-
1
-
-
21844516576
-
Correlations in two-component log-gas systems
-
[AF]
-
[AF] A. ALASTUEY and P. J. FORRESTER, Correlations in two-component log-gas systems, J. Statist. Phys. 81 (1995), 579-627.
-
(1995)
J. Statist. Phys.
, vol.81
, pp. 579-627
-
-
Alastuey, A.1
Forrester, P.J.2
-
2
-
-
0001929478
-
An integral of Ramanujan and orthogonal polynomials
-
[As]
-
[As] R. ASKEY, An integral of Ramanujan and orthogonal polynomials, J. Indian Math. Soc. 51 (1987), 27-36.
-
(1987)
J. Indian Math. Soc.
, vol.51
, pp. 27-36
-
-
Askey, R.1
-
3
-
-
0033443150
-
On the distribution of the length of the longest increasing subsequence of random permutations
-
[BDJ]; math/9810105.
-
[BDJ] J. Baik, P. Deift, and K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations, J. Amer. Math. Soc. 12 (1999), 1119-1178; math/9810105.
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 1119-1178
-
-
Baik, J.1
Deift, P.2
Johansson, K.3
-
5
-
-
84990617857
-
Scattering and inverse scattering for first order systems
-
[BC]
-
[BC] R. BEALS and R. R. COIFMAN, Scattering and inverse scattering for first order systems Comm. Pure Appl. Math. 37 (1984), 39-90.
-
(1984)
Comm. Pure Appl. Math.
, vol.37
, pp. 39-90
-
-
Beals, R.1
Coifman, R.R.2
-
6
-
-
30444438440
-
-
[BDT], A. M. S., Providence, RI
-
[BDT] R. BEALS, P. DEIFT, and C. TOMEI, Direct and Inverse Scattering on the Line, Mathematical Surveys and Monographs 28, A. M. S., Providence, RI, 1988.
-
(1988)
Direct and Inverse Scattering on the Line, Mathematical Surveys and Monographs
, vol.28
-
-
Beals, R.1
Deift, P.2
Tomei, C.3
-
7
-
-
0348014381
-
Characters of symmetric groups and correlation functions of point processes
-
[B1]
-
[B1] A. BORODIN, Characters of symmetric groups and correlation functions of point processes, Funct. Anal. Appl. 34 (2000), 10-23.
-
(2000)
Funct. Anal. Appl.
, vol.34
, pp. 10-23
-
-
Borodin, A.1
-
8
-
-
0037727539
-
Harmonic analysis on the infinite symmetric group, and the Whittaker kernel
-
[B2]
-
[B2] _, Harmonic analysis on the infinite symmetric group, and the Whittaker kernel, St. Petersburg Math. J. 12 (2001), 733-759.
-
(2001)
St. Petersburg Math. J.
, vol.12
, pp. 733-759
-
-
-
9
-
-
0346737796
-
Riemann-Hilbert problem and the discrete Bessel kernel
-
[B3]; math/9912093
-
[B3] _, Riemann-Hilbert problem and the discrete Bessel kernel, Internat. Math. Res. Notices 2000, no. 9, 467-494; math/9912093.
-
(2000)
Internat. Math. Res. Notices
, vol.9
, pp. 467-494
-
-
-
10
-
-
0032576497
-
Biorthogonal ensembles
-
[B4]; math/9804027
-
[B4] _, Biorthogonal ensembles, Nuclear Phys. B 536 (1998), 704-732; math/9804027.
-
(1998)
Nuclear Phys. B
, vol.536
, pp. 704-732
-
-
-
11
-
-
0036390386
-
Duality of orthogonal polynomials on a finite set
-
[B5]; math/0101125
-
[B5] _, Duality of orthogonal polynomials on a finite set J. Statist. Phys. 109 (2002), 1109-1120; math/0101125.
