-
1
-
-
0039951239
-
Moment estimates derived from Poincaré and logarithmic Sobolev inequalities
-
AIDA, S., AND STROOCK, D. Moment estimates derived from Poincaré and logarithmic Sobolev inequalities. Math. Res. Lett. 1, 1 (1994), 75-86.
-
(1994)
Math. Res. Lett
, vol.1
, Issue.1
, pp. 75-86
-
-
AIDA, S.1
STROOCK, D.2
-
2
-
-
0035539947
-
On the 1/n expansion for some unitary invariant ensembles of random matrices
-
Dedicated to Joel L. Lebowitz
-
ALBEVERIO, S., PASTUR, L., AND SHCHERBINA, M. On the 1/n expansion for some unitary invariant ensembles of random matrices. Comm. Math. Phys. 224, 1 (2001), 271-305. Dedicated to Joel L. Lebowitz.
-
(2001)
Comm. Math. Phys
, vol.224
, Issue.1
, pp. 271-305
-
-
ALBEVERIO, S.1
PASTUR, L.2
SHCHERBINA, M.3
-
3
-
-
0036459716
-
On the concentration of eigenvalues of random symmetric matrices
-
ALON, N., KRIVELEVICH, M., AND VU, V. H. On the concentration of eigenvalues of random symmetric matrices. Israel J. Math. 131 (2002), 259-267.
-
(2002)
Israel J. Math
, vol.131
, pp. 259-267
-
-
ALON, N.1
KRIVELEVICH, M.2
VU, V.H.3
-
4
-
-
0000276487
-
-
AMBJØRN, J., CHEKHOV, L., KRISTJANSEN, C. F., AND MAKEENKO, Y. Matrix model calculations beyond the spherical limit. Nuclear Physics B 404 (1993), 127-172.
-
AMBJØRN, J., CHEKHOV, L., KRISTJANSEN, C. F., AND MAKEENKO, Y. Matrix model calculations beyond the spherical limit. Nuclear Physics B 404 (1993), 127-172.
-
-
-
-
5
-
-
84887260624
-
Necessary optimality conditions for geodesics in weighted Wasserstein spaces
-
AMBROSIO, L., AND SANTAMBROGIO, F. Necessary optimality conditions for geodesics in weighted Wasserstein spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18, 1 (2007), 23-37.
-
(2007)
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl
, vol.18
, Issue.1
, pp. 23-37
-
-
AMBROSIO, L.1
SANTAMBROGIO, F.2
-
6
-
-
65349112203
-
An introduction to random matrices
-
Work in progress
-
ANDERSON, G., GUIONNET, A., AND ZEITOUNI, O. An introduction to random matrices. Work in progress.
-
-
-
ANDERSON, G.1
GUIONNET, A.2
ZEITOUNI, O.3
-
7
-
-
28644444644
-
A CLT for a band matrix model
-
ANDERSON, G. W., AND ZEITOUNI, O. A CLT for a band matrix model. Probab. Theory Related Fields 134, 2 (2006), 283-338.
-
(2006)
Probab. Theory Related Fields
, vol.134
, Issue.2
, pp. 283-338
-
-
ANDERSON, G.W.1
ZEITOUNI, O.2
-
8
-
-
7244240248
-
Sur les inégalités de Sobolev logarithmiques
-
of Société Mathématique de France, Paris, With a. preface by Dominique Bakry and Michel Ledoux
-
ANÉ, C., BLACHERE, S., CHAFAÏ, D., FOUGÈRES, P., GENTIL, I., MALRIEU, F., ROBERTO, C., AND SCHEFFER, G. Sur les inégalités de Sobolev logarithmiques, vol. 10 of Panoramas et Synthèses [Panoramas and Syntheses] Société Mathématique de France, Paris, 2000. With a. preface by Dominique Bakry and Michel Ledoux.
-
(2000)
Panoramas et Synthèses [Panoramas and Syntheses]
, vol.10
-
-
ANÉ, C.1
BLACHERE, S.2
CHAFAÏ, D.3
FOUGÈRES, P.4
GENTIL, I.5
MALRIEU, F.6
ROBERTO, C.7
SCHEFFER, G.8
-
11
-
-
0009128834
-
Convergence rate of expected spectral distributions of large random matrices. I. Wigner matrices
-
BAI, Z. D. Convergence rate of expected spectral distributions of large random matrices. I. Wigner matrices. Ann. Probab. 21, 2 (1993), 625-648.
