Geodesic
Asymptotic behavior of the scaling entropy of the Pascal adic transformation
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 58-72

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In this paper, we give an estimation for the growth of the scaling sequence of the Pascal adic transformation with respect to the $\sup$-metric. We construct a special class of $\alpha$-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibl. 14 titles. 
@article{ZNSL_2010_378_a5,
     author = {A. A. Lodkin and I. E. Manaev and A. R. Minabutdinov},
     title = {Asymptotic behavior of the scaling entropy of the {Pascal} adic transformation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {58--72},
     publisher = {mathdoc},
     volume = {378},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a5/}
}
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A. A. Lodkin; I. E. Manaev; A. R. Minabutdinov. Asymptotic behavior of the scaling entropy of the Pascal adic transformation. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 58-72. http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a5/