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Working paper

Attractors of direct products

arxiv.org. math. Cornell University, 2020. No. arXiv:2011.04824.
Stanislav Minkov, Ivan Shilin.
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows φ on S^2 for which the attractor of the Cartesian square of φ is smaller than the Cartesian square of the attractor of φ. In the example for the minimal attractors, the flow φ also has an SRB-measure such that its square does not coincide with an SRB-measure of the square of φ.