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
Kaimanovich, V. (ed.); Lodkin, A. (ed.) Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. (English) Zbl 1098.22001 Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). ix, 246 p. (2006). MSC: 22-06 37-06 05-06 00B15 PDFBibTeX XMLCite \textit{V. Kaimanovich} (ed.) and \textit{A. Lodkin} (ed.), Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8--13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (2006; Zbl 1098.22001)
Lodkin, A. A. Quasicrystallic tilings and projection method. (English. Russian original) Zbl 1069.37012 J. Math. Sci., New York 121, No. 3, 2393-2400 (2004); translation from Zap. Nauchn. Semin. POMI 283, 178-192 (2001). MSC: 37B50 28A80 52C23 PDFBibTeX XMLCite \textit{A. A. Lodkin}, J. Math. Sci., New York 121, No. 3, 2393--2400 (2001; Zbl 1069.37012); translation from Zap. Nauchn. Semin. POMI 283, 178--192 (2001) Full Text: DOI