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Markov (Jr.), Andrei Andreevich
(1903–1979)
Total publications: 124 (121)
in MathSciNet: 45 (44)
in zbMATH: 55 (54)
Cited articles: 30
Citations: 192

Number of views:
This page:4883
Abstract pages:26517
Full texts:14392
References:41
Corresponding member of USSR Academy of Sciences
Doctor of physico-mathematical sciences (1935)
Birth date: 22.09.1903

https://www.mathnet.ru/eng/person31962
https://ru.wikipedia.org/wiki/Markov,_Andrei_Andreevich_(mladshii)
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:markov.andrei-andreyevich-jun
https://mathscinet.ams.org/mathscinet/MRAuthorID/207229

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


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

   2003
1. A. A. Markov, Izbrannye trudy, Teoriya algorifmov i konstruktivnaya matematika, Matematicheskaya logika, Informatika i smezhnye voprosy, v. II, ed. N. M. Nagornyi, Izd-vo MTsNMO, M., 2003 , xx+626 pp.

   2002
2. A. A. Markov, Izbrannye trudy, Matematika, Mekhanika, Fizika, v. I, ed. N. M. Nagornyi, Izd-vo MTsNMO, M., 2002 , viii+478 pp.

   1996
3. A. A. Markov, N. M. Nagornyi, Teoriya algorifmov, 2-e izd., ispr. i dop., FAZIS, M., 1996 , xlviii+448 pp.

   1988
4. A. A. Markov, N. M. Nagorny, The Theory of Algorithms, Math. and its Applies. Soviet series, 23, Kluwer Acad. Publs., Dordrecht etc., 1988 , 369 pp.

   1987
5. A. A. Markov, “Chto takoe konstruktivnaya matematika? Vvedenie”, Zakonomernosti razvitiya sovremennoi matematiki: Metodologicheskie aspekty, Publikatsiya i predislovie N. M. Nagornogo, ed. M. I. Panov, Nauka, M., 1987, 209–212

   1984
6. A. A. Markov, Elementy matematicheskoi logiki, Izd-vo Mosk. un-ta, M., 1984 , 79 pp.
7. A. A. Markov, N. M. Nagornyi, Teoriya algorifmov, Nauka, M., 1984 , 432 pp.

   1977
8. A. A. Markov, “On semantical language hierarchy in a constructive mathematical logic”, Proc. 5-th Int. Congr. Logic, Metodol. and Philos. of Sci. Univ., Western Ontario Ser. Philos. Sci., 9, Reidel, Dordrecht, 1977  mathscinet

   1976
9. A. A. Markov, “An attempt to construct the logic of constructive mathematics”, Studies in the theory of algorithms and mathematical logic, v. 2, eds. A. A. Markov, B. A. Kushner, Comp. Cent. Aka. Nauk SSSR, M., 1976, 3–31  mathscinet

   1974
10. A. A. Markov, “On the completeness of the classical predicate calculus in constructive mathematical logic”, Dokl. Akad. Nauk SSSR, 215:2 (1974), 266–269  mathnet  mathscinet  zmath
11. A. A. Markov, “O yazyke Ya$_{\omega\mid}$”, Dokl. AN SSSR, 215:1 (1974), 57–60  mathnet  mathscinet  zmath
12. A. A. Markov, “O yazyke Ya$_\omega$”, Dokl. AN SSSR, 214:6 (1974), 1262–1264  mathnet  mathscinet  zmath 1
13. A. A. Markov, “O yazykakh Ya$_4$, Ya$_5,\dots$”, Dokl. AN SSSR, 214:5 (1974), 1031–1034  mathnet  mathscinet  zmath 1
14. A. A. Markov, “O yazyke Ya$_3$”, Dokl. AN SSSR, 214:4 (1974), 765–768  mathnet  mathscinet  zmath 1
15. A. A. Markov, “O yazyke Ya$_2$”, Dokl. AN SSSR, 214:3 (1974), 513–516  mathnet  mathscinet  zmath 1
16. A. A. Markov, “O yazyke Ya$_1$”, Dokl. AN SSSR, 214:2 (1974), 279–282  mathnet  mathscinet  zmath 1
17. A. A. Markov, “O yazyke Ya$_0$”, Dokl. AN SSSR, 214:1 (1974), 40–43  mathnet  mathscinet  zmath 3

   1973
18. A. A. Markov, N. M. Nagornyi, Ob odnom podkhode k opisaniyu raboty vychislitelnykh mashin, Tekst doklada na Mezhdunarodnom simpoziume “Mathematical Foundations of Computer Science” (1973), 1973 , 12 pp.