-
(1993)
Ann. Probab
, vol.21
, Issue.2
, pp. 625-648
-
-
BAI, Z.D.1
-
12
-
-
0031534271
-
Circular law
-
BAI, Z. D. Circular law. Ann. Probab. 25, 1 (1997), 494-529.
-
(1997)
Ann. Probab
, vol.25
, Issue.1
, pp. 494-529
-
-
BAI, Z.D.1
-
13
-
-
0347989448
-
-
BAI, Z. D. Methodologies in spectral analysis of large-dimensional random matrices, a review. Statist. Sinica 9, 3 (1999), 611-677. With comments by G. J. Rodgers and Jack W. Silverstein; and a rejoinder by the author.
-
BAI, Z. D. Methodologies in spectral analysis of large-dimensional random matrices, a review. Statist. Sinica 9, 3 (1999), 611-677. With comments by G. J. Rodgers and Jack W. Silverstein; and a rejoinder by the author.
-
-
-
-
14
-
-
22044453079
-
No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
-
BAI, Z. D., AND SILVERSTEIN, J. W. No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Ann. Probab. 26, 1 (1998), 316-345.
-
(1998)
Ann. Probab
, vol.26
, Issue.1
, pp. 316-345
-
-
BAI, Z.D.1
SILVERSTEIN, J.W.2
-
15
-
-
0003007394
-
Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix
-
BAI, Z. D., AND YIN, Y. Q. Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Probab. 16, 4 (1988), 1729-1741.
-
(1988)
Ann. Probab
, vol.16
, Issue.4
, pp. 1729-1741
-
-
BAI, Z.D.1
YIN, Y.Q.2
-
16
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
BAIK, J., BEN AROUS, G., AND PÉCHÉ, S. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 33, 5 (2005), 1643-1697.
-
(2005)
Ann. Probab
, vol.33
, Issue.5
, pp. 1643-1697
-
-
BAIK, J.1
BEN AROUS, G.2
PÉCHÉ, S.3
-
17
-
-
0033443150
-
On the distribution of the length of the longest increasing subsequence of random permutations
-
BAIK, J., DEIFT, P., AND JOHANSSON, K. On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc. 12, 4 (1999), 1119-1178.
-
(1999)
J. Amer. Math. Soc
, vol.12
, Issue.4
, pp. 1119-1178
-
-
BAIK, J.1
DEIFT, P.2
JOHANSSON, K.3
-
18
-
-
0001119849
-
Diffusions hypercontractives
-
Séminaire de probability, XIX, 1983/84, of, Springer, Berlin
-
BAKRY, D., AND ÉMERY, M. Diffusions hypercontractives. In Séminaire de probability, XIX, 1983/84, vol. 1123 of Lecture Notes in Math. Springer, Berlin, 1985, pp. 177-206.
-
(1985)
Lecture Notes in Math
, vol.1123
, pp. 177-206
-
-
BAKRY, D.1
ÉMERY, M.2
-
19
-
-
65349163073
-
Inégalités de Sobolev pour un semi-groupe symétrique.
-
BAKRY, D., AND ÉMERY, M. Inégalités de Sobolev pour un semi-groupe symétrique. C. R. Acad. Sci. Paris Sér. I Math. 301, 8 (1985), 411-413.
-
(1985)
C. R. Acad. Sci. Paris Sér. I Math
, vol.301
, Issue.8
, pp. 411-413
-
-
BAKRY, D.1
ÉMERY, M.2
-
20
-
-
12144282256
-
A connection between free and classical infinite divisibility
-
BARNDORFF-NIELSEN, O. E., AND THORBJøRNSEN, S. A connection between free and classical infinite divisibility. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, 4 (2004), 573-590.
