论文标题
关于纯奇异频谱的替代自动形态
On substitution automorphisms with pure singular spectrum
论文作者
论文摘要
替代自动形态具有纯粹的奇异光谱的足够条件，是根据相关光谱共同体的顶部Lyapunov指数给出的。作为推论，对于无限的自相似间隔交换转换的家族，建立了频谱的奇异性。
A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a corollary, singularity of the spectrum is established for an infinite family of self-similar interval exchange transformations.
