Publication list of S.V. Kerov

Publications by Sergei Kerov

1974--1983

1984--1988

1989

Posthumous publications

1974 - 1983 papers

Double function algebras on a finite group (in Russian).: Zapiski Nauchn. Seminarov LOMI, v. 39 (1974) 182-185.; English translation: J. Soviet Math., v. 8 (1997), 136-139.
Duality of finite dimensional *-algebras (in Russian).: Vestnik LGU, Math. ser., v. 7 (1974) 23-29.
Asymptotic behavior of the Plancherel measure of the symmetric group and the limit form of Young tableaux (with A.M.Vershik) (in Russian).: Dokl. Mat. Nauk, v. 233 (1977) no. 6, 1024-1027.; English translation: Soviet Math. Dokl. v. 18 (1977) 527-531.
Characters, factor-representations and K-functor of the infinite symmetric group (with A.M.Vershik) (in Russian).: Proc. Int. Conf. on Operator Algebras and Group Representations, Romania, v.1 (1980) 23-32.
Characters and factor representations of the infinite symmetric group (with A. M. Vershik) (in Russian).: Doklady AN SSSR, v. 257 (1981) no. 5 1037-1040.; English translation: Soviet Math. Dokl., v. 23 (1981) no.2, 389-392.
Asymptotic theory of characters of the symmetric group (with A.M.Vershik) (in Russian).: Funkts. Anal. i Pril., v. 15 (1981) no. 4 15-27.; English translation: Funct. Anal. and its Appl., v.15 (1981) 246-255.
Characters and factor-representations of the infinite unitary group (with A. M. Vershik) (in Russian).: Doklady AN SSSR, v. 267 (1982) no. 2, 272-276.; English translation: Soviet Math. Dokl., v. 26 (1982) no.3.
Polynomial dimension groups (in Russian).: In: Operator Theory and Function Theory, Leningrad, no.1 (1983) 185-194.
The K-functor (Grothendieck group) of the infinite symmetric group (with A. M. Vershik) (in Russian).: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 123 (1983) 126-151.; English translation: J. Sov. Math., v. 28 (1985) 549-568.
W-graphs of representations of symmetric groups.: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 123 (1983) 190-202; English translation: J. Sov. Math., v. 28 (1985) 596-605.
Experiments in calculating the dimensionof a typical representation of the symmetric group (with A.Vershik and A.Gribov) (in Russian).: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 123 (1983) 152-154; English translation: J. Sov. Math. v. 28 (1985) 568-570.
Isomorphisms of rings constructed from simplicial schemes (with A. Karp).: Questions of differential geometry "in the large", 60--66, Leningrad. Gos. Ped. Inst., Leningrad. 1983.
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The Robinson-Schensted-Knuth correspondence and the Littlewood-Richardson rule (in Russian).: Uspekhi Mat. Nauk, v. 39 (1984), no. 2, 161-162.; English translation: Russian Math. Surveys, v. 39 (1984) 165-166.
Asymptotic behavior of the maximal and generic dimensions of irreducible representations of the symmetric group (with A.Vershik) (in Russian).: Funkts. Anal. i Prilozhen. v. 19 (1985), no. 1, 25--36, 96.; English translation: Funct. Anal. and its Appl. v. 19 (1985), no.1, 21-31.
Locally semisimple algebras. Combinatorial theory and the K₀-functor (with A.Vershik) (in Russian).: Itogi Nauki, Sovr. Probl. Mat., Novejsh. Dostizh., VINITI, v. 26 (1985), 3-56.; English translation: J. Sov. Math. v. 38 (1987) 1701-1733.
The characters of the infinite symmetric groups and probability properties of the Robinson-Schensted-Knuth algorithms (with A.M.Vershik) (in Russian).: SIAM J. Alg. Discr. Meth., v. 7 (1986) 116-124.
Combinatorics, the Bethe ansatz, and representations of the symmetric group (with A.Kirillov and N.Reshetikhin, in Russian).: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 155 (1986) 50-64.; English translation: J. Soviet Math., v. 41 (1988), 916-924.
Distribution of symmetry types of high rank tensors (in Russian).: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 155 (1986) 181-186.; English translation: J. Soviet Math., v. 41 (1988), 995-999.
Random Young tableaux (in Russian).: Teor. Ver. i Prilozh. v. 3 (1986) 627-628.
Realizations of *-representations of Hecke algebras, and the orthogonal Young form (in Russian).: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 161 (1987) 155-172.; English translation: J. Soviet Math., v. 46 (1989), 2148-215.