   1972
19. A. A. Markov, O logike konstruktivnoi matematiki, Novoe v zhizni, nauke, tekhnike. Ser. Matematika, kibernetika, 8, Znanie, M., 1972 , 47 pp.

   1971
20. A. A. Markov, “Essai de construction d'une logique de la mathématique constructive”, Rev. internat. philos., 25:4 (1971), 477–507  mathscinet
21. A. A. Markov, “On the logic of constructive mathematics”, Proceedings of the Inter-Institute Symposium-School “Foundations of mathematics” (Obninsk, 1971), Centr. Bureau of Philosophical (Methodological) Seminars of the Academy of Sciences of the USSR, Mathem. Inst. of the Acad. of Sci. of USSR, 1971, 23 pp.

   1970
22. A. A. Markov, “On the logic of constructive mathematics”, Vestn. Mosc. Univ. Ser. 1. Mathematics. Mechanics, 25:2 (1970), 7–29  mathscinet  zmath

   1968
23. A. A. Markov, “An approach to constructive mathematical logic”, Logic, Methodology and Philosophy of Science III, Proceedings of the 3rd International Congress (Amsterdam, 1967), eds. B. van Rootselaar, J. F. Staal, North-Holland, Amsterdam, 1968, 283–294  crossref  mathscinet 1

   1967
24. A. A. Markov, N. M. Nagorny, “About a language for describing the operation of computers”, Probl. Kiber., 19 (1967), 5–38  zmath
25. A. A. Markov, An approach to constructive mathematical logic, VTs AN SSSR, M., 1967 , 15 pp.
26. A. A. Markov, “Normal algorithms connected with the computation of boolean functions”, Izv. Math., 1:1 (1967), 151–194  mathnet  crossref  mathscinet  zmath

   1966
27. A. A. Markov, “On algorithms connected with the computation of Boolean functions”, Information Processing, 1965, Proceedings of IFIP Congress (New York City, 1965), v. 2, ed. W. A. Kalenich, Spartan Books, Washington, 1966, 499
28. A. A. Markov, On lower degrees of constructive mathematical logic, VTs AN SSSR, M., 1966 , 11 pp.
29. A. A. Markov, “Lower steps of constructive mathematical logic”, Abstracts of brief scientific communications of the International Congress of Mathematicians, Section 1 (Moscow, 1966), 1966, 20  zmath

   1965
30. A. A. Markov, “Kommentarii”: Geiting A., Intuitsionizm. Vvedenie, Per. s angl. Pod red. i s komment. A. A. Markova, Mir, M., 1965, 161–195

   1964
31. A. A. Markov, “Constructive trends (in mathematics and logic)”, Philosophical Encyclopedia, v. 3, Soviet Encyclopedia, M., 1964, 50–51
32. A. A. Markov, “Normal algorithms which compute Boolean functions”, Dokl. Akad. Nauk SSSR, 157:2 (1964), 262–264  mathnet  mathscinet  zmath
33. A. A. Markov, Chto takoe kibernetika?, Kibernetika, myshlenie, zhizn, Mysl, M., 1964, 39–52
34. A. A. Markov, “Ob otnoshenii fizicheskikh zakonov k biologicheskim”, O suschnosti zhizni, eds. G. M. Frank i dr., Nauka, M., 1964, 168–169

   1963
35. A. Markov, “On the inversion complexity of a system of Boolean functions”, Dokl. Akad. Nauk SSSR, 150:3 (1963), 477–479  mathnet  mathscinet  zmath
36. A. A. Markov, “Indistinguishability by invariants in the theory of associative calculi”, Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963), 907–936  mathnet  mathscinet  zmath
37. A. A. Markov, “On certain algorithms related to systems of words”, Izv. Akad. Nauk SSSR Ser. Mat., 27:1 (1963), 101–160  mathnet  mathscinet  zmath