-
(2002)
J. Statist. Phys.
, vol.109
, pp. 1109-1120
-
-
-
12
-
-
0036329601
-
Fredholm determinants, Jimbo-Miwa-Ueno τ-functions, and representation theory
-
[BD]; math/0111007
-
[BD] A. BORODIN and P. DEIFT, Fredholm determinants, Jimbo-Miwa-Ueno τ-functions, and representation theory, Comm. Pure Appl. Math. 55 (2002), 1160-1230; math/0111007.
-
(2002)
Comm. Pure Appl. Math.
, vol.55
, pp. 1160-1230
-
-
Borodin, A.1
Deift, P.2
-
13
-
-
0034390399
-
Asymptotics of Plancherel measures for symmetric groups
-
[BOO]; math/9905032
-
[BOO] A. BORODIN, A. OKOUNKOV, and G. OLSHANSKI, Asymptotics of Plancherel measures for symmetric groups, J. Amer. Math. Soc. 13 (2000), 481-515; math/9905032.
-
(2000)
J. Amer. Math. Soc.
, vol.13
, pp. 481-515
-
-
Borodin, A.1
Okounkov, A.2
Olshanski, G.3
-
14
-
-
0032216968
-
Point processes and the infinite symmetric group
-
[BO1]; math/9810015
-
[BO1] A. BORODIN and G. OLSHANSKI, Point processes and the infinite symmetric group, Math. Res. Lett. 5 (1998), 799-816; math/9810015.
-
(1998)
Math. Res. Lett.
, vol.5
, pp. 799-816
-
-
Borodin, A.1
Olshanski, G.2
-
15
-
-
0034349003
-
Distributions on partitions, point processes and the hypergeometric kernel
-
[BO2]; math/9904010
-
[BO2] _, Distributions on partitions, point processes and the hypergeometric kernel, Comm. Math. Phys. 211 (2000), 335-358; math/9904010.
-
(2000)
Comm. Math. Phys.
, vol.211
, pp. 335-358
-
-
-
16
-
-
0012593006
-
Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and β = 2 random matrix ensembles
-
[BO3], Random Matrix Models and Their Applications (P. M. Bleher and A. R. Its, eds.),math/9905189
-
[BO3] _, z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and β = 2 random matrix ensembles, in Random Matrix Models and Their Applications (P. M. Bleher and A. R. Its, eds.), Math. Sci. Res. Inst. Publ. 40 (2001), 71-94; math/9905189.
-
(2001)
Math. Sci. Res. Inst. Publ.
, vol.40
, pp. 71-94
-
-
-
17
-
-
0035537377
-
Infinite random matrices and ergodic measures
-
[BO4]; math-ph/0010015
-
[BO4] _, Infinite random matrices and ergodic measures Comm. Math. Phys. 203 (2001), 87-123; math-ph/0010015.
-
(2001)
Comm. Math. Phys.
, vol.203
, pp. 87-123
-
-
-
18
-
-
0010961303
-
Infinite traces of AF-algebras and characters of U(∞)
-
[Boy]
-
[Boy] R. P. BOYER, Infinite traces of AF-algebras and characters of U(∞), J. Operator Theory 9 (1983), 205-236.
-
(1983)
J. Operator Theory
, vol.9
, pp. 205-236
-
-
Boyer, R.P.1
-
19
-
-
0002720913
-
On the two-dimensional Coulomb gas
-
[CJ1]
-
[CJ1] F. CORNU and B. JANCOVICI, On the two-dimensional Coulomb gas, J. Statist. Phys. 49 (1987), 33-56.
-
(1987)
J. Statist. Phys.
, vol.49
, pp. 33-56
-
-
Cornu, F.1
Jancovici, B.2
-
20
-
-
0001305432
-
The electrical double layer: A solvable model
-
[CJ2]
-
[CJ2] _, The electrical double layer: a solvable model J. Chem. Phys. 90 (1989), 2444.
-
(1989)
J. Chem. Phys.
, vol.90
, pp. 2444
-
-
-
21
-
-
0003508387
-
-
[DVJ], Springer-Verlag, New York
-
[DVJ] D. J. DALEY and D. VERE-JONES, An Introduction to the Theory of Point Processes, Springer Series in Statistics, Springer-Verlag, New York, 1988.
