论文标题
实际上扩展动态
Virtually expanding dynamics
论文作者
论文摘要
我们引入了一类我们称为\ emph {虚拟扩展}的离散动力系统。这是封闭的歧管上的自覆盖地图的一个开放子集，其中包含所有扩展的地图和一些部分双曲体积膨胀的地图。我们表明，Perron-frobenius操作员在此类动力学系统的正顺序上是sobolev空间上的准连接。
We introduce a class of discrete dynamical systems that we call \emph{virtually expanding}. This is an open subset of self-covering maps on a closed manifold which contains all expanding maps and some partially hyperbolic volume-expanding maps. We show that the Perron-Frobenius operator is quasi-compact on a Sobolev space of positive order for such class of dynamical systems.