   1962
38. A. A. Markov, “On minimal contact-valve two-terminal networks for monotone symmetric functions”, Probl. Kiber., 8 (1962), 117–121  zmath
39. A. A. Markov, “Sur les invariants calculables”, Ann. Fac. sci. Univ. Clermont, 7 (1962), 117–120  mathscinet
40. A. A. Markov, “On computable invariants”, Dokl. Akad. Nauk SSSR, 146:5 (1962), 1017–1020  mathnet  mathscinet  zmath
41. A. A. Markov, “On constructive mathematics”, Problems of the constructive direction in mathematics. Part 2. Constructive mathematical analysis, Collection of articles, Trudy Mat. Inst. Steklov., 67, Acad. Sci. USSR, Moscow–Leningrad, 1962, 8–14  mathnet  mathscinet  zmath

   1960
42. A. A. Markov, “Unsolvability of the problem of homeomorphy”, Proceedings of the International Congress of Mathematicians (Edinburgh, 1958), Cambridge University Press, 1960, 300–306

   1959
43. A. A. Markov, “Printsipy konstruktivnogo napravleniya v matematike i teoriya algorifmov: Obzornyi doklad”, I Mezhvuzovskaya konferentsiya po konstruktivnoi teorii funktsii, Tezisy dokladov, L., 1959, 70–71

   1958
44. A. A. Markov, “Unsolvability of the homeomorphy problem”, Usp. Matem. Nauk, 13:4 (1958), 213–216  mathnet
45. A. A. Markov, “On the inversion complexity of a system of functions”, J. Assoc. Comput. Machinery, 5:4 (1958), 331–334  crossref  mathscinet  zmath 52
46. A. A. Markov, “On the problem of matrix representability”, Z. math. Logik und Grundl. Math., 4:2 (1958), 157–168  zmath
47. A. Markov, “Unsolvability of certain problems in topology”, Dokl. Akad. Nauk SSSR, 123:6 (1958), 978–980  mathnet  mathscinet  zmath
48. A. Markov, “The insolubility of the problem of homeomorphy”, Dokl. Akad. Nauk SSSR, 121:2 (1958), 218–220  mathnet  mathscinet  zmath
49. A. A. Markov, “Constructive functions”, Problems of the constructive direction in mathematics. Part 1, Trudy Mat. Inst. Steklov., 52, Acad. Sci. USSR, Moscow–Leningrad, 1958, 315–348  mathnet  mathscinet  zmath
50. A. A. Markov, Nerazreshimost problemy gomeomorfii, Preprint Matem. in-ta im. V. A. Steklova, Izd-vo ITM i VT AN SSSR, M., 1958 , 11 pp.

   1957
51. A. A. Markov, “Mathematical logic and computational mathematics”, Vesti. Akad. Nauk SSSR, 27:8 (1957), 21–25  zmath
52. A. A. Markov, “On the inversion complexity of function systems”, Dokl. Akad. Nauk SSSR, 116:6 (1957), 917–919  mathnet  mathscinet  zmath
53. A. A. Markov, “Ob inversionnoi slozhnosti sistemy funktsii”, Tezisy dokladov na Vsesoyuznom soveschanii po teorii ustroistv releinogo deistviya v Moskve, Izd-vo AN SSSR, M., 1957, 32
54. A. A. Markov, “O minimalnykh kontaktno-ventilnykh skhemakh, realizuyuschikh monotonnye simmetricheskie funktsii”, Tezisy dokladov na Vsesoyuznom soveschanii po teorii ustroistv releinogo deistviya v Moskve, Izd-vo AN SSSR, M., 1957, 13–15
55. A. A. Markov, “On a principle of constructive mathematical logic”, Proceedings of the III All-Union Mathematical Congress (Moscow, 1956), v. 2, 146–147  mathscinet

