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

Author:

Hoffman Christopher

Abstract

Kalikow (1982) proved that the [ T , T 1 ] [T,T^{-1}] transformation is not isomorphic to a Bernoulli shift. We show that the scenery factor of the [ T , T 1 ] [T,T^{-1}] transformation is not isomorphic to a Bernoulli shift. Moreover, we show that it is not Kakutani equivalent to a Bernoulli shift.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

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3. 𝑇,𝑇⁻¹ transformation is not loosely Bernoulli;Kalikow, Steven Arthur;Ann. of Math. (2),1982

4. A direct proof that VWB processes are closed in the 𝑑̄-metric;Kieffer, John C.;Israel J. Math.,1982

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