-
1
-
-
2542500710
-
Dual moment maps to loop algebras
-
Adams, M.R., Harnad, J., Hurtubise, J.: Dual Moment Maps to Loop Algebras. Lett. Math. Phys. 20, 294-308 (1990)
-
(1990)
Lett. Math. Phys.
, vol.20
, pp. 294-308
-
-
Adams, M.R.1
Harnad, J.2
Hurtubise, J.3
-
2
-
-
0005921172
-
String-orthogonal polynomials, string equations and 2-Toda symmetries
-
Adler, M., Van Moerbeke, P.: String-orthogonal polynomials, string equations and 2-Toda symmetries. Comm. Pure and Appl. Math. J. 50, 241-290 (1997)
-
(1997)
Comm. Pure and Appl. Math. J.
, vol.50
, pp. 241-290
-
-
Adler, M.1
Van Moerbeke, P.2
-
3
-
-
0033439997
-
The spectrum of coupled random matrices
-
Adler, M., Van Moerbeke, P.: The Spectrum of Coupled Random Matrices. Ann. Math. 149, 921-976 (1999)
-
(1999)
Ann. Math.
, vol.149
, pp. 921-976
-
-
Adler, M.1
Van Moerbeke, P.2
-
4
-
-
0033443150
-
The Longest increasing subsequence in a random permutation and a unitary random matrix model
-
Baik, J., Deift, P., Johansson, K.: The Longest increasing subsequence in a random permutation and a unitary random matrix model. J. Amer. Math. Soc. 12, 1119-1178 (1999).
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 1119-1178
-
-
Baik, J.1
Deift, P.2
Johansson, K.3
-
5
-
-
0642363984
-
M theory as a matrix model: A conjecture
-
hep-th/9610043
-
Banks, T., Fischler, W., Shenker, S.H., Susskind, L.: M theory as a matrix model: A conjecture, Phys. Rev. D55, 5112 (1997), hep-th/9610043
-
(1997)
Phys. Rev.
, vol.D55
, pp. 5112
-
-
Banks, T.1
Fischler, W.2
Shenker, S.H.3
Susskind, L.4
-
8
-
-
0000472731
-
The Ising model on a random planar lattice: The structure of the phase transition and the exact critical exponents
-
Boulatov, D.V., Kazakov V.A.: The Ising model on a random planar lattice: the structure of the phase transition and the exact critical exponents. Phys. Lett. B 186, 379 (1987)
-
(1987)
Phys. Lett. B
, vol.186
, pp. 379
-
-
Boulatov, D.V.1
Kazakov, V.A.2
-
9
-
-
0002123911
-
A method of integration over matrix variables 2
-
Chadha, S., Mahoux, G., Mehta, M.L.: A method of integration over matrix variables 2. J. Phys. A: Math. Gen. 14, 579 (1981)
-
(1981)
J. Phys. A: Math. Gen.
, vol.14
, pp. 579
-
-
Chadha, S.1
Mahoux, G.2
Mehta, M.L.3
-
10
-
-
0000200923
-
Rational theories of 2D gravity from the two-matrix model
-
hep-th/9303093
-
Daul, J.M., Kazakov, V., Kostov, I.K.: Rational Theories of 2D Gravity from the Two-Matrix Model. Nucl. Phys. B409, 311-338 (1993), hep-th/9303093
-
(1993)
Nucl. Phys.
, vol.B409
, pp. 311-338
-
-
Daul, J.M.1
Kazakov, V.2
Kostov, I.K.3
-
11
-
-
33744549078
-
Planar diagrams, two-dimensional lattice gravity and surface models
-
David, F.: Planar diagrams, two-dimensional lattice gravity and surface models. Nucl. Phys. B 257 [FS14], 45 (1985)
-
(1985)
Nucl. Phys.
, vol.B 257
, Issue.FS14
, pp. 45
-
-
David, F.1
-
12
-
-
0040393258
-
2D gravity and random matrices
-
Di Francesco, P., Ginsparg, P., Zinn-Justin, J.: 2D Gravity and Random Matrices. Phys. Rep. 254, 1 (1995)
-
(1995)
Phys. Rep.
, vol.254
, pp. 1
-
-
Di Francesco, P.1
Ginsparg, P.2
Zinn-Justin, J.3
-
13
-
-
0001177910
-
Strings in less than one dimension and the generalized KdV hierarchies
-
Douglas, M.: Strings in less than one dimension and the generalized KdV hierarchies. Phys. Lett. 238B, 176 (1990)
-
(1990)
Phys. Lett.
, vol.238 B
, pp. 176
-
-
Douglas, M.1
-
14
-
-
0012997655
-
The two-matrix model
-
Random surfaces and quantum gravity. (Cargèse). New York: Plenum
-
Douglas, M.R.: The two-matrix model. In: Random surfaces and quantum gravity. (Cargèse, 1990), NATO Adv. Sci. Inst. Ser. B Phys. 262. New York: Plenum, 1991, pp. 77-83
-
(1990)
NATO Adv. Sci. Inst. Ser. B Phys.
