论文标题

与关键点和奇异性的双间歇性全分支地图

Doubly Intermittent Full Branch Maps with Critical Points and Singularities

论文作者

Coates, Douglas, Luzzatto, Stefano, Mubarak, Muhammad

论文摘要

我们研究了一类一维完整分支地图,这些地图承认两个冷漠的固定点以及临界点和/或无界导数。在一些温和的假设下,我们证明存在绝对连续的概率度量,研究其相关性衰减率并证明了许多极限定理。

We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous probability measures, study its rate of decay of correlation and prove a number of limit theorems.

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