Realizations of representations of the Brauer semigroup (in Russian).: Zapiski Nauchn. Semin. LOMI, Leningrad, v. 164 (1987) 189-193.; English translation: J. Soviet Math., v. 47 (1989), 2503-2507.
Characters and realizations of representations of the infinite-dimensional Hecke algebra, and knot invariants (with A.Vershik) (in Russian).: Dokl. Akad. Nauk SSSR v. 301 (1988), no. 4,777--780.; English translation: Soviet Math. Dokl. v. 38 (1989), no. 1, 134--137
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AF-algebras of truncated Pascal triangles (with V.Volchegursky, in Russian).: In: Problems of Group Theory and Homological Algebra. Yaroslavl university, 1989, 29-37.
Combinatorial examples in the theory of AF-algebras (in Russian).: Zapiski. Nauchn. Semin. LOMI, v. 172 (1989) 55-67.; English translation: J. Soviet Math., v. 59 (1992), 1063-1071.
An algebra of invariants for the action of the group Sp(2m)on the algebra $\otimes$ M_2m C (in Russian).: Zapiski. Nauchn. Semin. LOMI, v. 172 (1989) 68-77.; English translation: J. Soviet Math., v. 59 (1992), 1072-1078.
Representations, maximal with respect to dimension, of symmetric groups (with A.Pass, in Russian).: Zapiski. Nauchn. Semin. LOMI, v. 172 (1989) 160-166.; English translation: J. Soviet Math., v. 59 (1992), 1131-1135.
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The Grothendieck group of the infinite symmetric group and symmetric functions (with the elements of the K₀-functor theory of AF-algebras) (with A.M.Vershik).: Adv. Stud. Contemp. Math., Gordon and Breach, v.7 (1990) 36-114.
Random processes with common cotransition probabilities (with O.Orevkova) (in Russian).: Zapiski. Nauchn. Semin. LOMI, v. 184 (1990) 169-181.; English translation: J. Math. Sciences, v. 68 (1994), 516-525.
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Hall-Littlewood functions and orthogonal polynomials (in Russian).: Funkts. Anal. i Prilozhen. v. 25 (1991) 78-81.; English translation: Functional Anal. Appl. 25 (1991), no. 1, 65--66
A q-analog of the hook walk algorithm for random Young tableaux.: University of Montreal, preprint CRM-1748, 1991.
Characters of Hecke and Birman-Wenzl algebras.: In: Quantum Groups, Proc. Workshops Euler Int. Math. Inst., Leningrad, USSR, Lect. Notes in Math., v.1510 (1991) 335-340.
Triangularity of transition matrices for generalized Hall-Littlewood polynomials.: In: Quantum Groups, Proc. Workshops Euler Int. Math. Inst., Leningrad, USSR, Lect. Notes in Math., v.1510 (1991) 389-390.
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Generalized Hall-Littlewood symmetric functions and orthogonal polynomials.: Advances in Sov. Math., v. 9 (1992) 67-94.
A q-analog of the hook walk algorithm and random Young tableaux (in Russian).: Funkts. Anal. i Prilozhen. v. 26 (1992) 35-45.; English translation: Functional Anal. Appl. 26 (1992), no. 3, 179--187.
Separation of roots of orthogonal polynomials and the limiting shape of generic large Young diagrams.: Trondheim Univ., Trondheim, Norway, Preprint no.8 (1992).
Combinatorics of rational representations of the group GL(n, C) (with A.N.Kirillov, in Russian).: Zapiski. Nauchn. Semin. POMI, v. 200 (1992) 83-90.; English translation: J. Math. Sci., v. 77 (1995), 3190-3194.
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Gaussian limit for the Plancherel measure of the symmetric group.: C. R. Acad. Sci. Paris, Série I, t.316 (1993) 303-308.; gZIPed PostScript
Harmonic analysis on the infinite symmetric group (with G.I.Olshanski and A.M.Vershik).: C. R. Acad. Sci. Paris, Série I, t.316 (1993) 773-778.; gZIPed PostScript
Asymptotics of the separation of roots of orthogonal polynomials (in Russian).: Algebra i Analiz, v. 5 (1993), No 5, 68-86.; English translation: St. Petersburg Math. J. v. 5 (1994), no. 5, 925--941; gZIPed PostScript
Transition probabilities of continual Young diagrams and Markov moment problem (in Russian).: Funkts. Anal. i Prilozhen., v. 27 , No 2 (1993) 32-49.; English translation: Funct. Anal. Appl. 27 (1993), no. 2, 104--117.; gZIPed PostScript
