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Publications in Math-Net.Ru |
Citations |
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2007 |
| 1. |
A. M. Vershik, S. V. Kerov, “Four drafts on the representation theory of the group of infinite matrices over a finite field”, Zap. Nauchn. Sem. POMI, 344 (2007), 5–36   ; J. Math. Sci. (N. Y.), 147:6 (2007), 7129–7144  |
18
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2005 |
| 2. |
S. V. Kerov, “Coherent Random Allocations, and the Ewens–Pitman Formula”, Zap. Nauchn. Sem. POMI, 325 (2005), 127–145  ; J. Math. Sci. (N. Y.), 138:3 (2006), 5699–5710 |
9
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2003 |
| 3. |
S. V. Kerov, “Multidimensional hypergeometric distribution, and characters of the unitary group”, Zap. Nauchn. Sem. POMI, 301 (2003), 35–91 ; J. Math. Sci. (N. Y.), 129:2 (2005), 3697–3729 |
2
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2001 |
| 4. |
S. V. Kerov, N. V. Tsilevich, “The Markov–Krein correspondence in several dimensions”, Zap. Nauchn. Sem. POMI, 283 (2001), 98–122 ; J. Math. Sci. (N. Y.), 121:3 (2004), 2345–2359 |
10
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2000 |
| 5. |
S. V. Kerov, “Equilibrium and orthogonal polynomials”, Algebra i Analiz, 12:6 (2000), 224–237 ; St. Petersburg Math. J., 12:6 (2001), 1049–1059 |
3
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| 6. |
S. V. Kerov, “Anisotropic Young Diagrams and Jack Symmetric Functions”, Funktsional. Anal. i Prilozhen., 34:1 (2000), 51–64 ; Funct. Anal. Appl., 34:1 (2000), 41–51  |
47
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1999 |
| 7. |
V. N. Ivanov, S. V. Kerov, “The algebra of conjugacy classes in symmetric groups, and partial permutations”, Zap. Nauchn. Sem. POMI, 256 (1999), 95–120 ; J. Math. Sci. (New York), 107:5 (2001), 4212–4230 |
51
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1998 |
| 8. |
A. M. Vershik, S. V. Kerov, “On an Infinite-Dimensional Group over a Finite Field”, Funktsional. Anal. i Prilozhen., 32:3 (1998), 3–10 ; Funct. Anal. Appl., 32:3 (1998), 147–152 |
34
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1997 |
| 9. |
S. V. Kerov, “Rooks on Ferrers boards and matrix integrals”, Zap. Nauchn. Sem. POMI, 240 (1997), 136–146 ; J. Math. Sci. (New York), 96:5 (1999), 3531–3536 |
8
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1995 |
| 10. |
S. V. Kerov, “Subordinators and the actions of permutations with quasi-invariant measure”, Zap. Nauchn. Sem. POMI, 223 (1995), 181–218 ; J. Math. Sci. (New York), 87:6 (1997), 4094–4117 |
13
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| 11. |
S. V. Kerov, N. V. Tsilevich, “Stick breaking process generated by virtual permutations with Ewens distribution”, Zap. Nauchn. Sem. POMI, 223 (1995), 162–180 ; J. Math. Sci. (New York), 87:6 (1997), 4082–4093 |
10
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1993 |
| 12. |
S. V. Kerov, “Asymptotics of the separation of roots of orthogonal polynomials”, Algebra i Analiz, 5:5 (1993), 68–86 ; St. Petersburg Math. J., 5:5 (1994), 925–941 |
5
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| 13. |
S. Kerov, “The Plancherel growth of Young diagrams and the asymptotics of
alternating sequences”, Dokl. Akad. Nauk, 333:1 (1993), 8–10 ; Dokl. Math., 48:3 (1994), 420–424 |
| 14. |
S. V. Kerov, “Transition Probabilities for Continual Young Diagrams and the Markov Moment Problem”, Funktsional. Anal. i Prilozhen., 27:2 (1993), 32–49 ; Funct. Anal. Appl., 27:2 (1993), 104–117 |
53
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| 15. |
S. Kerov, “The asymptotics of interlacing sequences and the growth of continual Young diagrams”, Zap. Nauchn. Sem. POMI, 205 (1993), 21–29 ; J. Math. Sci., 80:3 (1996), 1760–1767 |
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1992 |
| 16. |
S. V. Kerov, “A $q$-analog of the hook walk algorithm and random Young tableaux”, Funktsional. Anal. i Prilozhen., 26:3 (1992), 35–45 ; Funct. Anal. Appl., 26:3 (1992), 179–187 |
6
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| 17. |
S. V. Kerov, A. N. Kirillov, “On the combinatorics of rational representations of the group $GL(n,\mathbb{C})$”, Zap. Nauchn. Sem. POMI, 200 (1992), 83–90 ; J. Math. Sci., 77:3 (1995), 3190–3194 |
1
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1991 |
| 18. |
S. V. Kerov, “Hall-Littlewood functions and orthogonal polynomials”, Funktsional. Anal. i Prilozhen., 25:1 (1991), 78–81 ; Funct. Anal. Appl., 25:1 (1991), 65–66 |
25
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1990 |
| 19. |
S. V. Kerov, O. A. Orevkova, “Stochastic processes with common contransition probabilities”, Zap. Nauchn. Sem. LOMI, 184 (1990), 169–181 ; J. Math. Sci., 68:4 (1994), 516–525 |
1
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1989 |
