论文标题
塞勒姆数量，光谱半径和双曲线甲基的生长速率
Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups
论文作者
论文摘要
我们表明，并非每个塞勒姆人数都作为共同体双曲线甲基组的生长速率出现。我们还提供了一个新的证据，证明了平面双曲线群的增长率是Coxeter转化的光谱半径，并表明这对于双曲线四面体Coxeter组的增长速率不一定是这种情况。
We show that not every Salem number appears as the growth rate of a cocompact hyperbolic Coxeter group. We also give a new proof of the fact that the growth rates of planar hyperbolic Coxeter groups are spectral radii of Coxeter transformations, and show that this need not be the case for growth rates of hyperbolic tetrahedral Coxeter groups.
