论文标题
具有位置依赖概率的Alsedà-Misiurewicz系统
Alsedà-Misiurewicz systems with place-dependent probabilities
论文作者
论文摘要
我们考虑了单位间隔的两个特定分段线性同构的系统，即所谓的Alsedà-Misiurewicz系统，并研究了马尔可夫链的基本特性，这些链的基本属性是在随机应用概率（根据间隔的点）随机应用概率时出现的。尽管这种迭代功能系统平均不合同，并且已知方法不适用，但是稳定性和大量规律已被证明。
We consider systems of two specific piecewise linear homeomorphisms of the unit interval, so called the Alsedà-Misiurewicz systems, and investigate the basic properties of Markov chains which arise when these two transformations are applied randomly with probabilities depending on the point of the interval. Though this iterated function system is not contracting in average and known methods do not apply, stability and the strong law of large numbers are proven.