-
(2004)
Infin. Dimens. Anal. Quantum Probab. Relat. Top
, vol.7
, Issue.4
, pp. 573-590
-
-
BARNDORFF-NIELSEN, O.E.1
THORBJøRNSEN, S.2
-
21
-
-
4043138417
-
Levels of concentration between exponential and Gaussian
-
BARTHE, F. Levels of concentration between exponential and Gaussian. Ann. Fac. Sci. Toulouse Math. (6) 10, 3 (2001), 393-404.
-
(2001)
Ann. Fac. Sci. Toulouse Math. (6)
, vol.10
, Issue.3
, pp. 393-404
-
-
BARTHE, F.1
-
22
-
-
33846169811
-
Concentration for independent random variables with heavy tails
-
BARTHE, F., CATTIAUX, P., AND ROBERTO, C. Concentration for independent random variables with heavy tails. AMRX Appl. Math. Res. Express, 2 (2005), 39-60.
-
(2005)
AMRX Appl. Math. Res. Express
, vol.2
, pp. 39-60
-
-
BARTHE, F.1
CATTIAUX, P.2
ROBERTO, C.3
-
23
-
-
0242676349
-
A property of free entropy
-
BELINSCHI, S. T., AND BERCOVICI, H. A property of free entropy. Pacific J. Math. 211, 1 (2003), 35-40.
-
(2003)
Pacific J. Math
, vol.211
, Issue.1
, pp. 35-40
-
-
BELINSCHI, S.T.1
BERCOVICI, H.2
-
24
-
-
0035592914
-
Aging of spherical spin glasses
-
BEN AROUS, G., DEMBO, A., AND GUIONNET, A. Aging of spherical spin glasses. Probab. Theory Related Fields 120, 1 (2001), 1-67.
-
(2001)
Probab. Theory Related Fields
, vol.120
, Issue.1
, pp. 1-67
-
-
BEN AROUS, G.1
DEMBO, A.2
GUIONNET, A.3
-
25
-
-
0031499009
-
Large deviations for Wigner's law and Voiculescu's non-commutative entropy
-
BEN AROUS, G., AND GUIONNET, A. Large deviations for Wigner's law and Voiculescu's non-commutative entropy. Probab. Theory Related Fields 108, 4 (1997), 517-542.
-
(1997)
Probab. Theory Related Fields
, vol.108
, Issue.4
, pp. 517-542
-
-
BEN AROUS, G.1
GUIONNET, A.2
-
26
-
-
39149116408
-
The spectrum of heavy tailed random matrices
-
BEN AROUS, G., AND GUIONNET, A. The spectrum of heavy tailed random matrices. Comm. Math. Phys. 278 (2008), 715-751.
-
(2008)
Comm. Math. Phys
, vol.278
, pp. 715-751
-
-
BEN AROUS, G.1
GUIONNET, A.2
-
27
-
-
26944453623
-
-
BEN AROUS, G., AND PÉCHÉ , S. Universality of local eigenvalue statistics for some sample covariance matrices. Comm. Pure Appl. Math. 58, 10 (2005), 1316-1357.
-
BEN AROUS, G., AND PÉCHÉ , S. Universality of local eigenvalue statistics for some sample covariance matrices. Comm. Pure Appl. Math. 58, 10 (2005), 1316-1357.
-
-
-
-
28
-
-
84996131078
-
Large deviations from the circular law
-
electronic
-
BEN AROUS, G., AND ZEITOUNI, O. Large deviations from the circular law. ESAIM Probab. Statist. 2 (1998), 123-134 (electronic).
-
(1998)
ESAIM Probab. Statist
, vol.2
, pp. 123-134
-
-
BEN AROUS, G.1
ZEITOUNI, O.2
-
29
-
-
0012036573
-
The number of degree-restricted rooted maps on the sphere
-
BENDER, E. A., AND CANFIELD, E. R. The number of degree-restricted rooted maps on the sphere. SIAM J. Discrete Math. 7, 1 (1994), 9-15.
-
(1994)
SIAM J. Discrete Math
, vol.7
, Issue.1
, pp. 9-15
-
-
BENDER, E.A.1
CANFIELD, E.R.2
-
30
-
-
0001410646
-
Free convolution of measures with unbounded support
-
BERCOVICI, H., AND VOICULESCU, D. Free convolution of measures with unbounded support. Indiana Univ. Math. J. 42, 3 (1993), 733-773.
