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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, Number 1, Pages 31–37
(Mi vmumm462)
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Mathematics
Bernoulli shifts and local density property
S. V. Tikhonov Russian State University of Trade and Economics, Moscow
Abstract:
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.
Key words:
mixing transformations, entropy, Bernoulli shift.
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English version:
Moscow University Mathematics Bulletin, 2012, 67:1, 29–35
Bibliographic databases:
UDC:
517 Received: 21.01.2011
Citation:
S. V. Tikhonov, “Bernoulli shifts and local density property”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 1, 31–37; Moscow University Mathematics Bulletin, 67:1 (2012), 29–35
Citation in format AMSBIB
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\jour Moscow University Mathematics Bulletin
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