Zhihong Xia, Peizheng Yu
Published 2024-04-29Version 1
Inspired by examples of Katok and Milnor \cite{Milnor1997}, we construct a simple example of skew-product volume preserving diffeomorphism where the center foliation is pathological in the sense that, there is a full measure set whose intersection with any center leaf contains at most one point.
Absence of mixing in area-preserving flows on surfaces
How typical are pathological foliations in partially hyperbolic dynamics: an example
Rigidity of a class of smooth singular flows on $\mathbb T^2$
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