   1954
56. A. A. Markov, “On the continuity of constructive functions”, Usp. Matem. Nauk, 9:3 (1954), 226–229  mathnet  mathscinet
57. A. A. Markov, “Mathematical Logic”, Great Soviet Encyclopedia, v. 25, 2nd Ed., Soviet Encyclopedia, M., 1954, 338–341
58. A. A. Markov, “The theory of algorithms”, Trudy Mat. Inst. Steklov., 42, Acad. Sci. USSR, Moscow–Leningrad, 1954, 3–375 , 376 pp.  mathnet  mathscinet  zmath

   1953
59. A. A. Markov, “Nepreryvnost konstruktivnykh funktsii”, Nauchnaya sessiya LGU 1952-1953 g., Tezisy dokladov po sektsii matematicheskikh nauk, L., 1953, 22

   1952
60. A. A. Markov, “Speech in the discussion on the report of B. N. Delaunay “Ways for the Development of Algebra” at the All-Union Conference on Algebra and Number Theory, Moscow, 1951”, Usp. Matem. Nauk, 7:3 (1952), 170–173  mathnet  mathscinet  zmath
61. A. A. Markov, “Theory of algorithms”, Az Elsö Magyar matematikai kongresszus közlemenyyei (Budapest, 1950), Akadémiai Kiadö, Budapest, 1952, 191–203
62. A. A. Markov, “On unsolvable algorithmic problems”, Mat. Sb. (N.S.), 31(73):1 (1952), 34–42  mathnet  mathscinet  zmath

   1951
63. A. A. Markov, “Impossibility of some algorithms in the theory of associative systems”, Dokl. Akad. Nauk SSSR, 77:1 (1951), 19–20  zmath
64. A. A. Markov, “Impossibility of algorithms for recognising some properties of associative systems”, Dokl. Akad. Nauk SSSR, 77:6 (1951), 953–956  zmath
65. A. A. Markov, “On an unsolvable problem concerning matrices”, Dokl. Akad. Nauk SSSR, 78:6 (1951), 1089–1092  zmath
66. A. A. Markov, “The theory of algorithms”, Collection of articles. To the sixtieth birthday of academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklov., 38, Acad. Sci. USSR, Moscow, 1951, 176–189  mathnet  mathscinet  zmath
67. A. A. Markov, “Biografiya A. A. Markova”, Markov A. A. Izbrannye trudy. Teoriya chisel. Teoriya veroyatnostei, ed. Yu. V. Linnik, Izd-vo AN SSSR, M., 1951, 599–613

   1950
68. A. A. Markov, “Constructive logic”, UMN, 5:3 (1950), 187–188  mathnet

   1949
69. A. A. Markov, “On the representation of recursive functions”, Izv. Akad. Nauk SSSR Ser. Mat., 13:5 (1949), 417–424  mathnet  mathscinet  zmath
70. A. A. Markov, “Ob integrirovanii v bulevskikh algebrakh”, Tezisy doklada na VI nauchnoi sessii LGU 1949 g., L., 1949 , 1 pp.

   1948
71. A. A. Markov, “Topology”, Mathematics in the USSR For Thirty Years. 1917–1947, Gostekhizdat, M.–L., 1948, 183–227
72. A. A. Markov, “On the dependence of axiom B6 on the other axioms of the Bernays–Gödel system”, Izv. Akad. Nauk SSSR Ser. Mat., 12:6 (1948), 569–570  mathnet  mathscinet  zmath
73. A. A. Markov, “On binary quadratic forms with positive determinant”, Uspekhi Mat. Nauk, 3:5(27) (1948), 7–51  mathnet  mathscinet  zmath

   1947
74. A. A. Markov, “Impossibility of identity and divisibility algorithms in the theory of associative systems”, Usp. Matem. Nauk, 2:2 (1947), 193
75. A. A. Markov, “Impossibility of some algorithms in associative systems”, Usp. Matem. Nauk, 2:3 (1947), 184
76. A. A. Markov, “Impossibility of some algorithms in the theory of associative systems”, Dokl. Akad. Nauk SSSR, 55:7 (1947), 587–590
77. A. A. Markov, “On some unsolvable problems concerning matrices”, Dokl. Akad. Nauk SSSR, 57:6 (1947), 539–542  zmath
78. A. A. Markov, “Impossibility of some algorithms in the theory of associative systems. II”, Dokl. Akad. Nauk SSSR, 58:3 (1947), 353–356  zmath
79. A. A. Markov, “On the representation of recursive functions”, Dokl. Akad. Nauk SSSR, 58:9 (1947), 1891–1892  zmath
80. A. A. Markov, “On variational principles in the theory of plasticity”, Appl. Math. and Mechan., 11:3 (1947), 339–350  zmath

