An example of a weakly mixing BV vector field which is not strongly mixing

Zizza, Martina

dc.contributor.author	Zizza, Martina
dc.date.accessioned	2022-08-25T06:40:51Z
dc.date.available	2022-08-25T06:40:51Z
dc.date.issued	2022-08-14
dc.identifier.uri	http://preprints.sissa.it:8080/xmlui/handle/1963/35450
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.title	An example of a weakly mixing BV vector field which is not strongly mixing	en_US
dc.type	Preprint	en_US
dc.contributor.area	mathematics	en_US