, vol.262
, pp. 77-83
-
-
Douglas, M.R.1
-
15
-
-
0000644797
-
Geometry of 2D topological field theory
-
Integrable systems and quantum groups. M. Francaviglia, S. Greco eds., Berlin-Heidelberg-New York: Springer
-
Dubrovin, B.: Geometry of 2D topological field theory. In: Integrable systems and quantum groups. M. Francaviglia, S. Greco eds., Lect. Notes in Math. 1260, Berlin-Heidelberg-New York: Springer, 1996, pp. 120-348
-
(1996)
Lect. Notes in Math.
, vol.1260
, pp. 120-348
-
-
Dubrovin, B.1
-
16
-
-
35549006412
-
Statistical theory of energy levels of complex systems, I, II and III
-
Dyson, F.: Statistical theory of energy levels of complex systems, I, II and III. J. Math. Phys. 3, 140-156, 157-165, 166-177 (1962)
-
(1962)
J. Math. Phys.
, vol.3
, pp. 140-156
-
-
Dyson, F.1
-
17
-
-
0039430657
-
Correlations between the eigenvalues of a random matrix
-
Dyson, F.: Correlations between the eigenvalues of a random matrix. Commun. Math. Phys. 19, 235 (1970)
-
(1970)
Commun. Math. Phys.
, vol.19
, pp. 235
-
-
Dyson, F.1
-
18
-
-
0035873520
-
Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model
-
Ercolani, N.M., McLaughlin, K.T.-R.: Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model. Physica D 152-153, 232-268 (2001)
-
(2001)
Physica D
, vol.152-153
, pp. 232-268
-
-
Ercolani, N.M.1
McLaughlin, K.T.-R.2
-
19
-
-
0031521153
-
Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices
-
cond-mat/9707005
-
Eynard, B.: Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices. Nucl. Phys. B 506, 633 (1997), cond-mat/9707005
-
(1997)
Nucl. Phys. B
, vol.506
, pp. 633
-
-
Eynard, B.1
-
20
-
-
0032500495
-
Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix
-
cond-mat/9801075
-
Eynard, B.: Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix. J. Phys. A: Math. Gen. 31, 8081 (1998), cond-mat/9801075
-
(1998)
J. Phys. A: Math. Gen.
, vol.31
, pp. 8081
-
-
Eynard, B.1
-
21
-
-
0012941553
-
-
Lectures Given at Saclay, October
-
Eynard, B.: An introduction to random matrices. Lectures given at Saclay, October 2000, notes available at http://www-spht.cea.fr/articles/t01/014/.
-
(2000)
An Introduction to Random Matrices
-
-
Eynard, B.1
-
22
-
-
0032523672
-
Matrices coupled in a chain: Eigenvalue correlations
-
cond-mat/9710230
-
Eynard, B., Mehta, M.L.: Matrices coupled in a chain: Eigenvalue correlations. J. Phys. A: Math. Gen. 31, 4449 (1998), cond-mat/9710230
-
(1998)
J. Phys. A: Math. Gen.
, vol.31
, pp. 4449
-
-
Eynard, B.1
Mehta, M.L.2
-
23
-
-
0001865474
-
Sur la loi limite de l'espacement des valeurs propres d'une matrice aléatoire
-
Gaudin, M.: Sur la loi limite de l'espacement des valeurs propres d'une matrice aléatoire. Nucl. Phys. 25, 447-458 (1960)
-
(1960)
Nucl. Phys.
, vol.25
, pp. 447-458
-
-
Gaudin, M.1
-
24
-
-
0039165794
-
Random matrix theories in quantum physics: Common concepts
-
Guhr, T., Mueller-Groeling, A., Weidenmuller, H.A.: Random matrix theories in quantum physics: Common concepts. Phys. Rep. 299, 189 (1998)
-
(1998)
Phys. Rep.
, vol.299
, pp. 189
-
-
Guhr, T.1
Mueller-Groeling, A.2
Weidenmuller, H.A.3
-
26
-
-
21844488807
-
Dual isomonodromic deformations and moment maps into loop algebras
-
Harnad, J.: Dual Isomonodromic Deformations and Moment Maps into Loop Algebras. Commun. Math. Phys. 166, 337-365 (1994)
-
(1994)
Commun. Math. Phys.
