An example of a weakly mixing BV vector field which is not strongly mixing
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Date
2022-08-14
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Abstract
We give an example of a weakly mixing vector field b ∈ L∞([0, 1], BV(T2)) which is not strongly mixing, in the setting first introduced in [3]. The example is based on a work of Chacon [4] who constructed a weakly mixing automorphism which is not strongly mixing on ([0, 1], B([0, 1]), | · |), where B([0, 1]) are the Borel subsets of [0, 1] and | · | is the one-dimensional Lebesgue measure.