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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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


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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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\paper Bernoulli shifts and local density property
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 1
\pages 31--37
\mathnet{http://mi.mathnet.ru/vmumm462}
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 1
\pages 29--35
\crossref{https://doi.org/10.3103/S0027132212010056}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870379980}


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