论文标题
双重间歇地图，临界点，无界衍生物和定期变化的尾巴
Doubly Intermittent Maps with Critical Points, Unbounded Derivatives and Regularly Varying Tail
论文作者
论文摘要
我们考虑一类带有关键点，无限衍生物和规则变化的尾巴的双重间歇地图。在某些温和的假设下，我们证明存在独特混合绝对连续不变的度量，并给出了措施是有限的条件。这扩展了Coates，Luzzatto和Mubarak的以前作品，以定期变化的尾巴地图。特别是，我们查看边界案例，该边界案例缓慢变化的函数的行为决定不变度的度量是有限的还是无限的。
We consider a class of doubly intermittent maps with critical points, unbounded derivative and regularly varying tails. Under some mild assumptions we prove the existence of a unique mixing absolutely continuous invariant measure and give conditions under which the measure is finite. This extends former work by Coates, Luzzatto and Mubarak to maps with regularly varying tails. Particularly, we look at the boundary case where the behaviour of the slowly varying function decides if the invariant measure is finite or infinite.
