论文标题
典型共生近端地图的构建和应用
Construction and applications of proximal maps for typical cocycles
论文作者
论文摘要
对于典型的有限类型的子缩合，我们表明，对于任何给定的轨道段，我们可以构造一个周期性的轨道，以使其阴影给定的轨道段，并且沿其轨道的旋转的乘积是近端线性映射。使用此结果，我们表明对周期轨道的合适假设在整个子移位中都会产生后果。
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.
