Geodesic
Bernoulli shifts and local density property
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 31-37

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We consider the property LocDen for the squaring map in the space of all measure preserving transformations and in the space of mixing transformations. It is proved that Bernoulli shifts with an infinite entropy do not possess this property. 
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     author = {S. V. Tikhonov},
     title = {Bernoulli shifts and local density property},
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}
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S. V. Tikhonov. Bernoulli shifts and local density property. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 31-37. http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a4/