论文标题
在分段单调图的分布频谱上
On distributional spectrum of piecewise monotonic maps
论文作者
论文摘要
我们研究了一定类别的间隔单调图。这些地图严格在有限的间隔分区上单调，满足马尔可夫条件并具有发电机属性。我们表明，对于此类分布混乱的功能，总是存在，我们研究其基本属性。主要结果指出，分布频谱和弱频谱始终是有限的。这是在间隔，圆圈和树上连续地图的相同结果的概括。示例表明，提及课程的条件不能削弱。
We study a certain class of piecewise monotonic maps of interval. These maps are strictly monotone on finite interval partition, satisfies Markov condition and have generator property. We show that for a function from this class distributional chaos is always present and we study its basic properties. Main result states that distributional spectrum as well as weak spectrum is always finite. This is a generalization of same result for continuous maps on the interval, circle and tree. Examples showing that conditions on mentions class can not be weakened are presented.
