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Volumn 223, Issue 3, 2001, Pages 627-672

A Fredholm determinant identity and the convergence of moments for random young tableaux

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EID: 0035540309     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100555     Document Type: Article
Times cited : (28)

References (37)
  • 3
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence of random permutations
    • 3. Baik, J., Deift, P. and Johansson, K.: On the distribution of the length of the longest increasing subsequence of random permutations. J. Am. Math. Soc. 12, (4), 1119-1178 (1999)
    • (1999) J. Am. Math. Soc. , vol.12 , Issue.4 , pp. 1119-1178
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 4
    • 0034365262 scopus 로고    scopus 로고
    • On the distribution of the length of the second row of a Young disgram under Plancherel measure
    • 4. Baik, J., Deift, P. and Johansson, K.: On the distribution of the length of the second row of a Young disgram under Plancherel measure. Geom. Funct. Anal. 10, 4, 702-731 (2000)
    • (2000) Geom. Funct. Anal. , vol.10 , Issue.4 , pp. 702-731
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 5
    • 0034360853 scopus 로고    scopus 로고
    • On a Toeplitz determinant identity of Borodin and Okounkov
    • 5. Basor, E. and Widom, H.: On a Toeplitz determinant identity of Borodin and Okounkov. Integral Equations Operator Theory 37, 4, 397-401 (2000)
    • (2000) Integral Equations Operator Theory , vol.37 , Issue.4 , pp. 397-401
    • Basor, E.1    Widom, H.2
  • 6
    • 84990617857 scopus 로고
    • Scattering and inverse scattering for first order systems
    • 6. Beals, R. and Coifman, R.: Scattering and inverse scattering for first order systems. Comm. Pure Appl. Math. 37, 39-90 (1984)
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 39-90
    • Beals, R.1    Coifman, R.2
  • 7
    • 0034360852 scopus 로고    scopus 로고
    • A Fredholm determinant formula for Toeplitz determinants
    • 7. Borodin, A. and Okounkov, A.: A Fredholm determinant formula for Toeplitz determinants. Integral Equations Operator Theory 37, 4, 386-396 (2000)
    • (2000) Integral Equations Operator Theory , vol.37 , Issue.4 , pp. 386-396
    • Borodin, A.1    Okounkov, A.2
  • 8
    • 0034390399 scopus 로고    scopus 로고
    • On asymptotics of Plancherel measures for symmetric groups
    • 8. Borodin, A., Okounkov, A. and Olshanski, G.: On asymptotics of Plancherel measures for symmetric groups. J. Am. Math. Soc. 13, (3), 481-515 (2000)
    • (2000) J. Am. Math. Soc. , vol.13 , Issue.3 , pp. 481-515
    • Borodin, A.1    Okounkov, A.2    Olshanski, G.3
  • 10
    • 0007229352 scopus 로고    scopus 로고
    • One more proof of the Borodin-Okounkov formula for Toeplitz determinants
    • 10. Böttcher, A.: One more proof of the Borodin-Okounkov formula for Toeplitz determinants. Integral Equations Operator Tehory 41, 1, 123-125 (2001)
    • (2001) Integral Equations Operator Tehory , vol.41 , Issue.1 , pp. 123-125
    • Böttcher, A.1
  • 13
    • 0033459230 scopus 로고    scopus 로고
    • Strong asymptotics of orthogonal polynomials with respect to exponential weights
    • 13. Deift, P., Kriecherbauer, T., McLaughlin, K., Venakides, K. and Zhou, X.: Strong asymptotics of orthogonal polynomials with respect to exponential weights. Comm. Pure Appl. Math. 52, (12), 1491-1552 (1999)