-
(1988)
An Introduction to the Theory of Point Processes, Springer Series in Statistics
-
-
Daley, D.J.1
Vere-Jones, D.2
-
22
-
-
0001946143
-
Integrable operators
-
[De], Differential Operators and Spectral Theory: M. Sh. Birman's 70th anniversary collection, V. Buslaev, M. Solomyak, and D. Yafaev, eds., A. M. S., Providence, RI
-
[De] P. DEIFT, Integrable operators, in Differential Operators and Spectral Theory: M. Sh. Birman's 70th anniversary collection, V. Buslaev, M. Solomyak, and D. Yafaev, eds., Amer. Math. Soc. Transl. 189 A. M. S., Providence, RI, 1999.
-
(1999)
Amer. Math. Soc. Transl.
, vol.189
-
-
Deift, P.1
-
23
-
-
35549006412
-
Statistical theory of the energy levels of complex systems. I, II, III
-
[Dy]
-
[Dy] F. J. DYSON, Statistical theory of the energy levels of complex systems. I, II, III, J. Mathematical Phys. 3 (1962), 140-156, 157-165, 166-175.
-
(1962)
J. Mathematical Phys.
, vol.3
, pp. 140-156
-
-
Dyson, F.J.1
-
24
-
-
84966224610
-
On the generating function of a doubly-infinite, totally positive sequence
-
[Ed]
-
[Ed] A. EDREI, On the generating function of a doubly-infinite, totally positive sequence, Trans. Amer. Math. Soc. 74 (1953), 367-383.
-
(1953)
Trans. Amer. Math. Soc.
, vol.74
, pp. 367-383
-
-
Edrei, A.1
-
25
-
-
0008473958
-
-
[Er] Mc Graw-Hill Book Co., Inc., New York
-
[Er] A. ERDELYI (ED.), Higher Transcendental Functions, Vols, 1, 2 Mc Graw-Hill Book Co., Inc., New York, 1953.
-
(1953)
Higher Transcendental Functions
, vol.1-2
-
-
Erdelyi, A.1
-
26
-
-
0002377230
-
Positive and negative charged rods alternating along a line: Exact results
-
[F1]
-
[F1] P. J. FORRESTER, Positive and negative charged rods alternating along a line: exact results, J. Statist. Phys. 45 (1986), 153-169.
-
(1986)
J. Statist. Phys.
, vol.45
, pp. 153-169
-
-
Forrester, P.J.1
-
27
-
-
0000443356
-
Solvable isotherms for a two-component system of charged rods on a line
-
[F2]
-
[F2] _, Solvable isotherms for a two-component system of charged rods on a line, J. Statist. Phys. 51 (1988), 457-479.
-
(1988)
J. Statist. Phys.
, vol.51
, pp. 457-479
-
-
-
28
-
-
0002100322
-
Exact results for correlations in a two-component log-gas
-
[F3]
-
[F3] _, Exact results for correlations in a two-component log-gas, J. Statist. Phys. 54 (1989), 57-79.
-
(1989)
J. Statist. Phys.
, vol.54
, pp. 57-79
-
-
-
29
-
-
0022101562
-
L'isotherme critique d'un plasma sur réseau (β = 2, d = 2, n = 2)
-
[G]
-
[G] M. GAUDIN, L'isotherme critique d'un plasma sur réseau (β = 2, d = 2, n = 2), J. Physique 46 (1985), 1027-1042.
-
(1985)
J. Physique
, vol.46
, pp. 1027-1042
-
-
Gaudin, M.1
-
31
-
-
0001320728
-
Differential equations for quantum correlation functions
-
[IIKS]
-
[IIKS] A. R. ITS, A. G. IZERGIN, V. E. KOREPIN, and N. A. SLAVNOV, Differential equations for quantum correlation functions, Internat. J. Modern Phys. B 4 (1990), 1003-1037.
