质,研究符号空间上Takagi函数水平集和局部水平集的维数,对符号空间中任意一点给出其对应局部水平集的维数,最后讨论了局部水平集Hausdorff维数的某种连续性.
With Moran set on symbol space,the Hausdorff dimension of the level sets and the local level set of Takagi function f(σ) on the symbol space are discussed.Exact Hausdorff dimension of the local level set for any point in symbol space is obtained.At last,the continuity of Hausdorff dimension on the local level sets is studied