-
1
-
-
61849174598
-
Universality for the Pearcey process and a PDE for the transition probabilities
-
Preprint
-
Adler, M.; Orantin, N.; van Moerbeke, P. Universality for the Pearcey process and a PDE for the transition probabilities. Preprint, 2008.
-
(2008)
-
-
Adler, M.1
Orantin, N.2
van Moerbeke, P.3
-
2
-
-
0035595523
-
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum
-
Adler, M.; van Moerbeke, P. Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum. Ann. of Math. (2) 153 (2001), no. 1, 149-189.
-
(2001)
Ann. of Math. (2)
, vol.153
, Issue.1
, pp. 149-189
-
-
Adler, M.1
van Moerbeke, P.2
-
3
-
-
23244433542
-
PDEs for the joint distributions of the Dyson, Airy and sine processes
-
Adler, M.; van Moerbeke, P. PDEs for the joint distributions of the Dyson, Airy and sine processes. Ann. Probab. 33 (2005), no. 4, 1326-1361.
-
(2005)
Ann. Probab
, vol.33
, Issue.4
, pp. 1326-1361
-
-
Adler, M.1
van Moerbeke, P.2
-
4
-
-
61849175800
-
-
Adler, M.; van Moerbeke, P. joint probability for the Pearcey process. arXiv: math/0612393, 2006.
-
Adler, M.; van Moerbeke, P. joint probability for the Pearcey process. arXiv: math/0612393, 2006.
-
-
-
-
5
-
-
34547829712
-
PDE's for the Gaussian ensemble with external source and the Pearcey distribution
-
Adler, M.; van Moerbeke, P. PDE's for the Gaussian ensemble with external source and the Pearcey distribution. Comm. Pure Appl. Math. 60 (2007), no. 9, 1261-1292.
-
(2007)
Comm. Pure Appl. Math
, vol.60
, Issue.9
, pp. 1261-1292
-
-
Adler, M.1
van Moerbeke, P.2
-
6
-
-
61849091789
-
-
Adler, M.; van Moerbeke, P.; Vanhaecke, P. Moment matrices and multi-component KP with applications to random matrix theory. arXiv: math-ph/0612064vl, 2006.
-
Adler, M.; van Moerbeke, P.; Vanhaecke, P. Moment matrices and multi-component KP with applications to random matrix theory. arXiv: math-ph/0612064vl, 2006.
-
-
-
-
7
-
-
24144459114
-
n limit of Gaussian random matrices with external source. II
-
Aptekarev, A. I.; Bleher, P. M.; Kuijlaars, A. B. J. Large n limit of Gaussian random matrices with external source. II.Comm. Math. Phys. 259 (2005), no. 2, 367-389.
-
(2005)
Comm. Math. Phys
, vol.259
, Issue.2
, pp. 367-389
-
-
Aptekarev, A.I.1
Bleher, P.M.2
Kuijlaars, A.B.J.L.3
-
8
-
-
33745619769
-
Painleve formulas of the limiting distributions for nonnull complex sample covariance matrices
-
Baik, I. Painleve formulas of the limiting distributions for nonnull complex sample covariance matrices. Duke Math. J. 133 (2006), no. 2, 205-235.
-
(2006)
Duke Math. J
, vol.133
, Issue.2
, pp. 205-235
-
-
Baik, I.1
-
9
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
Baik, J.; Ben Arous, G.; Péché, S. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 33 (2005), no. 5, 1643-1697.
-
(2005)
Ann. Probab
, vol.33
, Issue.5
, pp. 1643-1697
-
-
Baik, J.1
Ben Arous, G.2
Péché, S.3
-
10
-
-
1342290290
-
Random matrices with external source and multiple orthogonal polynomials
-
Bleher, P. M.; Kuijlaars, A. B. I. Random matrices with external source and multiple orthogonal polynomials. Int. Math. Res. Not. 2004, no. 3, 109-129.
-
(2004)
Int. Math. Res. Not
, Issue.3
, pp. 109-129
-
-
Bleher, P.M.1
Kuijlaars, A.B.I.2
-
11
-
-
0030592669
-
Correlations of nearby levels induced by a random potential
-
Brézin, E.; Hikami, S. Correlations of nearby levels induced by a random potential. Nuclear Phys. B 479 (1996), no. 3, 697-706.