-
(1990)
Internat. J. Modern Phys. B
, vol.4
, pp. 1003-1037
-
-
Its, A.R.1
Izergin, A.G.2
Korepin, V.E.3
Slavnov, N.A.4
-
32
-
-
0035626398
-
Discrete orthogonal polynomial ensembles and the Plancherel measure
-
[J]; math/9906120
-
[J] K. JOHANSSON, Discrete orthogonal polynomial ensembles and the Plancherel measure, Ann. of Math. 153 (2001), 259-296; math/9906120.
-
(2001)
Ann. of Math.
, vol.153
, pp. 259-296
-
-
Johansson, K.1
-
33
-
-
30444442190
-
A multidimensional hypergeometric distribution and characters of the unitary group
-
[Ke] Russian
-
[Ke] S. V. KEROV, A multidimensional hypergeometric distribution and characters of the unitary group, Zapiski Nauchn. Semin. POMI 31 (2003), 35-91 (Russian);
-
(2003)
Zapiski Nauchn. Semin. POMI
, vol.31
, pp. 35-91
-
-
Kerov, S.V.1
-
34
-
-
30444443525
-
-
English translation to appear in (New York)
-
English translation to appear in J. Math. Sciences (New York).
-
J. Math. Sciences
-
-
-
36
-
-
0001656032
-
Harmonic analysis on the infinite symmetric group. A deformation of the regular representation
-
[KOV]
-
[KOV] S. KEROV, G. OLSHANSKI, and A. VERSHIK, Harmonic analysis on the infinite symmetric group. A deformation of the regular representation, C. R. Acad. Sci. Paris, Sér. I 316 (1993), 773-778;
-
(1993)
C. R. Acad. Sci. Paris, Sér. I
, vol.316
, pp. 773-778
-
-
Kerov, S.1
Olshanski, G.2
Vershik, A.3
-
37
-
-
11144268918
-
-
detailed version in Invent. Math. 158 (2004), 551-642.
-
(2004)
Invent. Math.
, vol.158
, pp. 551-642
-
-
-
38
-
-
0004140790
-
-
[KBI], Cambridge Univ. Press, Cambridge, UK
-
[KBI] V. E. KOREPIN, N. M. BOGOLIUBOV, and A. G. IZERGIN, Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge, UK, 1993.
-
(1993)
Quantum Inverse Scattering Method and Correlation Functions
-
-
Korepin, V.E.1
Bogoliubov, N.M.2
Izergin, A.G.3
-
39
-
-
0002516103
-
Correlation functions and the uniqueness of the state in classical statistical mechanics
-
[Len]
-
[Len] A. LENARD, Correlation functions and the uniqueness of the state in classical statistical mechanics, Comm. Math. Phys. 30 (1973), 35-44.
-
(1973)
Comm. Math. Phys.
, vol.30
, pp. 35-44
-
-
Lenard, A.1
-
40
-
-
84994184315
-
Unendliche und endliche Orthogonalsysteme von Continuous Hahnpolynomen
-
[Les1]
-
[Les1] P. A. LESKY, Unendliche und endliche Orthogonalsysteme von Continuous Hahnpolynomen, Results Math. 31 (1997), 127-135.
-
(1997)
Results Math.
, vol.31
, pp. 127-135
-
-
Lesky, P.A.1
-
42
-
-
0004163930
-
-
[Me], Academic Press, Boston, MA
-
[Me] M. L. MEHTA, Random Matrices, 2nd edition, Academic Press, Boston, MA, 1991.
-
(1991)
Random Matrices, 2nd Edition
-
-
Mehta, M.L.1
-
44
-
-
0000817750
-
Correlation functions of random matrix ensembles related to classical orthogonal polynomials
-
[NW]
-
[NW] T. NAGAO and M. WADATI, Correlation functions of random matrix ensembles related to classical orthogonal polynomials, J. Phys. Soc. Japan 60 (1991), 3298-3322.
-
(1991)
J. Phys. Soc. Japan
, vol.60
, pp. 3298-3322
-
-
Nagao, T.1
Wadati, M.2
-
45
-
-
0037104083
-
Hua type integrals over unitary groups and over projective limits of unitary groups
-
[Ner]
-
[Ner] YU. A. NERETIN, Hua type integrals over unitary groups and over projective limits of unitary groups, Duke Math. J. 114 (2002), 239-266.
