$b$ -adic独立级联函数的图、值域和水平集奇异谱
The graph, range and level set singularity spectra of $b$-adic independent cascade function
摘要:
通过函数的“iso-Hölder”集,我们自然地将函数的图、值域和水平集的子集联系起来。我们计算了一类统计自相似多重分形函数,即$b$ -adic独立级联函数的奇异谱。
英文摘要:
With the "iso-Hölder" sets of a function we naturally associate subsets of the graph, range and level set of the function. We compute the associated singularity spectra for a class of statistically self-similar multifractal functions, namely the $b$-adic independent cascade function.
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