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Cutting and independent stacking of intervals

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Abstract

Methods of cutting and stacking intervals have been frequently used in ergodic theory to construct transformations with special properties. We show that for independent stacking the partition into subintervals is a Markov partition. In particular, if the resulting transformation is mixing it must be a Bernoulli shift.

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Shields, P. Cutting and independent stacking of intervals. Math. Systems Theory 7, 1–4 (1973). https://doi.org/10.1007/BF01824799

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  • DOI: https://doi.org/10.1007/BF01824799

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