-
(1996)
Nuclear Phys. B
, vol.479
, Issue.3
, pp. 697-706
-
-
Brézin, E.1
Hikami, S.2
-
12
-
-
4243508492
-
Extension of level spacing universality
-
Brézin, E.; Hikami, S. Extension of level spacing universality. Phys. Rev. E 56 (1997), no. 1,n 264-269.
-
(1997)
Phys. Rev. E
, vol.56
, Issue.1 and
, pp. 264-269
-
-
Brézin, E.1
Hikami, S.2
-
13
-
-
0010481023
-
Level spacing of random matrices in an external source
-
Brézin, E.; Hikami, S. Level spacing of random matrices in an external source. Phys. Rev. E 57 (1998), no. 6, 7176-7185.
-
(1998)
Phys. Rev. E
, vol.57
, Issue.6
, pp. 7176-7185
-
-
Brézin, E.1
Hikami, S.2
-
14
-
-
0032050389
-
-
Brézin, E.; Hikami, S. Universal singularity at the closure of a gap in a random matrix theory. Phys. Rev. E 57 (1998), no. 4, 4140149.
-
Brézin, E.; Hikami, S. Universal singularity at the closure of a gap in a random matrix theory. Phys. Rev. E 57 (1998), no. 4, 4140149.
-
-
-
-
15
-
-
0033459230
-
Strong asymptotics of orthogonal polynomials with respect to exponential weights
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. Strong asymptotics of orthogonal polynomials with respect to exponential weights. Comm. Pure Appl. Math. 52 (1999), no. 12, 1491-1552.
-
(1999)
Comm. Pure Appl. Math
, vol.52
, Issue.12
, pp. 1491-1552
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
16
-
-
0041637573
-
A Brownian-motion model for the eigenvalues of a random matrix
-
Dyson, F. J. A Brownian-motion model for the eigenvalues of a random matrix. J. Mathematical Phys. 3 (1962), 1191-1198.
-
(1962)
J. Mathematical Phys
, vol.3
, pp. 1191-1198
-
-
Dyson, F.J.1
-
17
-
-
0033089822
-
Brownian motion in a Weyl chamber, non-colliding particles, and random matrices
-
Grabiner, D. J. Brownian motion in a Weyl chamber, non-colliding particles, and random matrices. Ann. Inst. H. Poincaré Probab. Statist. 35 (1999), no. 2, 177-204.
-
(1999)
Ann. Inst. H. Poincaré Probab. Statist
, vol.35
, Issue.2
, pp. 177-204
-
-
Grabiner, D.J.1
-
18
-
-
0019147547
-
A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
-
Hastings, S. P.; McLeod, J. B. A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Arch. Rational Mech. Anal. 73 (1980), no. 1, 31-51.
-
(1980)
Arch. Rational Mech. Anal
, vol.73
, Issue.1
, pp. 31-51
-
-
Hastings, S.P.1
McLeod, J.B.2
-
19
-
-
0035530553
-
Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
-
Johansson, K. Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices. Comm. Math. Phys. 215 (2001), no. 3, 683-705.
-
(2001)
Comm. Math. Phys
, vol.215
, Issue.3
, pp. 683-705
-
-
Johansson, K.1
-
20
-
-
0242592942
-
Discrete polynuclear growth and determinantal processes
-
Johansson, K. Discrete polynuclear growth and determinantal processes. Comm. Math. Phys. 242 (2003), no. 1-2, 277-329.
-
(2003)
Comm. Math. Phys
, vol.242
, Issue.1-2
, pp. 277-329
-
-
Johansson, K.1
-
21
-
-
14944380861
-
The arctic circle boundary and the Airy process
-
Johansson, K. The arctic circle boundary and the Airy process. Ann. Probab. 33 (2005), no. 1, 1-30.
-
(2005)
Ann. Probab
, vol.33
, Issue.1
, pp. 1-30
-
-
Johansson, K.1
-
22
-
-
84972545947
-
Coincidence probabilities
-
Karlin, S.; McGregor, J. Coincidence probabilities. Pacific J. Math. 9 (1959), 1141-1164.
