论文标题
具有周期性重复模式的度量分解
The disintegration of measures with periodic repetitive pattern
论文作者
论文摘要
在用圆纤维图上局部恒定的偏斜产物的背景下,我们引入了具有周期性重复模式的度量概念,灵感来自\ cite {gorilyklenal:05},其中包括他们构建的非纤维性测量。我们证明,这些措施沿着中央纤维具有原子分解。
In the context of locally constant skew-products over the shift with circle fiber maps we introduce the notion of measures with periodic repetitive pattern, inspired by \cite{GorIlyKleNal:05} and which includes the non-hyperbolic measures they construct. We prove that these measures have atomic disintegration along the central fibers.