论文标题
线性偏斜产品中的概率阴影
Probabilistic shadowing in linear skew products
论文作者
论文摘要
我们研究了线性偏斜产物的精确轨迹对随机有限伪标题的阴影概率。我们描述了一般条件，在这些条件下，可以用高概率（相对于其长度）精确地将随机伪标点遮蔽。满足一般条件的示例是伯努利（Bernoulli）偏移的连续线性偏斜产物，在圆圈上加倍地图以及圆环上的任何Anosov线性图。证明中使用的主要工具是Cramer的大偏差定理。
We investigate the probability of shadowing of a random finite pseudotrajectory by an exact trajectory for linear skew products. We describe general conditions under which a random pseudotrajectory can be shadowed with polynomial (with respect to its length) precision with high probability. Examples satisfying that general condition are continuous linear skew products over Bernoulli shift, doubling map on a circle, and any Anosov linear map on a torus. The main tool used in the proof is Cramer's large deviation theorem.
