单峰映射的连分数和揉序列的动力学
Dynamics of continued fractions and kneading sequences of unimodal maps
摘要：
本文构造了两类一维动力系统的参数空间、α-连分数变换T_α和单峰映射之间的对应关系。这种对应关系确定了两个家庭中的分歧参数，并允许一个从一个设置到其他的拓扑和度量属性。作为一个应用，我们恢复结果的真实切片的Mandelbrot集，和一组univoque数。
英文摘要：
In this paper we construct a correspondence between the parameter spaces of two families of one-dimensional dynamical systems, the alpha-continued fraction transformations T_alpha and unimodal maps. This correspondence identifies bifurcation parameters in the two families, and allows one to transfer topological and metric properties from one setting to the other. As an application, we recover results about the real slice of the Mandelbrot set, and the set of univoque numbers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
