论文标题
通常超环随机向量
Frequently hypercyclic random vectors
论文作者
论文摘要
我们表明，在适当的条件下，操作员像在某些序列空间上的移动一样，具有经常的超环体随机向量，其分布强烈地与操作员混合。该结果将应用于混乱的加权偏移。我们还将其应用于满足频繁过度环境标准的每个操作员，从而恢复了Murillo和Peris的结果。
We show that, under suitable conditions, an operator acting like a shift on some sequence space has a frequently hypercyclic random vector whose distribution is strongly mixing for the operator. This result will be applied to chaotic weighted shifts. We also apply it to every operator satisfying the Frequent Hypercyclicity Criterion, recovering a result of Murillo and Peris.
