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Asymptotic behavior of the scaling entropy of the Pascal adic transformation. / Lodkin, A. A.; Manaev, I. E.; Minabutdinov, A. R.
в: Journal of Mathematical Sciences, Том 174, № 1, 2011, стр. 28-35.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Asymptotic behavior of the scaling entropy of the Pascal adic transformation
AU - Lodkin, A. A.
AU - Manaev, I. E.
AU - Minabutdinov, A. R.
PY - 2011
Y1 - 2011
N2 - In this paper, we give an estimate on the growth of the scaling sequence of the Pascal adic transformation with respect to the sup-metric. We construct a special class of α-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibliography: 14 titles.
AB - In this paper, we give an estimate on the growth of the scaling sequence of the Pascal adic transformation with respect to the sup-metric. We construct a special class of α-names of positive cumulative measure. The linear growth of its cardinality implies the logarithmic growth of the scaling sequence. Bibliography: 14 titles.
KW - adic transformation
KW - Pascal automorphism
KW - scaling sequence
U2 - 10.1007/s10958-011-0278-x
DO - 10.1007/s10958-011-0278-x
M3 - Article
VL - 174
SP - 28
EP - 35
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 1
ER -
ID: 5295083