论文标题
诱导多维分段扩展地图的方案
Inducing schemes for multi-dimensional piecewise expanding maps
论文作者
论文摘要
我们为一般的多维分段扩展地图构建了诱导方案，在该图中，基本转换为Gibbs-Markov，返回时间具有指数式的尾巴。这些结构是证明具有一定双曲线的动态系统的统计特性的关键工具。
We construct inducing schemes for general multi-dimensional piecewise expanding maps where the base transformation is Gibbs-Markov and the return times have exponential tails. Such structures are a crucial tool in proving statistical properties of dynamical systems with some hyperbolicity.
