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arXiv · 1412.2038

Entropy of AT(n) systems

Radu-B. Munteanu
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Abstract

In this paper we show that any ergodic measure preserving transformation of a standard probability space which is AT$(n)$ for some positive integer $n$ has zero entropy. We show that for every positive integer $n$ any Bernoulli shift is not AT($n$). We also give an example of a transformation which has zero entropy but does not have property AT($n$), for any integer $n\geq 1$.

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Radu-B. Munteanu. 2014-12-05. Entropy of AT(n) systems. https://doi.org/10.1017/etds.2016.52

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