-
(1959)
Pacific J. Math
, vol.9
, pp. 1141-1164
-
-
Karlin, S.1
McGregor, J.2
-
23
-
-
33845291138
-
Random skew plane partitions and the Pearcey process
-
Okounkov, A.; Reshetikhin, N. Random skew plane partitions and the Pearcey process. Comm. Math. Phys. 269 (2007), no. 3, 571-609.
-
(2007)
Comm. Math. Phys
, vol.269
, Issue.3
, pp. 571-609
-
-
Okounkov, A.1
Reshetikhin, N.2
-
24
-
-
0002728031
-
The spectrum of random matrices
-
Pastur, L. A. The spectrum of random matrices. Teoret. Mat. Eiz. 10 (1972), no. 1, 102-112.
-
(1972)
Teoret. Mat. Eiz
, vol.10
, Issue.1
, pp. 102-112
-
-
Pastur, L.A.1
-
25
-
-
28144463102
-
The largest eigenvalue of small rank perturbations of Hermitian random matrices
-
Péche, S. The largest eigenvalue of small rank perturbations of Hermitian random matrices.Probab. Theory Related Fields 134 (2006), no. 1, 127-173.
-
(2006)
Probab. Theory Related Fields
, vol.134
, Issue.1
, pp. 127-173
-
-
Péche, S.1
-
26
-
-
0141450340
-
Scale invariance of the PNG droplet and the Airy process
-
Prahofer, M.; Spohn, H. Scale invariance of the PNG droplet and the Airy process. J. Statist. Phys. 108 (2002), no. 5-6, 1071-1106.
-
(2002)
J. Statist. Phys
, vol.108
, Issue.5-6
, pp. 1071-1106
-
-
Prahofer, M.1
Spohn, H.2
-
27
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
Tracy, C. A.; Widom, H. Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159(1994), no. 1, 151-174.
-
(1994)
Comm. Math. Phys
, vol.159
, Issue.1
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
28
-
-
11244288128
-
Differential equations for Dyson processes
-
Tracy, C. A.; Widom, H. Differential equations for Dyson processes. Comm. Math. Phys. 252 (2004), no. 1-3, 7-41.
-
(2004)
Comm. Math. Phys
, vol.252
, Issue.1-3
, pp. 7-41
-
-
Tracy, C.A.1
Widom, H.2
-
29
-
-
33644587270
-
The Pearcey process
-
Tracy, C. A.; Widom, H. The Pearcey process. Comm. Math. Phys. 263 (2006), no. 2, 381-400.
-
(2006)
Comm. Math. Phys
, vol.263
, Issue.2
, pp. 381-400
-
-
Tracy, C.A.1
Widom, H.2
-
30
-
-
0002596374
-
Toda lattice hierarchy
-
Advanced Studies in Pure Mathematics, 4. North-Holland, Amsterdam
-
Ueno, K.; Takasaki, K. Toda lattice hierarchy. Group representations and. systems of differential equations (Tokyo, 1982), 1-95. Advanced Studies in Pure Mathematics, 4. North-Holland, Amsterdam, 1984.
-
(1984)
Group representations and. systems of differential equations (Tokyo, 1982)
, pp. 1-95
-
-
Ueno, K.1
Takasaki, K.2
-
31
-
-
3543020979
-
On asymptotics for the Airy process
-
Widom, H. On asymptotics for the Airy process. J. Statist. Phys. 115 (2004), no. 3-4, 1129-1134.
-
(2004)
J. Statist. Phys
, vol.115
, Issue.3-4
, pp. 1129-1134
-
-
Widom, H.1
-
32
-
-
0031589479
-
Random Hermitian matrices in an external field
-
Zinn-Justin, P. Random Hermitian matrices in an external field. Nuclear Phys. B 497 1997), no. 3, 725-732.
-
(1997)
Nuclear Phys. B
, vol.497
, Issue.3
, pp. 725-732
-
-
Zinn-Justin, P.1
-
33
-
-
0032474388
-
Universality of correlation functions of hermitian random matrices in an external field
-
Zinn-Justin, P. Universality of correlation functions of hermitian random matrices in an external field. Comm. Math. Phys. 194 (1998), 631-650.
-
(1998)
Comm. Math. Phys
, vol.194
, pp. 631-650
-
-
Zinn-Justin, P.1
|