Resumen de Attractors of Direct Products

Stanislav Minkov, Ivan Shilin

• For Milnor, statistical, and minimal attractors, we construct examples of smooth flows φ on S2 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 a global physical measure such that its square does not coincide with the global physical measure of the square of φ.