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Volumn 113, Issue 3-4, 2003, Pages 595-610

Janossy Densities. I. Determinantal Ensembles

Author keywords

Janossy densities; Orthogonal polynomials; Random matrices; Riemann Hilbert problem

Indexed keywords


EID: 0347933064     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026025003309     Document Type: Article
Times cited : (41)

References (32)
  • 1
    • 0032576497 scopus 로고    scopus 로고
    • Biorthogonal ensembles
    • A. Borodin, Biorthogonal ensembles, Nucl. Phys. B 536:704-732 (1999).
    • (1999) Nucl. Phys. B , vol.536 , pp. 704-732
    • Borodin, A.1
  • 2
    • 0038209546 scopus 로고    scopus 로고
    • Discrete gap probabilities and discrete Painlevé equations
    • available at arXiv:math-ph/0111008
    • A. Borodin, Discrete gap probabilities and discrete Painlevé equations, to appear in Duke Math. J., available at arXiv:math-ph/0111008.
    • Duke Math. J.
    • Borodin, A.1
  • 3
    • 0037343481 scopus 로고    scopus 로고
    • Distribution of the first particle in discrete orthogonal polynomial ensembles
    • available at arXiv:math-ph/0204001
    • A. Borodin and D. Boyarchenko, Distribution of the first particle in discrete orthogonal polynomial ensembles, to appear in Commun. Math. Phys., available at arXiv:math-ph/0204001.
    • Commun. Math. Phys.
    • Borodin, A.1    Boyarchenko, D.2
  • 4
    • 0034349003 scopus 로고    scopus 로고
    • Distributions on partitions, point processes, and the hypergeometric kernel
    • A. Borodin and G. Olshanski, Distributions on partitions, point processes, and the hypergeometric kernel, Commun. Math. Phys. 211:335-358 (2000).
    • (2000) Commun. Math. Phys. , vol.211 , pp. 335-358
    • Borodin, A.1    Olshanski, G.2
  • 5
    • 0012593006 scopus 로고    scopus 로고
    • Z-measures on partitions, Robinson-Schensted-Knuth correspondence, and β= 2 random matrix ensembles, random matrix models and their applications
    • Cambridge Univ. Press, Cambridge
    • A. Borodin and G. Olshanski, Z-measures on partitions, Robinson-Schensted-Knuth correspondence, and β= 2 random matrix ensembles, random matrix models and their applications, pp. 71-94, Math. Sci. Res. Inst. Publ., 40 (Cambridge Univ. Press, Cambridge, 2001).
    • (2001) Math. Sci. Res. Inst. Publ. , vol.40 , pp. 71-94
    • Borodin, A.1    Olshanski, G.2
  • 6
    • 85030924807 scopus 로고    scopus 로고
    • Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
    • available at arXiv:math.RT/0109194
    • A. Borodin and G. Olshanski, Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes, to appear in Ann. Math., available at arXiv:math.RT/0109194.
    • Ann. Math.
    • Borodin, A.1    Olshanski, G.2
  • 7
    • 0036329601 scopus 로고    scopus 로고
    • Fredholm determinants, Jimbo-Miwa-Ueno τ-functions and representation theory
    • A. Borodin and P. Deift, Fredholm determinants, Jimbo-Miwa-Ueno τ-functions and representation theory, Commun. Pure Appl. Math. LV: 1160-1230 (2002).
    • (2002) Commun. Pure Appl. Math. , vol.54 , pp. 1160-1230
    • Borodin, A.1    Deift, P.2
  • 8
    • 0000112246 scopus 로고
    • Exponential ensembles for random matrices
    • B. V. Bronk, Exponential ensembles for random matrices, J. Math. Phys. 6:228-237 (1965).
    • (1965) J. Math. Phys. , vol.6 , pp. 228-237
    • Bronk, B.V.1
  • 9
    • 0003247674 scopus 로고
    • Factorization of matrix functions and singular integral operators
    • Birkhäuser-Verlag, Basel
    • K. Clancey and I. Gohberg, Factorization of matrix functions and singular integral operators, in Operator Theory 3 (Birkhäuser-Verlag, Basel, 1981).
    • (1981) Operator Theory , vol.3
    • Clancey, K.1    Gohberg, I.2
  • 10
    • 0003346458 scopus 로고    scopus 로고
    • Orthogonal polynomials and random matrices: A Riemann-Hilbert approach
    • New York
    • P. Deift, Orthogonal polynomials and random matrices: A Riemann-Hilbert approach, in Courant Lecture Notes in Mathematics, Vol. 3 (New York, 1999).
    • (1999) Courant Lecture Notes in Mathematics , vol.3
    • Deift, P.1
  • 11
    • 0001946143 scopus 로고    scopus 로고
    • Integrable operators. Differential operators and spectral theory
    • American Mathematical Society, Providence, R.I.
    • P. Deift, Integrable operators. Differential operators and spectral theory, in American Mathematical Society Translations, Series 2, Vol. 189 (American Mathematical Society, Providence, R.I., 1999), pp. 69-84.
    • (1999) American Mathematical Society Translations, Series 2 , vol.189 , pp. 69-84
    • Deift, P.1
  • 14
    • 0001021015 scopus 로고
    • An isomonodromy approach to the theory of two-dimensional quantum gravity
    • [in Russian]
    • A. S. Fokas, A. R. Its, and A. V. Kitaev, An isomonodromy approach to the theory of two-dimensional quantum gravity, Uspekhi Mat. Nauk. 45:135-136 (1990) [in Russian].