, vol.166
, pp. 337-365
-
-
Harnad, J.1
-
27
-
-
0012995957
-
Dual isomonodromic tau functions and determinants of integrable fredholm operators
-
MSRI Research Publications. Cambridge: Cambridge Univ. Press, eds. P.M. Bleher and A.R. Its
-
Harnad, J,: Dual Isomonodromic Tau Functions and Determinants of Integrable Fredholm Operators. In: Random Matrices and Their Applications, MSRI Research Publications 40. Cambridge: Cambridge Univ. Press, eds. P.M. Bleher and A.R. Its, 2001
-
(2001)
Random Matrices and Their Applications
, vol.40
-
-
Harnad, J.1
-
28
-
-
0001803943
-
Hamiltonian structure of equations appearing in random matrices
-
ed. H. Osborn. New York: Plenum
-
Harnad, J., Tracy C.A., Widom, H.: Hamiltonian Structure of Equations Appearing in Random Matrices. In: Low Dimensional Topology and Quantum Field Theory, ed. H. Osborn. New York: Plenum, 1993, pp. 231-245
-
(1993)
Low Dimensional Topology and Quantum Field Theory
, pp. 231-245
-
-
Harnad, J.1
Tracy, C.A.2
Widom, H.3
-
29
-
-
0001320728
-
Differential equations for quantum correlation functions
-
Its, A.R., Izergin, A.G., Korepin, V.E., Slavnov, N.A.: Differential Equations for Quantum Correlation Functions. Int. J. Mod. Phys. B4, 1003-1037 (1990)
-
(1990)
Int. J. Mod. Phys.
, vol.B4
, pp. 1003-1037
-
-
Its, A.R.1
Izergin, A.G.2
Korepin, V.E.3
Slavnov, N.A.4
-
30
-
-
36749111480
-
The planar approximation (II)
-
Itzykson, C., Zuber, J.B.: The planar approximation (II). J. Math. Phys. 21, 411 (1980)
-
(1980)
J. Math. Phys.
, vol.21
, pp. 411
-
-
Itzykson, C.1
Zuber, J.B.2
-
31
-
-
49149137872
-
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients I
-
Jimbo, M., Miwa, T., Ueno, K.: Monodromy Preserving Deformation of Linear Ordinary Differential Equations with Rational Coefficients I. Physica 2D, 306-352 (1981)
-
(1981)
Physica
, vol.2 D
, pp. 306-352
-
-
Jimbo, M.1
Miwa, T.2
Ueno, K.3
-
32
-
-
49049148970
-
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients II, III
-
Jimbo, M., Miwa, T.: Monodromy Preserving Deformation of Linear Ordinary Differential Equations with Rational Coefficients II, III. Physica 2D, 407-448 (1981); ibid., 4D, 26-46 (1981)
-
(1981)
Physica
, vol.2 D
, pp. 407-448
-
-
Jimbo, M.1
Miwa, T.2
-
33
-
-
49049152822
-
-
Jimbo, M., Miwa, T.: Monodromy Preserving Deformation of Linear Ordinary Differential Equations with Rational Coefficients II, III. Physica 2D, 407-448 (1981); ibid., 4D, 26-46 (1981)
-
(1981)
Physica
, vol.4 D
, pp. 26-46
-
-
-
34
-
-
0034340689
-
Shape fluctuations and random matrices
-
Johansson, K.: Shape fluctuations and random matrices. Commun. Math. Phys. 209, 437-476 (2000)
-
(2000)
Commun. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
35
-
-
0013002823
-
-
A.M.S. Colloquium Publications. Providence, RI: AMS
-
Katz, N., Sarnak, P.: Random Matrices, Frobenius Eigenvalues and Monodromy. A.M.S. Colloquium Publications, Vol. 45. Providence, RI: AMS, 1999
-
(1999)
Random Matrices, Frobenius Eigenvalues and Monodromy
, vol.45
-
-
Katz, N.1
Sarnak, P.2
-
36
-
-
17144426793
-
Ising model on a dynamical planar random lattice: Exact solution
-
Kazakov, V.A.: Ising model on a dynamical planar random lattice: exact solution. Phys Lett. A119, 140-144 (1986)
-
(1986)
Phys Lett.
, vol.A119
, pp. 140-144
-
-
Kazakov, V.A.1
-
37
-
-
0002833366
-
Gauge invariant matrix model for the A-D-E closed strings
-
hep-th/9208053
-
Kostov, I.: Gauge Invariant Matrix Model for the A-D-E Closed Strings. Phys. Lett. B297, 74 (1992), hep-th/9208053
-
(1992)
Phys. Lett.
, vol.B297
, pp. 74
-
-
Kostov, I.1
-
39
-
-
0041958415
-
A method of integration over matrix variables
-
Mehta, M.L.: A method of integration over matrix variables. Commun. Math. Phys. 79, 327 (1981)
-
(1981)
Commun. Math. Phys.
, vol.79
, pp. 327
-
-
Mehta, M.L.1
-
40
-
-
0001358033
-
On the density of eigenvalues of a random matrix
-
Mehta, M.L., Gaudin, M.: On the density of eigenvalues of a random matrix. Nucl. Phys. 18, 420-427 (1960)
-
(1960)
Nucl. Phys.