The Plancherel growth of Young diagrams and the asymptotics of interlacing sequences (in Russian).: Dokl. Akad. Nauk, v. 333 , 1 (1993) 8-10.; English translation: Russian Acad. Sci. Dokl. Math. 48 (1994), no. 3, 420--424.
The asymptotics of interlacing sequences and the growth of continual diagrams (in Russian).: Zapiski. Nauchn. Semin. POMI, v. 205 (1993) 21-29.; English translation: J. Math. Sci., v. 80 (1996), 1760-1767.
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Polynomial functions on the set of Young diagrams (with G.I.Olshanski): Comptes Rend. Acad. Sci. Paris, Série I, t.319 (1994) 121-126.
Asymptotics of large random Young diagrams.: In: Abstracts of 6th Conference on Formal Power Series and Algebraic Combinatorics, DIMACS (1994) 285-294.
Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis. D. Sci. thesis (in Russian): St. Petersburg Mathematical Society Preprints, 2001-04.; gZIPed PostScript; 2003 English translation
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A random subdivision process generates virtual permutations with the Ewens distribution (with N.V.Tsilevich, in Russian).: Zapiski. Nauchn. Semin. POMI, v.223 (1995) 162-180.; English translation: J. Math. Sci., v. 87 (1997), 4082-4093.
Subordinators and the permutation actions with quasi-invariant measure (in Russian).: Zapiski. Nauchn. Semin. POMI, v.223 (1995) 181-218.; English translation: J. Math. Sci., v. 87 (1997), 4094-4117.
Coherent allocations, and the Ewens -- Pitman formula.: Preprint POMI 21/1995, v.21 (1995) 1-15
Small cycles of big permutations.: Preprint POMI 22/1995, v.22 (1995) 1-9
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A differential model for the growth of Young diagrams (in Russian).: Proceedings of the St. Petersburg Mathematical Society, v.4 (1996), 165-192.; English translation: American Mathematical Society Translations -- Series 2, v. 188 (1998); gZIPed PostScript
The boundary of Young lattice and random Young tableaux.: In: DIMACS Series in Discrete Mathematics and Theoretical Computer Science, v.24 (1996) 133-158.; gZIPed PostScript
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Rook placements on Ferrers boards, and matrix integrals (in Russian).: Zapiski. Nauchn. Semin. POMI, v.240 (1997), 136-146.; PostScript; English translation: J. Math. Sci., v. 96 (1999), no.5, 3531-3536.
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Interlacing measures.: Amer. Math. Soc. Transl. (2) Vol.181, 1998, pp.35--83 (Advances in the Mathematical Sciences -- 35, G.I.Olshanski ed.); (=Preprint LaBRI 1116-96 (1996) 1-53, Université de Bordeaux-I.); Part 1 (gZIPed PostScript); Part 2 (gZIPed PostScript); Part 3 (gZIPed PostScript)
The boundary of the Young graph with Jack edge multiplicities (with A.Okounkov and G.Olshanskii).: Int. Math. Research Notices, 1998, No 4, p. 173--199.; (=math.QA/9703177; Preprint RIMS-1174 (1997) 1-32)
On an infinite-dimensional group over a finite field (with A.M.Vershik, in Russian): Funkts Analiz i Prilozhen, v.32, No 3 (1998) 3-10.; English translation: Funct. Anal. Appl. 32 (1998), no. 3, 147--152 (1999).; gZIPed PostScript
The Plancherel measure of the Young-Fibonacci graph (with A.Gnedin): Mathematical Proc. Cambridge Philosophical Society 129 (2000), pp. 433-446.; Preprint POMI 26/1998 pp.1-14; gZIPed PostScript
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The algebra of conjugacy classes in symmetric groups, and partial permutations (with V.Ivanov, in Russian).: Zapiski. Nauchn. Semin. POMI, v.256 (1999), 95-120.; English translation: J. Math. Sci. 107 (2001), no. 5, 4212-4230.; gZIPed PostScript
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Anisotropic Young diagrams and Jack symmetric functions.: Funkts. Analiz i Prilozh., v. 34, no. 1 (2000); (= Preprint POMI 24/1997.); Deposited at the archive math.CO/9712267
The Martin boundary of the Young-Fibonacci lattice (with F. Goodman).: J. Algebraic Combin. 11 (2000), no. 1, 17--48.; (= math.CO/9712266)
Equilibrium and orthogonal polynomials.: Algebra i Analiz, v. 12 (2000), no 6, 224--237.
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