典型上圈邻近映射的构造及应用
Construction and applications of proximal maps for typical cocycles
摘要：
对于有限型子移位上的典型余圈，我们证明了对于任意给定的轨道段，我们可以构造一个周期轨道，使得它遮蔽给定的轨道段，并且沿着它的轨道的余圈的乘积是一个近线性映射.使用这个结果，我们表明，适当的假设周期轨道的后果在整个subshift。
英文摘要：
For typical cocycles over subshifts of finite type, we show that for any given orbit segment, we can construct a periodic orbit such that it shadows the given orbit segment and that the product of the cocycle along its orbit is a proximal linear map. Using this result, we show that suitable assumptions on the periodic orbits have consequences over the entire subshift.
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