| 20. |
S. V. Kerov, A. M. Pass, “On representations with maximal dimension of symmetric groups”, Zap. Nauchn. Sem. LOMI, 172 (1989), 160–166 ; J. Soviet Math., 59:5 (1992), 1131–1135 |
2
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| 21. |
S. V. Kerov, “The invariants algebra for the action of $Sp(2m)$ in $\bigotimes\limits^\infty M_{2m}\mathbb{C}$”, Zap. Nauchn. Sem. LOMI, 172 (1989), 68–77 ; J. Soviet Math., 59:5 (1992), 1072–1078 |
| 22. |
S. V. Kerov, “Combinatorial examples in the theory of $AF$-algebras”, Zap. Nauchn. Sem. LOMI, 172 (1989), 55–67 ; J. Soviet Math., 59:5 (1992), 1063–1071 |
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1988 |
| 23. |
A. M. Vershik, S. V. Kerov, “Characters and realizations of representations of the
infinite-dimensional Hecke algebra, and knot invariants”, Dokl. Akad. Nauk SSSR, 301:4 (1988), 777–780 ; Dokl. Math., 38:1 (1989), 134–137 |
5
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1987 |
| 24. |
S. V. Kerov, “Realizations of representations of the Brauer semigroup”, Zap. Nauchn. Sem. LOMI, 164 (1987), 189–193 |
2
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| 25. |
S. V. Kerov, “Realizations of ${}^\ast$-representations of Hecke algebras and Young's orthogonal form”, Zap. Nauchn. Sem. LOMI, 161 (1987), 155–172 |
2
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1986 |
| 26. |
S. V. Kerov, “On asymptotic distribution of symmetry types of high rank tensors”, Zap. Nauchn. Sem. LOMI, 155 (1986), 181–186 ; J. Soviet Math., 41:2 (1988), 995–999 |
8
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| 27. |
S. V. Kerov, A. N. Kirillov, N. Yu. Reshetikhin, “Combinatorics Bethe ansats and representations of symmetric group”, Zap. Nauchn. Sem. LOMI, 155 (1986), 50–64 ; J. Soviet Math., 41:2 (1988), 916–924 |
60
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1985 |
| 28. |
A. M. Vershik, S. V. Kerov, “Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group”, Funktsional. Anal. i Prilozhen., 19:1 (1985), 25–36 ; Funct. Anal. Appl., 19:1 (1985), 21–31 |
125
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| 29. |
A. M. Vershik, S. V. Kerov, “Locally semisimple algebras. Combinatorial theory and the $K_0$-functor”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 26 (1985), 3–56 ; J. Soviet Math., 38:2 (1987), 1701–1733 |
42
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1984 |
| 30. |
S. V. Kerov, “The Robinson–Schensted–Knuth correspondence and the Littlewood–Richardson rule”, Uspekhi Mat. Nauk, 39:2(236) (1984), 161–162 ; Russian Math. Surveys, 39:2 (1984), 165–166 |
1
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1983 |
| 31. |
S. V. Kerov, “On $W$-graphs of the symmetric group representations”, Zap. Nauchn. Sem. LOMI, 123 (1983), 190–202 |
| 32. |
A. M. Vershik, A. B. Gribov, S. V. Kerov, “Numerical data on the typical dimensions of irreducible sepresentations of symmetric groups”, Zap. Nauchn. Sem. LOMI, 123 (1983), 152–154 |
3
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| 33. |
A. M. Vershik, S. V. Kerov, “The $K$-functOr (Grothndieck group) of the infinite symmetric group.”, Zap. Nauchn. Sem. LOMI, 123 (1983), 126–151 |
6
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1982 |
| 34. |
A. M. Vershik, S. V. Kerov, “Characters and factor representations of the infinite unitary group”, Dokl. Akad. Nauk SSSR, 267:2 (1982), 272–276 |
16
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1981 |
| 35. |
A. M. Vershik, S. V. Kerov, “Characters and factor representations of the infinite symmetric group”, Dokl. Akad. Nauk SSSR, 257:5 (1981), 1037–1040 |
20
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| 36. |
A. M. Vershik, S. V. Kerov, “Asymptotic theory of characters of the symmetric group”, Funktsional. Anal. i Prilozhen., 15:4 (1981), 15–27 ; Funct. Anal. Appl., 15:4 (1981), 246–255 |
144
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1977 |
| 37. |
A. M. Vershik, S. V. Kerov, “Asymptotics of the Plancherel measure of the symmetric group and the limiting form of Young tableaux”, Dokl. Akad. Nauk SSSR, 233:6 (1977), 1024–1027 |
32
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1974 |
| 38. |
S. V. Kerov, “Double algebras of functions on a finite group”, Zap. Nauchn. Sem. LOMI, 39 (1974), 182–185 |
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1994 |
| 39. |
V. I. Arnol'd, M. Sh. Birman, I. M. Gel'fand, I. A. Ibragimov, S. V. Kerov, A. A. Kirillov, O. A. Ladyzhenskaya, G. A. Leonov, A. A. Lodkin, S. P. Novikov, Ya. G. Sinai, M. Z. Solomyak, L. D. Faddeev, “Anatolii Moiseevich Vershik (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 49:3(297) (1994), 195–204 ; Russian Math. Surveys, 49:3 (1994), 207–221 |
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