A. A. Lodkin, A. R. Minabutdinov, “Limiting curves for the Pascal adic transformation”, J. Math. Sci. (N. Y.), 216:1 (2016), 94–119
A. A. Lodkin, B. A. Rubshtein, “The structure and classification of factors”, J. Soviet Math., 38:2 (1987), 1773–1798
A. A. Lodkin, A. M. Vershik, “Approximation for actions of amenable groups and transversal automorphisms”, Operator Algebras and their Connections with Topology and Ergodic Theory, Proceedings (Buşteni, Romania, Aug. 29–Sept. 9, 1983), Lect. Notes in Math., 1132, eds. H. Araki, C. C. Moore, Springer-Verlag, Berlin Heidelberg New York Tokyo, 1985, 331-346
A. A. Lodkin, “Absolute continuity of measures corresponding to Markov processes with discrete time”, Theory Probab. Appl., 16:4 (1971), 690–694
B. M. Makarov, M. G. Goluzina, A. A. Lodkin, A. N. Podkorytov, Izbrannye zadachi po veschestvennomu analizu, 2-e izd., pererabotannoe i dopolnennoe, Nevskii Dialekt; BKhV-Peterburg, SPb., 2004 , 624 pp.
A. A. Lodkin, B. A. Rubshtein, “On the conjugacy of measurable partitions with respect to the normalizer of a full type $\mathrm{II}_1$ ergodic group”, Funct. Anal. Appl., 58:2 (2024), 194–210
2020
2.
A. A. Lodkin, “Klein sail and Diophantine approximation of a vector”, J. Math. Sci. (N. Y.), 247:5 (2020), 680-687
2019
3.
A. A. Lodkin, “Parus Kleina i diofantovy priblizheniya vektora”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye i algoritmicheskie metody. XXX, Zap. nauchn. sem. POMI, 481, POMI, SPb., 2019, 63–73
4.
A. A. Lodkin, “Multidimensional generalization of phyllotaxis”, Cybernetics and Physics, 8:3 (2019), 153–160
A. A. Lodkin, “Maloizvestnaya stranitsa istorii Sankt-Peterburgskogo matematicheskogo obschestva”, Matematika v vysshem obrazovanii, 16 (2018), 67-70
2016
6.
A. A. Lodkin, A. R. Minabutdinov, “Limiting curves for the Pascal adic transformation”, J. Math. Sci. (N. Y.), 216:1 (2016), 94–119
2015
7.
A. A. Lodkin, “O Sankt-Peterburgskom matematicheskom obschestve”, Matematika v vysshem obrazovanii, 13 (2015), 211-212
2013
8.
A. A. Lodkin, I. E. Manaev, A. R. Minabutdinov, “A realization of the Pascal automorphism in the concatenation graph, and the function $s_2(n)$”, J. Math. Sci. (N. Y.), 190:3 (2013), 459–463
2011
9.
A. A. Lodkin, I. E. Manaev, A. R. Minabutdinov, “Asymptotic behavior of the scaling entropy of the Pascal adic transformation”, J. Math. Sci. (N. Y.), 174:1 (2011), 28–35
2007
10.
A. A. Lodkin, “Preface of the editor”, J. Math. Sci. (N. Y.), 140:3 (2007), 345
2004
11.
A. A. Lodkin, “Quasicrystallic tilings and projection method”, J. Math. Sci. (N. Y.), 121:3 (2004), 2393–2400
1992
12.
B. M. Makarov, M. G. Goluzina, A. A. Lodkin, A. N. Podkorytov, Izbrannye zadachi po veschestvennomu analizu, Nauka, fiz.-mat., M., 1992 , 432 pp.
1987
13.
A. A. Lodkin, “Matematicheskoe modelirovanie fillotaksisa”, V Vsesoyuznaya shkola po teoreticheskoi morfologii rastenii (Lvov, 15–18 sentyabrya 1987 g.), 1987, 59–65
14.
A. A. Lodkin, B. A. Rubshtein, “The structure and classification of factors”, J. Soviet Math., 38:2 (1987), 1773–1798
1985
15.
A. A. Lodkin, A. M. Vershik, “Approximation for actions of amenable groups and transversal automorphisms”, Operator Algebras and their Connections with Topology and Ergodic Theory, Proceedings (Buşteni, Romania, Aug. 29–Sept. 9, 1983), Lect. Notes in Math., 1132, eds. H. Araki, C. C. Moore, Springer-Verlag, Berlin Heidelberg New York Tokyo, 1985, 331-346
1983
16.
A. A. Lodkin, “Nekommutativnyi analog teoremy o razlozhenii mery”, Teoriya operatorov i teoriya funktsii, 1, LGU, L., 1983, 194–198
1979
17.
A. A. Lodkin, “Approksimatsiya dinamicheskikh sistem i spektralnaya teoriya v faktore tipa II$_1$”, Operatory matematicheskoi fiziki i beskonechnomernyi analiz, Inst. matematiki AN USSR, Kiev, 1979, 73–102
1974
18.
A. A. Lodkin, “Every measure on the projectors of a $W^*$-algebra can be extended to a state”, Funct. Anal. Appl., 8:4 (1974), 318–321
19.
A. A. Lodkin, “A lemma on approximation of finite-dimensional $*$-algebras”, Investigations on linear operators and function theory. Part V, Zap. Nauchn. Sem. LOMI, 47, “Nauka”, Leningrad. Otdel., Leningrad, 1974, 175–178
1971
20.
A. A. Lodkin, “Absolute continuity of measures corresponding to Markov processes with discrete time”, Theory Probab. Appl., 16:4 (1971), 690–694
Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Zap. Nauchn. Sem. POMI, 326, ed. A. A. Lodkin, 2005 http://mi.mathnet.ru/book418