We prove here that for a (Baire) generic aperiodic wind-tree model, in almost every direction, all the cartesian powers of the wind-tree flow are ergodic.

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Cite :
Alba Málaga Sabogal, Serge Troubetzkoy, (2018). “Infinite ergodic index of the Ehrenfest wind-tree model.” Commun. Math. Phys. . 358 (995–1006x)).’