Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 1, Pages 31–37 (Mi vmumm462)  
Mathematics

Bernoulli shifts and local density property

S. V. Tikhonov

Russian State University of Trade and Economics, Moscow
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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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 8508.2010.1
Received: 21.01.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 1, Pages 29–35
DOI: https://doi.org/10.3103/S0027132212010056
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
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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