-
(1993)
Indiana Univ. Math. J
, vol.42
, Issue.3
, pp. 733-773
-
-
BERCOVICI, H.1
VOICULESCU, D.2
-
31
-
-
23044451814
-
Duality, bimaster loop equations, free energy and correlations for the chain of matrices
-
electronic, 45 pp
-
BERTOLA, M., EYNARD, B., AND HARNAD. Duality, bimaster loop equations, free energy and correlations for the chain of matrices. J. High Energy Phys., 11 (2003), 018, 45 pp. (electronic).
-
(2003)
J. High Energy Phys
, vol.11
, Issue.18
-
-
BERTOLA, M.1
EYNARD, B.2
HARNAD3
-
32
-
-
33646859849
-
Quantum field theory techniques in graphical enumeration
-
BESSIS, D., ITZYKSON, C., AND ZUBER, J. B. Quantum field theory techniques in graphical enumeration. Adv. in Appl. Math. 1, 2 (1980), 109-157.
-
(1980)
Adv. in Appl. Math
, vol.1
, Issue.2
, pp. 109-157
-
-
BESSIS, D.1
ITZYKSON, C.2
ZUBER, J.B.3
-
33
-
-
85009358176
-
-
BHATIA, R. Perturbation hounds for matrix eigenvalues, 53 of Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2007. Reprint of the 1987 original.
-
BHATIA, R. Perturbation hounds for matrix eigenvalues, vol. 53 of Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2007. Reprint of the 1987 original.
-
-
-
-
34
-
-
0001583449
-
On the free convolution with a semi-circular distribution
-
BIANE, P. On the free convolution with a semi-circular distribution. Indiana Univ. Math. J. 46, 3 (1997), 705-718.
-
(1997)
Indiana Univ. Math. J
, vol.46
, Issue.3
, pp. 705-718
-
-
BIANE, P.1
-
35
-
-
0032330569
-
Processes with free increments
-
BIANE, P. Processes with free increments. Math. Z. 227, 1 (1998), 143-174.
-
(1998)
Math. Z
, vol.227
, Issue.1
, pp. 143-174
-
-
BIANE, P.1
-
36
-
-
28444455259
-
Littelmann paths and Brow-nian paths
-
BIANE, P., BOUGEROL, P., AND O'CONNELL, N. Littelmann paths and Brow-nian paths. Duke Math. J. 130, 1 (2005), 127-167.
-
(2005)
Duke Math. J
, vol.130
, Issue.1
, pp. 127-167
-
-
BIANE, P.1
BOUGEROL, P.2
O'CONNELL, N.3
-
37
-
-
0038129894
-
Large deviation bounds for matrix Brownian motion
-
BIANE, P., CAPITAINE, M., AND GUIONNET, A. Large deviation bounds for matrix Brownian motion. Invent. Math. 152, 2 (2003), 433-459.
-
(2003)
Invent. Math
, vol.152
, Issue.2
, pp. 433-459
-
-
BIANE, P.1
CAPITAINE, M.2
GUIONNET, A.3
-
38
-
-
0002829137
-
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
-
BOBKOV, S. G., AND GÖtze, F. Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Funct. Anal. 163, 1 (1999), 1-28.
-
(1999)
J. Funct. Anal
, vol.163
, Issue.1
, pp. 1-28
-
-
BOBKOV, S.G.1
GÖtze, F.2
-
39
-
-
0032576497
-
Biorthogonal ensembles
-
BORODIN, A. Biorthogonal ensembles. Nuclear Phys. B 536, 3 (1999), 704-732.
-
(1999)
Nuclear Phys. B
, vol.536
, Issue.3
, pp. 704-732
-
-
BORODIN, A.1
-
40
-
-
0036882777
-
Paths in Weyl chambers and random matrices
-
BOUGEROL, P., AND JEULIN, T. Paths in Weyl chambers and random matrices. Probab. Theory Related Fields 124, 4 (2002), 517-543.
