Publications by Sergei Kerov

  • 1974 - 1983
  • 1984 - 1988
  • 1989 papers
  • 1990 papers
  • 1991 papers
  • 1992 papers
  • 1993 papers
  • 1994 papers
  • 1995 papers
  • 1996 papers
  • 1997 papers
  • 1998 papers
  • 1999 papers
    •

    1974 - 1983 papers

    Double function algebras on a finite group (in Russian).
    Zapiski Nauchn. Seminarov LOMI, v.39 (1974) 182-185.
    Duality of finite dimensional $*$-algebras (in Russian).
    Vestnik LGU, Math. ser., v.7 (1974) 23-29.
    Asymptotics of the Plancherel measure of the symmetric group
    and the limiting form of Young tableaux (with A.M.Vershik).
    Soviet Math. Dokl. v.18 (1977) 527-531.
    Characters, factor-representations and K-functor of the infinite symmetric group
    (with A.M.Vershik).
    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).
    Soviet Math. Dokl., v.23 (1981) No.2, 389-392.
    Asymptotic theory of characters of the symmetric group
    (with A.M.Vershik).
    Funct. Anal. and its Appl., v.15 (1981) 246-255.
    Characters and factor-representations of the infinite unitary group
    (with A. M. Vershik).
    Soviet Math. Dokl., v.26 (1982) No.3.
    On polynomial dimension groups (in Russian).
    In: Operator Theory and Function Theory, Leningrad, No.1 (1983) 185-194.
    Asymptotics of the largest and the typical dimensions of irreducible representations of a symmetric group (with A.Vershik).
    Problems in Global Differential Geometry, Leningrad, LGPI, 1983, 60-66.
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    1984 - 1988 papers

    Robinson-Schensted-Knuth correspondence and Littlewood-Richardson rule.
    Russian Math. Surveys, v.39 (1984) 165-166.
    The K-functor (Grothendieck group) of the infinite symmetric group
    (with A. M. Vershik).
    J. Sov. Math., v.28 (1985) 549-568.
    W-graphs of representations of symmetric groups.
    J. Sov. Math., v.28 (1985) 596-605.
    Experiments in calculating the dimension of a typical representation
    of the symmetric group (with A.Vershik and A.Gribov).
    J.Sov.Math. v.28 (1985) 568-570.
    The Characters of the Infinite Symmetric Groups and Probability Properties of the Robinson-Schensted-Knuth Algorithms
    (with A.M.Vershik).
    Funct. Anal. and its Appl. v.19 (1985) 21-31.
    Isomorphisms of rings constructed by simplicial complexes
    (with A. Karp).
    SIAM J. Alg. Discr. Meth., v.7 (1986) 116-124.
    Combinatorics, 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.
    Distribution of types of symmetry of tensors of high degree (in Russian).
    Zapiski Nauchn. Semin. LOMI, Leningrad, v.155 (1986) 181-186.
    Random Young Tableaux (in Russian).
    Teor. Ver. i Prilozh. v.3 (1986) 627-628.
    Locally Semisimple Algebras. Combinatorial theory and the $K_0$-Functor
    (with A.Vershik).
    J. Sov. Math. v.38 (1987) 1701-1733.
    Realizations of $*$-representations of Hecke algebras, and Young's orthogonal form.
    Zapiski Nauchn. Semin. LOMI, Leningrad, v.161 (1987) 155-172.
    Realizations of representations of Brauer semigroup.
    Zapiski Nauchn. Semin. LOMI, Leningrad, v.164 (1987) 189-193.
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    1989 papers

    Characters and realizations of representations of infinite dimensional
    Hecke algebra, and knot invariants
    (with A.Vershik).
    Sov. Math. Dokl. v.38 (1989) 134-137.
    AF-algebras of truncated Pascal's triangles (with V.Volchegursky, in Russian).
    In: Problems of Group Theory and Homological Algebra. Yaroslavl university, 1989, 29-37.
    Combinatorial examples in AF-algebra theory (in Russian).
    Zapiski. Nauchn. Semin. LOMI, v.172 (1989) 55-67.
    Algebra of invariants for the action of the group $Sp(2m)$
    on the algebra $\otimes M_{2m{\Bbb C$
    (in Russian).
    Zapiski. Nauchn. Semin. LOMI, v.172 (1989) 68-77.
    Maximal dimensions of symmetric group representations (with A.Pass, in Russian).
    Zapiski. Nauchn. Semin. LOMI, v.172 (1989) 160-166.
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    1990 papers

    The Grothendieck Group of the Infinite Symmetric Group and Symmetric Functions
    with the Elements of the $K_0$-functor theory of AF-algebras
    (with A.M.Vershik).
    Adv. Stud. Contemp. Math., Gordon and Breach, v.7 (1990) 36-114.
    Random Processes with Mutual Cotransition Probabilities (in Russian, with O.Orevkova).
    Zapiski. Nauchn. Semin. LOMI, v.184 (1990) 169-181.
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    1991 papers