    • (1999) Comm. Pure Appl. Math. , vol.52 , Issue.12 , pp. 1491-1552
    • Deift, P.1    Kriecherbauer, T.2    McLaughlin, K.3    Venakides, K.4    Zhou, X.5
  • 14
    • 0033440723 scopus 로고    scopus 로고
    • Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
    • 14. Deift, P., Kriecherbauer, T., McLaughlin, K., Venakides, S. and Zhou, X.: Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math. 52, (11), 1335-1425 (1999)
    • (1999) Comm. Pure Appl. Math. , vol.52 , Issue.11 , pp. 1335-1425
    • Deift, P.1    Kriecherbauer, T.2    McLaughlin, K.3    Venakides, S.4    Zhou, X.5
  • 15
    • 1842665167 scopus 로고    scopus 로고
    • New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems
    • 15. Deift, P., Venakides, S. and Zhou, X.: New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems. Internat. Math. Res. Notices 6, 285-299 (1997)
    • (1997) Internat. Math. Res. Notices , vol.6 , pp. 285-299
    • Deift, P.1    Venakides, S.2    Zhou, X.3
  • 16
    • 0001525213 scopus 로고
    • A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
    • 16. Deift, P. and Zhou, X.: A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation. Ann. of Math. 137, 295-368 (1993)
    • (1993) Ann. of Math. , vol.137 , pp. 295-368
    • Deift, P.1    Zhou, X.2
  • 17
    • 84990647031 scopus 로고
    • Asymptotics for the Painlevé II equation
    • 17. Deift, P. and Zhou, X.: Asymptotics for the Painlevé II equation. Comm. Pure Appl. Math. 48, 277-337 (1995)
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 277-337
    • Deift, P.1    Zhou, X.2
  • 18
    • 0001348241 scopus 로고
    • On the solvability of Painlevé I, III and V
    • 18. Fokas, A., Mugan, U. and Zhou, X.: On the solvability of Painlevé I, III and V. Inverse Problems 8, 757-785 (1992)
    • (1992) Inverse Problems , vol.8 , pp. 757-785
    • Fokas, A.1    Mugan, U.2    Zhou, X.3
  • 19
    • 0003166713 scopus 로고
    • Symmetric functions and P-recursiveness
    • 19. Gessel, I.: Symmetric functions and P-recursiveness. J. Combin. Theory Ser. A 53, 257-285 (1990)
    • (1990) J. Combin. Theory Ser. A , vol.53 , pp. 257-285
    • Gessel, I.1
  • 20
    • 0035534219 scopus 로고    scopus 로고
    • Limit theorems for height fluctuations in a class of discrete space and time growth models
    • 20. Gravner, J., Tracy, C. and Widom, H.: Limit theorems for height fluctuations in a class of discrete space and time growth models. J. Statist. Phys. 102, 5-6, 1085-1132 (2001)
    • (2001) J. Statist. Phys. , vol.102 , Issue.5-6 , pp. 1085-1132
    • Gravner, J.1    Tracy, C.2    Widom, H.3
  • 21
    • 0001320728 scopus 로고
    • Differential equations for quantum correlation functions
    • 21. Its, A., Izergin, A., Korepin, V. and Slavnov, N.: Differential equations for quantum correlation functions. Internat. J. Modern Phys. B 4, (5), 1003-1037 (1990)
    • (1990) Internat. J. Modern Phys. B , vol.4 , Issue.5 , pp. 1003-1037
    • Its, A.1    Izergin, A.2    Korepin, V.3    Slavnov, N.4
  • 22
    • 0007225391 scopus 로고    scopus 로고
    • Random words, Toeplitz determinants and integrable systems. I
    • Random matrix models and their applications. Cambridge: CAmbridge Univ. Press
    • 22. Its, A., Tracy, C. and Widom, H.: Random words, Toeplitz determinants and integrable systems. I. In: Random matrix models and their applications. Math. Sci. Res. Inst. Publ. 40. Cambridge: CAmbridge Univ. Press. 2001, pp. 245-258
    • (2001) Math. Sci. Res. Inst. Publ. , vol.40 , pp. 245-258