-
(2002)
Probab. Theory Related Fields
, vol.124
, Issue.4
, pp. 517-543
-
-
BOUGEROL, P.1
JEULIN, T.2
-
41
-
-
0000553945
-
One-dimensional string theory with vortices as the upside-down matrix oscillator
-
BOULATOV, D., AND KAZAKOV, V. One-dimensional string theory with vortices as the upside-down matrix oscillator. Internal. J. Modern Phys. A 8, 5 (1993), 809-851.
-
(1993)
Internal. J. Modern Phys. A
, vol.8
, Issue.5
, pp. 809-851
-
-
BOULATOV, D.1
KAZAKOV, V.2
-
42
-
-
0000472731
-
The Ising model on a random planar lattice: The structure of the phase transition and the exact critical exponents
-
BOULATOV, D. V., AND 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, 3-4 (1987), 379-384.
-
(1987)
Phys. Lett. B
, vol.186
, Issue.3-4
, pp. 379-384
-
-
BOULATOV, D.V.1
KAZAKOV, V.A.2
-
43
-
-
0000472731
-
The Ising model on a random planar lattice: The structure of the phase transition and the exact critical exponents
-
BOULATOV, D. V., AND 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, 3-4 (1987), 379-384.
-
(1987)
Phys. Lett. B
, vol.186
, Issue.3-4
, pp. 379-384
-
-
BOULATOV, D.V.1
KAZAKOV, V.A.2
-
44
-
-
5344250647
-
arXiv:math. CO/0211070
-
BOUSQUET-MELOU, M., AND SCHAEFFER, G. The degree distribution in bipartite planar maps: applications to the Ising model. arXiv:math. CO/0211070 (2002).
-
(2002)
-
-
BOUSQUET-MELOU, M.1
SCHAEFFER, G.2
-
45
-
-
0010015505
-
Limiting eigenvalue distribution of random matrices with correlated entries
-
BOUTET DE MONVEL, A., KHORUNZHY, A., AND VASILCHUK, V. Limiting eigenvalue distribution of random matrices with correlated entries. Markov Process. Related Fields 2, 4 (1996), 607-636.
-
(1996)
Markov Process. Related Fields
, vol.2
, Issue.4
, pp. 607-636
-
-
BOUTET DE MONVEL, A.1
KHORUNZHY, A.2
VASILCHUK, V.3
-
46
-
-
0037175454
-
Census of planar maps: From the one-matrix model solution to a combinatorial proof
-
BOUTTIER, J., DI FRANCESCO, P., AND CLUTTER, E. Census of planar maps: from the one-matrix model solution to a combinatorial proof. Nuclear Phys. B 645, 3 (2002), 477-499.
-
(2002)
Nuclear Phys. B
, vol.645
, Issue.3
, pp. 477-499
-
-
BOUTTIER, J.1
DI FRANCESCO, P.2
CLUTTER, E.3
-
47
-
-
49549132663
-
On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
-
BRASCAMP, H. J., AND LIEB, E. H. On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Functional Analysis 22, 4 (1976), 366-389.
-
(1976)
J. Functional Analysis
, vol.22
, Issue.4
, pp. 366-389
-
-
BRASCAMP, H.J.1
LIEB, E.H.2
-
48
-
-
84990623199
-
Polar factorization and monotone rearrangement of vector-valued functions
-
BRENIER, Y. Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44, 4 (1991), 375-417.
-
(1991)
Comm. Pure Appl. Math
, vol.44
, Issue.4
, pp. 375-417
-
-
BRENIER, Y.1
-
49
-
-
0038610844
-
An extension of the HarishChandra-Itzykson-Zuber integral
-
BRÉZIN, E., AND HIKAMI, S. An extension of the HarishChandra-Itzykson-Zuber integral. Comm. Math. Phys. 235, 1 (2003), 125-137.
-
(2003)
Comm. Math. Phys
, vol.235
, Issue.1
, pp. 125-137
-
-
BRÉZIN, E.1
HIKAMI, S.2
-
50
-
-
23044497283
-
Planar diagrams
-
BRÉZIN, E., ITZYKSON, C., PARISI, G., AND ZIJBER, J. B. Planar diagrams. Comm. Math. Phys. 59, 1 (1978), 35-51.
