论文标题
分形中线性光谱拆卸
Linearized spectral decimation in fractals
论文作者
论文摘要
在本文中，我们研究具有块状结构的分形的能级光谱。我们开发了一种根据光谱删除程序线性化研究光谱特性并进行数值验证的方法。我们的方法为动态系统理论中的自相似图的各种光谱特性提供了定性的解释，包括幂律级别间距分布，状态的平滑密度和有效的混乱制度。
In this article we study the energy level spectrum of fractals which have block-hierarchical structures. We develop a method to study the spectral properties in terms of linearization of spectral decimation procedure and verify it numerically. Our approach provides qualitative explanations for various spectral properties of self-similar graphs within the theory of dynamical systems, including power-law level-spacing distribution, smooth density of states and effective chaotic regime.