-
(2002)
Duke Math. J.
, vol.114
, pp. 239-266
-
-
Neretin, Yu.A.1
-
46
-
-
0003674259
-
-
[NSU], Springer-Verlag, New York
-
[NSU] A. F. NIKIFOROV, S. K. SUSLOV and V. B. UVAROV, Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational, Physics, Springer-Verlag, New York, 1991.
-
(1991)
Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational, Physics
-
-
Nikiforov, A.F.1
Suslov, S.K.2
Uvarov, V.B.3
-
47
-
-
0004075836
-
-
[NMPZ], Consultants Bureau [Plenum], New York
-
[NMPZ] S. NOVIKOV, S. V. MANAKOV, L. P. PITAEVSKII, and V. E. ZAKHAROV, Theory of Solitons: The Inverse Scattering Method, Contemporary Soviet Mathematics, Consultants Bureau [Plenum], New York, 1984.
-
(1984)
Theory of Solitons: The Inverse Scattering Method, Contemporary Soviet Mathematics
-
-
Novikov, S.1
Manakov, S.V.2
Pitaevskii, L.P.3
Zakharov, V.E.4
-
48
-
-
1842788768
-
Asymptotics of Jack polynomials as the number of variables goes to infinity
-
[OkOl]
-
[OkOl] A. OKOUNKOV and G. OLSHANSKI, Asymptotics of Jack polynomials as the number of variables goes to infinity, Internat. Math. Res. Notices 1998, no. 13, 641-682.
-
(1998)
Internat. Math. Res. Notices
, vol.13
, pp. 641-682
-
-
Okounkov, A.1
Olshanski, G.2
-
49
-
-
0012360416
-
Unitary representations of infinite-dimensional pairs (G, K) and the formalism of R. Howe
-
[Ol1]
-
[Ol1] G. OLSHANSKI, Unitary representations of infinite-dimensional pairs (G, K) and the formalism of R. Howe, Soviet Math. Dokl. 27 (1983), 290-294.
-
(1983)
Soviet Math. Dokl.
, vol.27
, pp. 290-294
-
-
Olshanski, G.1
-
50
-
-
0001471212
-
Unitary representations of infinite-dimensional pairs (G, K) and the formalism of R. Howe
-
[Ol2], Representation of Lie Groups and Related Topics, (A. Vershik and D. Zhelobenko, eds.), Gordon and Breach Science Publishers, New York
-
[Ol2] _, Unitary representations of infinite-dimensional pairs (G, K) and the formalism of R. Howe, in Representation of Lie Groups and Related Topics, (A. Vershik and D. Zhelobenko, eds.), Advanced Studies in Contemporary Math. 7, Gordon and Breach Science Publishers, New York, 1990, pp. 269-463.
-
(1990)
Advanced Studies in Contemporary Math.
, vol.7
, pp. 269-463
-
-
-
51
-
-
0346343169
-
The problem of harmonic analysis on the infinite-dimensional unitary group
-
[Ol3]; math/0109193
-
[Ol3] _, The problem of harmonic analysis on the infinite-dimensional unitary group, J. Funct. Anal. 205 (2003), 464-524; math/0109193.
-
(2003)
J. Funct. Anal.
, vol.205
, pp. 464-524
-
-
-
52
-
-
0000236195
-
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices
-
[OV], Contemp. Mathematical Physics (R. L. Dobrushin, R. A. Minlos, M. A. Shubin, and A. M. Vershik, eds.), A. M. S., Providence, R.I.
-
[OV] G. OLSHANSKI and A. VERSHIK, Ergodic unitarily invariant measures on the space of infinite Hermitian matrices, Contemp. Mathematical Physics (R. L. Dobrushin, R. A. Minlos, M. A. Shubin, and A. M. Vershik, eds.), Amer. Math. Soc. Transl. 175, 137-175, A. M. S., Providence, R.I., 1996.
-
(1996)
Amer. Math. Soc. Transl.
