s-凸，模型集及其关系
s-convexity, model sets and their relation
摘要：
对与二次么正Pisot数有关的准晶，解释了s-凸性与物理准晶集合的关系。我们证明了一维模型集对参数s的有限集可刻画为s-凸。结果表明，与实验观察到的非晶体学对称性有关的三个Pisot数$\frac12(1+\sqrt5)$、$1+\sqrt2$和$2+\sqrt3$在s-凸性方面是例外的.
英文摘要：
The relation of s-convexity and sets modeling physical quasicrystals is explained for quasicrystals related to quadratic unitary Pisot numbers. We show that 1-dimensional model sets may be characterized by s-convexity for finite set of parameters s. It is shown that the three Pisot numbers $\frac12(1+\sqrt5)$, $1+\sqrt2$, and $2+\sqrt3$ related to experimentally observed non-crystallographic symmetries are exceptional with respect to s-convexity.
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