-
(1978)
Comm. Math. Phys
, vol.59
, Issue.1
, pp. 35-51
-
-
BRÉZIN, E.1
ITZYKSON, C.2
PARISI, G.3
ZIJBER, J.B.4
-
51
-
-
0003682573
-
-
AND, Eds, World Scientific Publishing Co. Inc, River Edge, NJ, From spin systems to 2-dimensional gravity
-
BRÉZIN, É., AND WADIA, S. R., Eds. The large N expansion in quantum field theory and statistical physics. World Scientific Publishing Co. Inc., River Edge, NJ, 1993. From spin systems to 2-dimensional gravity.
-
(1993)
The large N expansion in quantum field theory and statistical physics
-
-
-
52
-
-
3042671100
-
Wishart processes
-
BRU, M.-F. Wishart processes. J. Theoret. Probab. 4, 4 (1991), 725-751.
-
(1991)
J. Theoret. Probab
, vol.4
, Issue.4
, pp. 725-751
-
-
BRU, M.-F.1
-
53
-
-
33644950826
-
Spectral measure of large random Hankel, Markov and Toeplitz matrices
-
BRYC, W., DEMBO, A., AND JIANG, T. Spectral measure of large random Hankel, Markov and Toeplitz matrices. Ann. Probab. 34, 1 (2006), 1-38.
-
(2006)
Ann. Probab
, vol.34
, Issue.1
, pp. 1-38
-
-
BRYC, W.1
DEMBO, A.2
JIANG, T.3
-
54
-
-
0042835445
-
Fluctuations de la loi empirique de grandes matrices aléatoires.
-
CABANAL-DUVILLARD, T. Fluctuations de la loi empirique de grandes matrices aléatoires. Ann. Inst. H. Poincaré Probab. Statist. 37, 3 (2001), 373-402.
-
(2001)
Ann. Inst. H. Poincaré Probab. Statist
, vol.37
, Issue.3
, pp. 373-402
-
-
CABANAL-DUVILLARD, T.1
-
55
-
-
0039246939
-
Large deviations upper bounds for the laws of matrix-valued processes and non-communicative entropies
-
CABANAL DUVILLARD, T., AND GUIONNET, A. Large deviations upper bounds for the laws of matrix-valued processes and non-communicative entropies. Ann. Probab. 29, 3 (2001), 1205-1261.
-
(2001)
Ann. Probab
, vol.29
, Issue.3
, pp. 1205-1261
-
-
CABANAL DUVILLARD, T.1
GUIONNET, A.2
-
56
-
-
0037466063
-
Discussions around Voic-ulescu's free entropies
-
CABANAL-DUVILLARD, T., AND GUIONNET, A. Discussions around Voic-ulescu's free entropies. Adv. Math. 174, 2 (2003), 167-226.
-
(2003)
Adv. Math
, vol.174
, Issue.2
, pp. 167-226
-
-
CABANAL-DUVILLARD, T.1
GUIONNET, A.2
-
57
-
-
84990563964
-
Boundary regularity of maps with convex potentials
-
CAFFARELLI, L. A. Boundary regularity of maps with convex potentials. Comm. Pure Appl. Math. 45, 9 (1992), 1141-1151.
-
(1992)
Comm. Pure Appl. Math
, vol.45
, Issue.9
, pp. 1141-1151
-
-
CAFFARELLI, L.A.1
-
58
-
-
84968482174
-
The regularity of mappings with a convex potential
-
CAFFARELLI, L. A. The regularity of mappings with a convex potential. J. Amer. Math. Soc. 5, 1 (1992), 99-104.
-
(1992)
J. Amer. Math. Soc
, vol.5
, Issue.1
, pp. 99-104
-
-
CAFFARELLI, L.A.1
-
59
-
-
0034343125
-
Monotonicity properties of optimal transportation and the FKG and related inequalities
-
CAFFARELLI, L. A. Monotonicity properties of optimal transportation and the FKG and related inequalities. Comm. Math. Phys. 214, 3 (2000), 547-563.
-
(2000)
Comm. Math. Phys
, vol.214
, Issue.3
, pp. 547-563
-
-
CAFFARELLI, L.A.1
-
60
-
-
0002123911
-
A method of integration over matrix variables. II
-
CHADHA, S., MAHOUX, G., AND MEHTA, M. L. A method of integration over matrix variables. II. J. Phys. A 14, 3 (1981), 579-586.