   1946
81. A. Markoff, “On unconditionally closed sets”, Rec. Math. [Mat. Sbornik] N.S., 18(60):1 (1946), 3–28  mathnet  mathscinet  zmath

   1945
82. A. A. Markoff, “On free topological groups”, Izv. Akad. Nauk SSSR Ser. Mat., 9:1 (1945), 3–64  mathnet  mathscinet  zmath
83. A. Markoff, “Foundations of the algebraic theory of tresses”, Travaux Inst. Math. Stekloff, 16, Acad. Sci. USSR, Moscow–Leningrad, 1945, 3–53 , 54 pp.  mathnet  mathscinet  zmath

   1944
84. A. A. Markov, “On unconditionally closed sets”, Dokl. Akad. Nauk SSSR, 44:5 (1944), 196–197
85. A. Markoff, “On the existence of periodic connected topological group”, Izv. Akad. Nauk SSSR Ser. Mat., 8:5 (1944), 225–232  mathnet  mathscinet  zmath

   1941
86. A. A. Markov, “On free topological groups”, Dokl. Akad. Nauk SSSR, 31:4 (1941), 299–302
87. A. A. Markov, M. Ya. Perelman, On the movement of an air torpedo along an almost vertical part of the trajectory, 1941
88. A. A. Markov, V. V. Nemytskii, V. V. Stepanov, “Primechaniya redaktsii”: Birkgof Dzh. D., Dinamicheskie sistemy, Gostekhizdat, M.–L., 1941, 286–317

   1940
89. A. A. Markov, “What is a smooth surface”, Scientific Notes of LGU, Math. Sci. Ser., 55 (1940), 27–39  zmath
90. A. A. Markov, “The conjugacy problem in the braid group with four strands”, Research Work of Institutes Belonging to the Department of Physical and Mathematical Sciences of the USSR Academy of Sciences., 1940, 24–28
91. A. A. Markov, “On three classes of dynamical systems”, Research Work of Institutes Belonging to the Department of Physical and Mathematical Sciences of the USSR Academy of Sciences., 1940, 28
92. A. Markoff, “On the determination of the number of roots of an algebraic equation, situated in a given domain”, Matem. sb., 7(49):1 (1940), 3–6  mathnet  mathscinet  zmath;

   1939
93. A. Markoff, “On the definition of a complex”, Matem. sb., 5(47):3 (1939), 545–550  mathnet  mathscinet  zmath;

   1938
94. A. A. Markov, “Surface distribution of direct current in the case of an inclined conductive layer”, Materials Center for Sci. Res. Instit., Geophysics, 5 (1938), 455–458
95. A. Markoff, “On mean values and exterior densities”, Matem. sb., 4(46):1 (1938), 165–191  mathnet  zmath; 3
96. A. Markoff, “On the representation of relatively definite functions”, Matem. sb., 4(46):1 (1938), 157–164  mathnet  zmath;

   1937
97. A. A. Markov, “On the existence of an integral invariant”, Dokl. Akad. Nauk SSSR, 17:9 (1937), 455–458