    • (1990) Uspekhi Mat. Nauk. , vol.45 , pp. 135-136
    • Fokas, A.S.1    Its, A.R.2    Kitaev, A.V.3
  • 15
    • 0000533283 scopus 로고
    • Discrete Painlevé equations and their appearance in quantum gravity
    • A. S. Fokas, A. R. Its, and A. V. Kitaev, Discrete Painlevé equations and their appearance in quantum gravity, Commun. Math. Phys. 142:313-344 (1991).
    • (1991) Commun. Math. Phys. , vol.142 , pp. 313-344
    • Fokas, A.S.1    Its, A.R.2    Kitaev, A.V.3
  • 16
    • 0000609652 scopus 로고
    • The spectrum edge of random matrix ensembles
    • P. J. Forrester, The spectrum edge of random matrix ensembles, Nucl. Phys. B 402:709-728 (1993).
    • (1993) Nucl. Phys. B , vol.402 , pp. 709-728
    • Forrester, P.J.1
  • 17
    • 21844481595 scopus 로고
    • Complex Wishart matrices and conductance in mesoscopic systems: Exact results
    • P. J. Forrester and T. D. Hughes, Complex Wishart matrices and conductance in mesoscopic systems: Exact results, J. Math. Phys. 35:6736-6747 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 6736-6747
    • Forrester, P.J.1    Hughes, T.D.2
  • 18
    • 0034340689 scopus 로고    scopus 로고
    • Shape fluctuations and random matrices
    • K. Johansson, Shape fluctuations and random matrices, Comm. Math. Phys. 209:437-476 (2000).
    • (2000) Comm. Math. Phys. , vol.209 , pp. 437-476
    • Johansson, K.1
  • 19
    • 0035626398 scopus 로고    scopus 로고
    • Discrete polynomial ensembles and the Plancherel measure
    • K. Johansson, Discrete polynomial ensembles and the Plancherel measure, Ann. Math. 153:259-296 (2001).
    • (2001) Ann. Math. , vol.153 , pp. 259-296
    • Johansson, K.1
  • 20
    • 0036628218 scopus 로고    scopus 로고
    • Non-intersecting paths, random tilings and random matrices
    • K. Johansson, Non-intersecting paths, random tilings and random matrices, Probab. Theory Related Fields 123:225-280 (2002).
    • (2002) Probab. Theory Related Fields , vol.123 , pp. 225-280
    • Johansson, K.1
  • 22
    • 21844518916 scopus 로고
    • Random matrix models with additional interactions
    • K. A. Muttalib, Random matrix models with additional interactions, J. Phys. A 285:L159 (1995).
    • (1995) J. Phys. A , vol.285
    • Muttalib, K.A.1
  • 24
    • 0008977728 scopus 로고
    • The quantum correlation function as the τ function of classical differential equations
    • A. S. Fokas and V. E. Zakharov, eds. (Springer-Verlag, Berlin)
    • A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov, The quantum correlation function as the τ function of classical differential equations, Important Developments in Soliton Theory, A. S. Fokas and V. E. Zakharov, eds. (Springer-Verlag, Berlin, 1993), pp. 407-417.
    • (1993) Important Developments in Soliton Theory , pp. 407-417
    • Its, A.R.1    Izergin, A.G.2    Korepin, V.E.3    Slavnov, N.A.4
  • 25
    • 21344490533 scopus 로고
    • Eigenvalue distribution of random matrices at the spectrum edge
    • T. Nagao and M. Wadati, Eigenvalue distribution of random matrices at the spectrum edge, J. Phys. Soc. Japan 62:3845-3856 (1993).
    • (1993) J. Phys. Soc. Japan , vol.62 , pp. 3845-3856
    • Nagao, T.1    Wadati, M.2
  • 27
    • 0034556390 scopus 로고    scopus 로고
    • Determinantal random point fields
    • A. Soshnikov, Determinantal random point fields, Russian Math. Surveys 55:923-975 (2000).
    • (2000) Russian Math. Surveys , vol.55 , pp. 923-975
    • Soshnikov, A.1
  • 28
    • 0346672420 scopus 로고    scopus 로고
    • Janossy densities. II. Pfaffian ensembles
    • A. Soshnikov, Janossy densities. II. Pfaffian ensembles, J. Stat. Phys. 113:611-622 (2003).
    • (2003) J. Stat. Phys. , vol.113 , pp. 611-622
    • Soshnikov, A.1
  • 29
    • 0342395256 scopus 로고
    • Level-spacing distributions and the Bessel kernel
    • C. A. Tracy and H. Widom, Level-spacing distributions and the Bessel kernel, Commun. Math. Phys. 161:289-309 (1994).
    • (1994) Commun. Math. Phys. , vol.161 , pp. 289-309
    • Tracy, C.A.1    Widom, H.2
  • 30
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions, and spacing distributions for random matrices
    • C. A. Tracy and H. Widom, Correlation functions, cluster functions, and spacing distributions for random matrices, J. Stat. Phys. 92:809-835 (1998).
    • (1998) J. Stat. Phys. , vol.92 , pp. 809-835
    • Tracy, C.A.1    Widom, H.2
  • 31
    • 0033074163 scopus 로고    scopus 로고
    • On the relation between orthogonal, symplectic, and unitary matrix ensembles
    • H. Widom, On the relation between orthogonal, symplectic, and unitary matrix ensembles, J. Stat. Phys. 94:347-363 (1999).
    • (1999) J. Stat. Phys. , vol.94 , pp. 347-363
    • Widom, H.1


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