, vol.18
, pp. 420-427
-
-
Mehta, M.L.1
Gaudin, M.2
-
41
-
-
21844484521
-
Two coupled matrices: Eigenvalue correlations and spacing functions
-
Mehta, M.L., Shukla, P.: Two coupled matrices: Eigenvalue correlations and spacing functions. J. Phys. A: Math. Gen. 27, 7793-7803 (1994)
-
(1994)
J. Phys. A: Math. Gen.
, vol.27
, pp. 7793-7803
-
-
Mehta, M.L.1
Shukla, P.2
-
42
-
-
84968518845
-
On the distribution of spacings between the zeros of the zeta function
-
Odlyzko, A.M.: On the distribution of spacings between the zeros of the zeta function. Math. Comp. 48, 273-308 (1987)
-
(1987)
Math. Comp.
, vol.48
, pp. 273-308
-
-
Odlyzko, A.M.1
-
43
-
-
0000439075
-
Universal distributions for growth processes in 1 + 1 dimensions and random matrices
-
cond-mat/9912264
-
Praehofer, M., Spohn, H.: Universal distributions for growth processes in 1 + 1 dimensions and random matrices. Phys. Rev. Lett. 84 (2000) 4882, cond-mat/9912264.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4882
-
-
Praehofer, M.1
Spohn, H.2
-
44
-
-
0000580673
-
Zeros of principal L-functions and random matrix theory
-
Rudnick, Z., Sarnak, P.: Zeros of principal L-functions and random matrix theory. Duke Math. J. 81, 269-322 (1996)
-
(1996)
Duke Math. J.
, vol.81
, pp. 269-322
-
-
Rudnick, Z.1
Sarnak, P.2
-
46
-
-
0001412826
-
(q, p) critical points from the two-matrix models
-
n
-
Tada, T.: (q, p) critical points from the two-matrix models. Phys. Lett. B 259, 442 (1991) n
-
(1991)
Phys. Lett.
, vol.B 259
, pp. 442
-
-
Tada, T.1
-
47
-
-
0000649044
-
Introduction to random matrices
-
Geometric and Quantum Aspects of Integrable Systems, ed. G.F. Helminck. Berlin-Heidelberg-New York: Springer
-
Tracy, C.A., Widom, H.: Introduction to random matrices. In: Geometric and Quantum Aspects of Integrable Systems, ed. G.F. Helminck. Springer Lecture Notes in Physics 424. Berlin-Heidelberg-New York: Springer, 1993, pp. 103-130
-
(1993)
Springer Lecture Notes in Physics
, vol.424
, pp. 103-130
-
-
Tracy, C.A.1
Widom, H.2
-
48
-
-
0342395256
-
Fredholm determinants, differential equations and matrix models
-
Tracy, C.A., Widom, H.: Fredholm determinants, differential equations and matrix models. Commun. Math. Phys. 161, 289-309 (1994)
-
(1994)
Commun. Math. Phys.
, vol.161
, pp. 289-309
-
-
Tracy, C.A.1
Widom, H.2
-
50
-
-
34249970448
-
Christoffel-darboux-type formulae and a recurrence for biorthogonal polynomials
-
Userkesm, A., Norset, S.P.: Christoffel-Darboux-Type Formulae and a Recurrence for Biorthogonal Polynomials. Constructive Approximation, 5, 437-454 (1989)
-
(1989)
Constructive Approximation
, vol.5
, pp. 437-454
-
-
Userkesm, A.1
Norset, S.P.2
-
51
-
-
0031065608
-
Random matrix model approach to chiral symmetry
-
Verbaarshot, J.J.M.: Random matrix model approach to chiral symmetry. Nucl. Phys. Proc. Suppl. 53, 88 (1997)
-
(1997)
Nucl. Phys. Proc. Suppl.
, vol.53
, pp. 88
-
-
Verbaarshot, J.J.M.1
-
52
-
-
84927349471
-
On the statistical distribution of widths and spacings of nuclear resonance levels
-
Wigner, E.P.: On the statistical distribution of widths and spacings of nuclear resonance levels. Proc. Cambridge Phil. Soc. 47, 790-798 (1951)
-
(1951)
Proc. Cambridge Phil. Soc.
, vol.47
, pp. 790-798
-
-
Wigner, E.P.1
-
53
-
-
0032474388
-
Universality of correlation functions of hermitian random matrices in an external field
-
cond-mat/9705044
-
Zinn-Justin, P.: Universality of correlation functions of hermitian random matrices in an external field. Commun. Math. Phys. 194, 631 (1998), cond-mat/9705044
-
(1998)
Commun. Math. Phys.
, vol.194
, pp. 631
-
-
Zinn-Justin, P.1
|