论文标题
满足中心极限定理的平滑系统的统计特性的灵活性
Flexibility of statistical properties for smooth systems satisfying the central limit theorem
论文作者
论文摘要
在本文中，我们展示了满足中心极限定理（CLT）的新型平滑系统，并且具有以下属性之一： （1）零熵； （2）弱但不是强烈的混合； （3）（多项式）混合，而不是$ k $； （4）$ k $但不是伯诺利； （5）非Bernoulli并以任意快速多项式速率混合。 我们还举了一个满足CLT的系统的示例，其中正常化序列定期使用索引$ 1 $变化。
In this paper we exhibit new classes of smooth systems which satisfy the Central Limit Theorem (CLT) and have (at least) one of the following properties: (1) zero entropy; (2) weak but not strong mixing; (3) (polynomially) mixing but not $K$; (4) $K$ but not Bernoulli; (5) non Bernoulli and mixing at arbitrary fast polynomial rate. We also give an example of a system satisfying the CLT where the normalizing sequence is regularly varying with index $1$.
