Abstract
The lacunary and orbital isomorphism problem is solved for a wide class of decreasing sequences of measurable partitions of Lebesgue spaces which are finitely isomorphic to the standard Bernoulli sequences.
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Rubshtein, BZ. Lacunary isomorphism of decreasing sequences of measurable partitions. Isr. J. Math. 97, 317–345 (1997). https://doi.org/10.1007/BF02774044
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DOI: https://doi.org/10.1007/BF02774044