论文标题
弱混合的BV矢量场的一个例子，该场不强烈混合
An example of a weakly mixing BV vector field which is not strongly mixing
论文作者
论文摘要
我们给出了一个弱混合向量场$ b \ in l^\ infty（[0,1]，\ text {bv}（\ mathbb {t}^2））$的示例。该示例是基于chacon的作品，该作品构建了一种弱混合的自动形态，该自动形态不强烈（[0,1]，\ Mathcal {b}（[0,1]）（[0,1]），| \ cdot |）$，其中$ \ nathcal {b}（b}（b}（[0,1]）$是$ bot of cd $ bot of cd $ [0,1] $ [0,1] Lebesgue度量。
We give an example of a weakly mixing vector field $b\in L^\infty([0,1],\text{BV}(\mathbb{T}^2))$ which is not strongly mixing. The example is based on a work of Chacon who constructed a weakly mixing automorphism which is not strongly mixing on $([0,1],\mathcal{B}([0,1]),|\cdot|)$, where $\mathcal{B}([0,1])$ are the Borel subsets of $[0,1]$ and $|\cdot|$ is the one-dimensional Lebesgue measure.
