The scenery factor of the [T,T^-^1] transformation is not loosely Bernoulli

The scenery factor of the [T,T^-^1] transformation is not loosely Bernoulli
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DOI:
10.1090/s0002-9939-03-07206-x
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发表时间:
2003-12
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通讯作者:
C. Hoffman
C. Hoffman
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其他
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作者:
C. Hoffman

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Kalikow(1982)证明了[T,T-1]变换不同构于Bernoulli移位。我们证明了[T,T-1]变换的风景因子与Bernoulli位移不是同构的.此外,我们表明,它不是Kakutani相当于伯努利位移。
Kalikow (1982) proved that the [T,T -1 ] transformation is not isomorphic to a Bernoulli shift. We show that the scenery factor of the [T, T -1 ] transformation is not isomorphic to a Bernoulli shift. Moreover, we show that it is not Kakutani equivalent to a Bernoulli shift.