    Hall-Littlewood Functions and Orthogonal Polynomials
    (in Russian).
    Funct. Anal. and its Appl. v.25 (1991) 78-81.
    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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    1992 papers

    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.
    Funct. Anal. and its Appl., v.26 (1992) 35-45.
    Separation of Roots of Orthogonal Polynomials and the Limiting Shape of Generic Large Young Diagrams.
    Trondheim Univ., Trondheim, Norway, Preprint No.8 (1992) 1-23.
    Combinatorial properties of rational representations of the group $GL(n,\Bbb C)$
    (with A.N.Kirillov, in Russian).
    Zapiski. Nauchn. Semin. POMI, v.200 (1992) 83-90.
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    1993 papers

    Gaussian Limit for the Plancherel Measure of the Symmetric Group.
    Comptes Rend. Acad. Sci. Paris, S\'erie I, t.316 (1993) 303-308.
    gZIPed PostScript
    Harmonic Analysis on the Infinite Symmetric Group
    (with G.I.Olshanski and A.M.Vershik).
    Comptes Rend. Acad. Sci. Paris, S\'erie I, t.316 (1993) 773-778.
    gZIPed PostScript
    Asymptotic Separation of Roots of Orthogonal Polynomials
    Algebra and Analysis, SPb, v.5 , No 5 (1993) 68-86.
    gZIPed PostScript
    Transition Probabilities of Continuous Young Diagrams and Markov' Moment Problems
    Functional Analysis and its Applications, v.27 , No 2 (1993) 32-49.
    gZIPed PostScript
    The Plancherel' Growth of Young Diagrams and the Asymptotics of Interlacing Sequences
    (in Russian).
    Russian Math. Dokl., v.333 , 1 (1993) 8-10.
    The Asymptotics of Interlacing Sequences and the Growth of Continuous Diagrams
    (in Russian).
    Differential geometry, Lie groups and mechanics -- 13. Zapiski. Nauchn. Semin. POMI, v.205 (1993) 21-29.
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    1994 papers

    Polynomial functions on the set of Young diagrams
    (with G.I.Olshanski)
    Comptes Rend. Acad. Sci. Paris, S\'erie 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.
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    1995 papers

    Stick breaking process generates virtual permutations with Ewens distribution
    (with N.V.Tsilevich).
    Zapiski. Nauchn. Semin. POMI, v.223 (1995) 162-180.
    Subordinators, and permutations acting with quasi-invariant measure.
    Zapiski. Nauchn. Semin. POMI, v.223 (1995) 181-218.
    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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    1996 papers

    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
    Interlacing Measures.
    Preprint LaBRI 1116-96 (1996) 1-53, Universit\'e de Bordeaux-I.

            Amer. Math. Soc. Transl. (2) Vol.181, 1998, pp.35--83
            (Advances in the Mathematical Sciences -- 35, G.I.Olshanski ed.)
    Part 1 (gZIPed PostScript)
    Part 2 (gZIPed PostScript)
    Part 3 (gZIPed PostScript)
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    1997 papers

    Rooks on Ferrers Boards and Matrix Integrals.
    Zapiski. Nauchn. Semin. POMI, v.240 (1997) 136-146. PostScript
    The Boundary of Young Graph with Jack Edge Multiplicities
    (with A.Okounkov and G.Olshanskii).
    Deposited at the archive math.QA/9703177;
    Preprint RIMS-1174 (1997) 1-32
    Int. Math. Research Notices, 1998, No 4, p. 173--199.
    The Martin Boundary of the Young-Fibonacci Lattice (with F. Goodman).
    Deposited at the archive math.CO/9712266
    Accepted by J.Alg.Combinatorics.
    Anisotropic Young Diagrams and Jack Symmetric Functions
    Preprint POMI 24/1997.
    Deposited at the archive math.CO/9712267
    Accepted by Functional Analysis and its Applications.
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    1998 papers

    The Markov-Krein correspondence in several dimensions
    (with N.V.Tsilevich).
    Preprint POMI 1/1998 pp.1-19.
    On an infinite-dimensional group over a finite field.
    (with A.M.Vershik)
    Functional Analysis and its Applications, v.32, No 3 (1998) 3-10.
    gZIPed PostScript
    The Plancherel Measure of the Young-Fibonacci Graph
    (with A.Gnedin)
    Preprint POMI 26/1998 pp.1-14; gZIPed PostScript
    A Characterization of GEM Distributions
    (with A.Gnedin)
    Preprint POMI 13/1999 pp.1-5; gZIPed PostScript
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    1999 papers

    A Differential Model for the Growth of Young Diagrams (in Russian).
    Proceedings of St.Petersburg Mathematical Society, v.4 (1999) 165-192.
    gZIPed PostScript
    The Algebra of Conjugacy Classes in Symmetric Groups, and Partial Permutations
    (with V.Ivanov).
    Zapiski. Nauchn. Semin. POMI, v.256 (1999) 95-120
    gZIPed PostScript
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