论文标题
常规生根树的部分自动形态的光谱
Spectrum of partial automorphisms of regular rooted tree
论文作者
论文摘要
我们研究了与常规生根树的随机部分自动形态相关的基质的特征值的特性。我们表明,随着水平的数量流向无穷大,非零特征值的比例在概率上会收敛到零。
We study properties of eigenvalues of a matrix associated with a randomly chosen partial automorphism of a regular rooted tree. We show that asymptotically, as the numbers of levels goes to infinity, the fraction of non-zero eigenvalues converges to zero in probability.