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Volumn 30, Issue 2, 1996, Pages 90-105

Statistical mechanics of combinatorial partitions, and their limit shapes

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EID: 2342649382     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02509449     Document Type: Article
Times cited : (236)

References (21)
  • 1
    • 0009137614 scopus 로고
    • Asymptotic Combinatorics and Algebraic Analysis
    • Birkhäuser, Zurich
    • A. M. Vershik, Asymptotic Combinatorics and Algebraic Analysis, Proceedings of ICM, Vol. 2, Birkhäuser, Zurich (1995).
    • (1995) Proceedings of ICM , vol.2
    • Vershik, A.M.1
  • 2
    • 84990663493 scopus 로고
    • Limit theorems for combinatorial structures
    • R. Arratia and S. Tavare, "Limit theorems for combinatorial structures," Rand. Structure Alg., 3, 321-345 (1992).
    • (1992) Rand. Structure Alg. , vol.3 , pp. 321-345
    • Arratia, R.1    Tavare, S.2
  • 3
    • 84968513059 scopus 로고
    • The structure of random partitions of large integers
    • B. Fristedt, "The structure of random partitions of large integers," Trans. Am. Math. Soc., 337, 703-735 (1993).
    • (1993) Trans. Am. Math. Soc. , vol.337 , pp. 703-735
    • Fristedt, B.1
  • 4
    • 84990663423 scopus 로고
    • Brownian bridge asymptotics for random mappings
    • J. Pimtan and R. Aldous, "Brownian bridge asymptotics for random mappings," Rand. Structure Alg., 5, 487-512 (1994).
    • (1994) Rand. Structure Alg. , vol.5 , pp. 487-512
    • Pimtan, J.1    Aldous, R.2
  • 5
    • 0003527974 scopus 로고
    • John Wiley & Sons, New York-London
    • K. Huang, Statistical Mechanics, John Wiley & Sons, New York-London (1963).
    • (1963) Statistical Mechanics
    • Huang, K.1
  • 8
    • 0009402514 scopus 로고
    • The limit form of convex integral polygons and related questions
    • A. M. Vershik, "The limit form of convex integral polygons and related questions," Funkts. Anal. Prilozhen., 28, No. 1, 17-25 (1994).
    • (1994) Funkts. Anal. Prilozhen. , vol.28 , Issue.1 , pp. 17-25
    • Vershik, A.M.1
  • 9
    • 51249167314 scopus 로고
    • The limit shape of convex lattice polygons
    • I. Barany, "The limit shape of convex lattice polygons," Discrete Comput. Geom., 13, 279-295 (1995).
    • (1995) Discrete Comput. Geom. , vol.13 , pp. 279-295
    • Barany, I.1
  • 10
    • 0009452592 scopus 로고
    • A probabilistic approach to the analysis of the statistics of convex polygonal lines
    • Ya. G. Sinai, "A probabilistic approach to the analysis of the statistics of convex polygonal lines," Funkts. Anal. Prilozhen., 28, No. 2, 41-48 (1994).
    • (1994) Funkts. Anal. Prilozhen. , vol.28 , Issue.2 , pp. 41-48
    • Sinai, Ya.G.1
  • 11
    • 85192668399 scopus 로고    scopus 로고
    • Statistics of the set of naturals partitions
    • VNU Sci. Press
    • A. M. Vershik, "Statistics of the set of naturals partitions," in: Probab. Theory Math. Stat., Vol. 2, 683-694, VNU Sci. Press.
    • Probab. Theory Math. Stat. , vol.2 , pp. 683-694
    • Vershik, A.M.1
  • 12
    • 27544488047 scopus 로고
    • Asymptotics of random partitions of a set
    • Yu. Yakubovich, "Asymptotics of random partitions of a set," Zap. Nauchn. Semin. POMI, 223, 227-250 (1995).
    • (1995) Zap. Nauchn. Semin. POMI , vol.223 , pp. 227-250
    • Yakubovich, Yu.1
  • 15
    • 0000664359 scopus 로고
    • On some problems of statistical theory of partitions. I
    • M. Szalay and R. Turan, "On some problems of statistical theory of partitions. I," Acta Math. Acad. Sci. Hungr., 29, 361-379 (1977).
    • (1977) Acta Math. Acad. Sci. Hungr. , vol.29 , pp. 361-379
    • Szalay, M.1    Turan, R.2
  • 16
    • 0040670945 scopus 로고
    • Asymptotics of maximal and typical dimensionality of irreducible partitions of the symmetric group
    • A. M. Vershik and S. V. Kerov, "Asymptotics of maximal and typical dimensionality of irreducible partitions of the symmetric group," Funkts. Anal. Prilozhen., 19, No. 1, 25-36 (1985).
    • (1985) Funkts. Anal. Prilozhen. , vol.19 , Issue.1 , pp. 25-36
    • Vershik, A.M.1    Kerov, S.V.2
  • 18
    • 0002584967 scopus 로고
    • Limit measures arising in the asymptotic theory of symmetric groups
    • A. M. Vershik and A. A. Shmidt, "Limit measures arising in the asymptotic theory of symmetric groups," Teor. Veroyatn. Primenen., 22, No. 1, 72-88 (1978);
    • (1978) Teor. Veroyatn. Primenen. , vol.22 , Issue.1 , pp. 72-88
    • Vershik, A.M.1    Shmidt, A.A.2
  • 20
    • 0039703332 scopus 로고
    • Statistical sum related to Young diagrams
    • A. M. Vershik, "Statistical sum related to Young diagrams," Zap. Nauchn. Sem. LOMI, 164, 20-29 (1987);
    • (1987) Zap. Nauchn. Sem. LOMI , vol.164 , pp. 20-29
    • Vershik, A.M.1
  • 21
    • 27544446554 scopus 로고
    • English transl. in J. Soviet Math., 47, 2379-2386 (1989).
    • (1989) J. Soviet Math. , vol.47 , pp. 2379-2386


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.