Geodesic
An example of interpolation of the standard sequence of measurable partitions with large scaling entropy
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VII, Tome 292 (2002), pp. 5-10

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Decreasing sequences of partitions have two different invariants – the scaling entropy and the main invariant. In this note we construct a number of examples of nonstandard sequences with large scaling entropy and a standard 4-adic subsequence. 
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     author = {A. Gorbulsky},
     title = {An example of interpolation of the standard sequence of measurable partitions with large scaling entropy},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {292},
     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_292_a0/}
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A. Gorbulsky. An example of interpolation of the standard sequence of measurable partitions with large scaling entropy. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VII, Tome 292 (2002), pp. 5-10. http://geodesic.mathdoc.fr/item/ZNSL_2002_292_a0/