论文标题
cantor套装的lacunary小波系列
Lacunary wavelet series on Cantor sets
论文作者
论文摘要
我们提供了有关cantor套件的脱离小波系列的多重分析分析。通过引入小波的尺度和康托集构建步骤的尺度之间的介入，我们获得了随机过程，使Donot基于Legendre Transform和小波领导者的巨大偏差满足多重形式主义。随后，我们展示了领导者对此类小波序列“裂解”版本的大偏差光谱的计算如何仅使用数值数量来检测多型形式主义的失败。
We provide a multifractal analysis of lacunary wavelet series on Cantor sets. Byintroducing a desynchronization between the scales of the wavelets and the scales of the steps of the construction of the Cantor set, we obtain random processes that donot satisfy multifractal formalisms based on the Legendre transform and on the large deviation of wavelet leaders. Subsequently, we show how the computation of the leader large deviation spectra of "lacunarized" versions of such wavelet series can detect the failure in the multifractal formalism using only numerical quantities.
