论文标题
连续性模量，用于悬浮液流的光谱测量塞勒姆型取代
Modulus of continuity for spectral measures of suspension flows over Salem type substitutions
论文作者
论文摘要
我们研究了由原始取代产生的亚换挡的自相似悬浮液流的范围。我们专注于替代矩阵具有塞勒姆数α作为主要特征值的情况。我们获得了远离零和属于场Q（α）的频谱测量值的Hölder指数。该指数仅取决于每个点的三个参数：其绝对值，其真实共轭物的绝对值及其分母。
We study the spectrum of the self-similar suspension flows of sub-shifts arising from primitive substitutions. We focus on the case where the substitution matrix has a Salem number α as dominant eigenvalue. We obtain a Hölder exponent for the spectral measures for points away from zero and belonging to the field Q(α). This exponent depends only on three parameters of each of these points: its absolute value, the absolute value of its real conjugate and its denominator.
