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Lodkin, Andrei Aleksandrovich

Total publications: 37 (20)
in MathSciNet: 12 (8)
in zbMATH: 13 (8)
in Web of Science: 4
in Scopus: 7 (7)
Cited articles: 7
Citations: 35
Presentations: 2

Number of views:
This page:1200
Abstract pages:6237
Full texts:2695
References:478
Associate professor
Candidate of physico-mathematical sciences (1975)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: operator algebras, dynamical systems, Diophantine approximation.

Subject:

Analysis, operator algebras, dynamical systems.

   
Main publications:
  1. A. A. Lodkin, A. R. Minabutdinov, “Limiting curves for the Pascal adic transformation”, J. Math. Sci. (N. Y.), 216:1 (2016), 94–119  mathnet  crossref  mathscinet  elib  scopus
  2. A. A. Lodkin, B. A. Rubshtein, “The structure and classification of factors”, J. Soviet Math., 38:2 (1987), 1773–1798  mathnet  crossref  mathscinet  zmath
  3. 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  mathscinet  zmath
  4. A. A. Lodkin, “Absolute continuity of measures corresponding to Markov processes with discrete time”, Theory Probab. Appl., 16:4 (1971), 690–694  mathnet  crossref  mathscinet  zmath
  5. 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.  zmath

https://www.mathnet.ru/eng/person12164
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/214462
https://elibrary.ru/author_items.asp?spin=8826-1750
https://www.webofscience.com/wos/author/record/M-9483-2013
https://www.scopus.com/authid/detail.url?authorId=16499727200

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. 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  mathnet  crossref  crossref  crossref  scopus

   2020
2. A. A. Lodkin, “Klein sail and Diophantine approximation of a vector”, J. Math. Sci. (N. Y.), 247:5 (2020), 680-687  crossref  scopus

   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  mathnet  crossref  zmath  elib
4. A. A. Lodkin, “Multidimensional generalization of phyllotaxis”, Cybernetics and Physics, 8:3 (2019), 153–160  crossref  elib  scopus 2

   2018
5. A. A. Lodkin, “Maloizvestnaya stranitsa istorii Sankt-Peterburgskogo matematicheskogo obschestva”, Matematika v vysshem obrazovanii, 16 (2018), 67-70  elib

   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  mathnet  crossref  mathscinet  elib  scopus

   2015
7. A. A. Lodkin, “O Sankt-Peterburgskom matematicheskom obschestve”, Matematika v vysshem obrazovanii, 13 (2015), 211-212  elib

   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  mathnet  crossref  mathscinet  elib  scopus

   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  mathnet  crossref  scopus

   2007
10. A. A. Lodkin, “Preface of the editor”, J. Math. Sci. (N. Y.), 140:3 (2007), 345  mathnet  crossref  scopus

   2004
11. A. A. Lodkin, “Quasicrystallic tilings and projection method”, J. Math. Sci. (N. Y.), 121:3 (2004), 2393–2400  mathnet  crossref  mathscinet  zmath  elib

   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.  zmath

   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  mathnet  crossref  mathscinet  zmath

   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  mathscinet  zmath

   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  mathnet  crossref  mathscinet  zmath
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  mathnet  mathscinet  zmath

   1971
20. A. A. Lodkin, “Absolute continuity of measures corresponding to Markov processes with discrete time”, Theory Probab. Appl., 16:4 (1971), 690–694  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. On a certain family of positive definite functions on the free group
A. M. Vershik, A. A. Lodkin
St. Petersburg Seminar on Representation Theory and Dynamical Systems
November 23, 2016 17:00
2. Mathematical theory of quasicrystals
A. A. Lodkin
Meetings of the St. Petersburg Mathematical Society
November 23, 2000

Books in Math-Net.Ru
  1. 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

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