    • Its, A.1    Tracy, C.2    Widom, H.3
  • 23
    • 0035873635 scopus 로고    scopus 로고
    • Random words, Toeplitz determinants and integrable systems. II
    • 23. Its, A., Tracy, C., and Widom, H.: Random words, Toeplitz determinants and integrable systems. II. Phys. D 152-153, 199-224 (2001)
    • (2001) Phys. D , vol.152-153 , pp. 199-224
    • Its, A.1    Tracy, C.2    Widom, H.3
  • 24
    • 0035626398 scopus 로고    scopus 로고
    • Discrete orthogonal polynomial ensembles and the Plancherel measure
    • 24. Johansson, K.: Discrete orthogonal polynomial ensembles and the Plancherel measure. Ann. of Math. 153, (1), 259-296 (2001)
    • (2001) Ann. of Math. , vol.153 , Issue.1 , pp. 259-296
    • Johansson, K.1
  • 25
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • 25. Johansson, K.: Shape fluctuations and random matrices. Commun. Math. Phys. 20, 2, 437-476 (2000)
    • (2000) Commun. Math. Phys. , vol.20 , Issue.2 , pp. 437-476
    • Johansson, K.1
  • 26
    • 0032219317 scopus 로고    scopus 로고
    • The longest increasing subsequence in a random permutation and a unitary random matrix model
    • 26. Johansson, K.: The longest increasing subsequence in a random permutation and a unitary random matrix model. Math. Res. Lett. 5, (1-2), 63-82 (1998)
    • (1998) Math. Res. Lett. , vol.5 , Issue.1-2 , pp. 63-82
    • Johansson, K.1
  • 29
    • 0346385960 scopus 로고    scopus 로고
    • Random matrices and random permutations
    • 29. Okounkov, A.: Random matrices and random permutations. Internat. Math. Res. Notices 20, 1043-1095 (2000)
    • (2000) Internat. Math. Res. Notices , vol.20 , pp. 1043-1095
    • Okounkov, A.1
  • 32
    • 10044262136 scopus 로고    scopus 로고
    • Increasing subsequences and the classical groups
    • 32. Rains, E.M.: Increasing subsequences and the classical groups. Electron. J. Combin. 5, (1), R12 (1998)
    • (1998) Electron. J. Combin. , vol.5 , Issue.1
    • Rains, E.M.1
  • 33
    • 0003335754 scopus 로고
    • Trace ideals and their applications
    • Cambridge, New York, NY: Lond. Math. Soc.
    • 33. Simon, B.: Trace ideals and their applications. Volume 35 of London Mathematical Society Lecture Note Series. Cambridge, New York, NY: Lond. Math. Soc., 1979
    • (1979) London Mathematical Society Lecture Note Series , vol.35
    • Simon, B.1
  • 34
    • 0001240437 scopus 로고
    • A Schensted algorithm for rim hook tableaux
    • 34. Stanton, D.W. and White, D.E.: A Schensted algorithm for rim hook tableaux. J. Combin. Theory Ser. A 40, 211-247 (1985)
    • (1985) J. Combin. Theory Ser. A , vol.40 , pp. 211-247
    • Stanton, D.W.1    White, D.E.2
  • 35
    • 0035634442 scopus 로고    scopus 로고
    • On the distribution of the lengths of the longest monotone subsequences in random words
    • 35. Tracy, C. and Widom, H.: On the distribution of the lengths of the longest monotone subsequences in random words. Probab. Theory Related Fields 119, 3, 350-380 (2001)
    • (2001) Probab. Theory Related Fields , vol.119 , Issue.3 , pp. 350-380
    • Tracy, C.1    Widom, H.2
  • 36
    • 27644532196 scopus 로고
    • Level-spacing distributions and the Airy kernel
    • 36. Tracy, C. and Widom, H.: Level-spacing distributions and the Airy kernel. Commun. Math. Phys. 159, 151-174 (1994)
    • (1994) Commun. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, C.1    Widom, H.2


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