   1936
98. A. A. Markov, “On finite-dimensional vector spaces”, Proceedings of the Second All-Union Mathematical Congress (Leningrad, 1934), v. 2, 1936, 138
99. A. A. Markov, “An arithmetic characterisation of trigonometric polynomials”, Proceedings of the Second All-Union Mathematical Congress (Leningrad, 1934), v. 2, 1936, 202–205
100. A. A. Markov, “Almost periodicity and harmonisation”, Proceedings of the Second All-Union Mathematical Congress (Leningrad, 1934), v. 2, 1936, 227–231
101. A. A. Markov, “On the theory of stationary oscillatory processes of acad. N. M. Krylov and D-Sc. N. N. Bogolyubov”, Proceedings of the Second All-Union Mathematical Congress (Leningrad, 1934), v. 2, 1936, 241–246
102. A. A. Markov, “Letter to the editor of the “Proceedings of the Congress””, Proceedings of the Second All-Union Mathematical Congress (Leningrad, 1934), v. 2, 1936, 250–251
103. A. A. Markov, “On tools which facilitate the construction of functional rectilinear scales”, Proceedings of the Second All-Union Mathematical Congress (Leningrad, 1934), v. 2, 1936, 420–422
104. A. A. Markov, “Sur une propriété charactéristique des polynômes trigonométriques”, Compositio Math., 3 (1936), 305–309  mathscinet
105. A. A. Markov, “Some theorems about abelian sets”, Dokl. Akad. Nauk SSSR, 1:8 (1936), 299–302
106. A. Markoff, “Über die freie Äquivalenz der geschlossenen Zöpfe”, Matem. sb., 1(43):5 (1936), 719  mathnet;
107. A. Markoff, “Über die freie Äquivalenz der geschlossenen Zöpfe”, Matem. sb., 1(43):1 (1936), 73–78  mathnet  zmath; 7

   1935
108. A. A. Markov, “Über endlich-dimensionale Vektorräume”, Ann. Math., 36 (1935), 464–506  crossref  mathscinet 4

   1934
109. A. A. Markov, “On isotopy of compact sets in Euclidean spaces”, Dokl. Akad. Nauk SSSR, 3:3 (1934), 137–141

   1933
110. A. A. Markov, “Stabilität im Liapounoffschen Sinne und Fastperiodizität”, Math. Z., 36:1 (1933), 708–738  crossref  mathscinet 16
111. A. A. Markov, “Sur les espaces vectoriels considérés comme groupes topologiques”, C. R. Acad. Sci. Paris, 197 (1933), 610–612

   1932
112. A. A. Markov, “Über die Ableitbarkeit der Weltmetrik aus der “Früher als”-Beziehung”, Phys. Z. Sow. Union, 1:3 (1932), 387–406
113. A. A. Markov, “Zur “Widerlegung” der quasi-ergodischen Hypothese durch Prof. J. Frenkel”, Phys. Z. Sow. Union, 2:3 (1932), 282–285  zmath

   1931
114. A. A. Markov, “Sur une propriété générale des ensembles minimaux de M. Birkhoff”, C. R. Acad. Sci. Paris, 193 (1931), 823–825

   1930
115. A. A. Markov, “Ob odnom integriruemom sluchae ogranichennoi zadachi trekh tel”, Trudy II, III i IV Astronomicheskikh s'ezdov. 1920–1928, Assots. astronomov RSFSR, L., 1930, 131–132

   1929
116. A. A. Markov, “Sur les mouvements presque périodiques”, C. R. Acad. Sci. Paris, 189 (1929), 732–734  zmath
117. A. Markoff (jun.), “The law of ten thirds and the classification of collisions in the general problem of three bodies”, J. Soc. Phys.-Math. Léningrade, 2:2 (1929), 81–97  mathnet  zmath

   1928
118. A. A. Markov, “Über einige Bewegungsfälle im Dreikörperproblem”, Bull. de l'Inst. Astron., 21 (1928), 5–10

   1927
119. A. A. Markov, “Über eine Minimumeigenschaft der Schrödingerschen Wellengruppen”, Z. Phys., 42:8 (1927), 637–640  crossref  zmath  adsnasa 4

   1926
120. A. A. Markov, “La loi des dix tiers et la classification des chocs dans le problème des trois corps”, Bull. de l'Inst. Astron., 14 (1926), 159–160

   1924
121. A. A. Markov, G. V. Pigulevski, V. V. Vladimirov, “To clarify the process of formation of essential oils in conifers”, J. Russ. Phys.-Chem. Soc. at Leningr. Univ., Chem. Part, 55:1–4 (1924), 175–193

Books in Math-Net.Ru
  1. A. A. Markov, The theory of algorithms, Trudy Mat. Inst. Steklov., 42, 1954, 376 с.
    http://mi.mathnet.ru/book1079
  2. A. Markoff, Foundations of the algebraic theory of tresses, Travaux Inst. Math. Stekloff, 16, 1945, 54 с.
    http://mi.mathnet.ru/book1042

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