Geodesic
The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical
Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 630-632.

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     author = {V. V. Ryzhikov},
     title = {The isomorphism of measure-preserving transformations with isomorphic {Cartesian} powers is typical},
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V. V. Ryzhikov. The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical. Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 630-632. http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a14/

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[2] Stepin A. M., Izv. AN SSSR. Ser. matem., 50:4 (1986), 801–834 | MR