, vol.175
, pp. 137-175
-
-
Olshanski, G.1
Vershik, A.2
-
53
-
-
11144301672
-
Point processes related to the infinite symmetric group
-
[P.I], The Orbit Method in Geometry and Physics (Marseille, 2000), Birkhauser, Boston, math/9804086
-
[P.I] G. OLSHANSKI, Point processes related to the infinite symmetric group, in The Orbit Method in Geometry and Physics (Marseille, 2000), Prog. Math. 213 (2003), Birkhauser, Boston, 349-393; math/9804086.
-
(2003)
Prog. Math.
, vol.213
, pp. 349-393
-
-
Olshanski, G.1
-
58
-
-
0000249694
-
Measures on infinite dimensional Grassmann manifold
-
[Pi1]
-
[Pi1] D. PICKRELL, Measures on infinite dimensional Grassmann manifold, J. Funct. Anal. 70 (1987), 323-356.
-
(1987)
J. Funct. Anal.
, vol.70
, pp. 323-356
-
-
Pickrell, D.1
-
59
-
-
84974000797
-
Mackey analysis of infinite classical motion groups
-
[Pi2]
-
[Pi2] _, Mackey analysis of infinite classical motion groups, Pacific J. Math. 150 (1991), 139-166.
-
(1991)
Pacific J. Math.
, vol.150
, pp. 139-166
-
-
-
60
-
-
0003767918
-
-
[Sh], Springer-Verlag, New York
-
[Sh] A. SHIRYAEV, Probability, Grad. Texts in Math. 95, Springer-Verlag, New York, 1996.
-
(1996)
Probability, Grad. Texts in Math.
, vol.95
-
-
Shiryaev, A.1
-
61
-
-
0034556390
-
Determinantal random point fields
-
[So]; math/0002099
-
[So] A. SOSHNIKOV, Determinantal random point fields, Russian Math. Surveys 55 (2000), 923-975; math/0002099.
-
(2000)
Russian Math. Surveys
, vol.55
, pp. 923-975
-
-
Soshnikov, A.1
-
62
-
-
0002043076
-
Die unzerlegbaren, positive-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
-
[Th]
-
[Th] E. THOMA, Die unzerlegbaren, positive-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe, Math. Z. 85 (1964), 40-61.
-
(1964)
Math. Z.
, vol.85
, pp. 40-61
-
-
Thoma, E.1
-
63
-
-
0001683904
-
Universality of the distribution functions of random matrix theory
-
[TW], Integrable Systems: From Classical to Quantum (Montréal, QC, 1999), A. M. S., Providence, RI, solv-int/9901003
-
[TW] C. A. TRACY and H. WIDOM, Universality of the distribution functions of random matrix theory, in Integrable Systems: From Classical to Quantum (Montréal, QC, 1999) CRM Proc. Lecture Notes 26, 251-264, A. M. S., Providence, RI, 2000; solv-int/9901003.
-
(2000)
CRM Proc. Lecture Notes
, vol.26
, pp. 251-264
-
-
Tracy, C.A.1
Widom, H.2
-
64
-
-
34250241244
-
Asymptotic theory of characters of the symmetric group
-
[VK1]
-
[VK1] A. M. VERSHIK and S. V. KEROV, Asymptotic theory of characters of the symmetric group, Funct. Anal. Appl. 15 (1981), 246-255.
-
(1981)
Funct. Anal. Appl.
, vol.15
, pp. 246-255
-
-
Vershik, A.M.1
Kerov, S.V.2
-
65
-
-
0000724260
-
Characters and factor-representations of the infinite unitary group
-
[VK2]
-
[VK2] _, Characters and factor-representations of the infinite unitary group, Soviet Math. Dokl. 26 (1982), 570-574.
-
(1982)
Soviet Math. Dokl.
, vol.26
, pp. 570-574
-
-
-
69
-
-
30444444449
-
-
English translation: A. M. S., Providence, RI
-
English translation: Transi. Math. Monographs 40, A. M. S., Providence, RI, 1973.
-
(1973)
Transi. Math. Monographs
, vol.40
-
-
|