Lodkin, A. A.; Minabutdinov, A. R. Limiting curves for the Pascal adic transformation. (English. Russian original) Zbl 1342.37004 J. Math. Sci., New York 216, No. 1, 94-119 (2016); translation from Zap. Nauchn. Semin. POMI 437, 145-183 (2015). MSC: 37A05 28D05 37A45 37M05 PDFBibTeX XMLCite \textit{A. A. Lodkin} and \textit{A. R. Minabutdinov}, J. Math. Sci., New York 216, No. 1, 94--119 (2016; Zbl 1342.37004); translation from Zap. Nauchn. Semin. POMI 437, 145--183 (2015) Full Text: DOI
Lodkin, A. A.; Manaev, I. E.; Minabutdinov, A. R. A realization of the Pascal automorphism in the concatenation graph and the sum-of-digits function \(s_2(n)\). (English. Russian original) Zbl 1338.37016 J. Math. Sci., New York 190, No. 3, 459-463 (2013); translation from Zap. Nauchn. Semin. POMI 403, 95-102 (2012). MSC: 37B05 37A30 08A50 05C90 PDFBibTeX XMLCite \textit{A. A. Lodkin} et al., J. Math. Sci., New York 190, No. 3, 459--463 (2013; Zbl 1338.37016); translation from Zap. Nauchn. Semin. POMI 403, 95--102 (2012) Full Text: DOI
Lodkin, A. A.; Manaev, I. E.; Minabutdinov, A. R. Asymptotic behavior of the scaling entropy of the Pascal adic transformation. (English. Russian original) Zbl 1335.37002 J. Math. Sci., New York 174, No. 1, 28-35 (2011); translation from Zap. Nauchn. Semin. POMI 378, 58-72 (2010). MSC: 37A35 28D05 PDFBibTeX XMLCite \textit{A. A. Lodkin} et al., J. Math. Sci., New York 174, No. 1, 28--35 (2011; Zbl 1335.37002); translation from Zap. Nauchn. Semin. POMI 378, 58--72 (2010) Full Text: DOI