-
(1981)
J. Phys. A
, vol.14
, Issue.3
, pp. 579-586
-
-
CHADHA, S.1
MAHOUX, G.2
MEHTA, M.L.3
-
61
-
-
0010949665
-
The Wigner semi-circle law and eigenvalues of matrix-valued diffusions
-
CHAN, T. The Wigner semi-circle law and eigenvalues of matrix-valued diffusions. Probab. Theory Related Fields 93, 2 (1992), 249-272.
-
(1992)
Probab. Theory Related Fields
, vol.93
, Issue.2
, pp. 249-272
-
-
CHAN, T.1
-
62
-
-
0842346773
-
Random planar lattices and integrated super Brownian excursion
-
CHASSAING, P., AND SCHAEFFER, G. Random planar lattices and integrated super Brownian excursion. Probab. Theory Related Fields 128, 2 (2004), 161-212.
-
(2004)
Probab. Theory Related Fields
, vol.128
, Issue.2
, pp. 161-212
-
-
CHASSAING, P.1
SCHAEFFER, G.2
-
63
-
-
33947318684
-
Concentration of Haar measures, with an application to random matrices
-
CHATTERJEE, S. Concentration of Haar measures, with an application to random matrices. J. Funct. Anal. 245, 2 (2007), 379-389.
-
(2007)
J. Funct. Anal
, vol.245
, Issue.2
, pp. 379-389
-
-
CHATTERJEE, S.1
-
64
-
-
4243762764
-
Theory of levy matrices
-
CIZEAU, P., AND BOUCHAUD, J.-P. Theory of levy matrices. Physical Review E 50, 3 (1994), 1810-1822.
-
(1994)
Physical Review E
, vol.50
, Issue.3
, pp. 1810-1822
-
-
CIZEAU, P.1
BOUCHAUD, J.-P.2
-
65
-
-
0038239559
-
Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability
-
COLLINS, B. Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Int. Math. Res. Not., 17 (2003), 953-982.
-
(2003)
Int. Math. Res. Not
, vol.17
, pp. 953-982
-
-
COLLINS, B.1
-
67
-
-
33847316956
-
New scaling of Itzykson-Zuber integrals
-
COLLINS, B., AND ŚNIADY, P. New scaling of Itzykson-Zuber integrals. Ann. Inst. H. Poincaré Probab. Statist. 43, 2 (2007), 139-146.
-
(2007)
Ann. Inst. H. Poincaré Probab. Statist
, vol.43
, Issue.2
, pp. 139-146
-
-
COLLINS, B.1
ŚNIADY, P.2
-
69
-
-
0042070742
-
Planar maps are well labeled trees
-
CORI, R., AND VAUQUELIN, B. Planar maps are well labeled trees. Canad. J. Math. 33, 5 (1981), 1023-1042.
-
(1981)
Canad. J. Math
, vol.33
, Issue.5
, pp. 1023-1042
-
-
CORI, R.1
VAUQUELIN, B.2
-
70
-
-
0004099774
-
Two dimensional quantum gravity and random surfaces
-
World Scientific
-
GROSS, D., PIRAN, T., AND WEINBERG, S. Two dimensional quantum gravity and random surfaces. Jerusalem winter school, World Scientific (1991).
-
(1991)
Jerusalem winter school
-
-
GROSS, D.1
PIRAN, T.2
WEINBERG, S.3
-
71
-
-
34247509776
-
Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices
-
DEIFT, P., AND GIOEV, D. Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices. Comm. Pure Appl. Math. 60, 6 (2007), 867-910.
-
(2007)
Comm. Pure Appl. Math
, vol.60
, Issue.6
, pp. 867-910
-
-
DEIFT, P.1
GIOEV, D.2
-
72
-
-
0000743268
-
New results on the equilibrium measure for logarithmic potentials in the presence of an external field
-
DEIFT, P., KRIECHERBAUER, T., AND MCLAUGHLIN, K. T.-R. New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory 95, 3 (1998), 388-475.
-
(1998)
J. Approx. Theory
, vol.95
, Issue.3
, pp. 388-475
-
-
DEIFT, P.1
KRIECHERBAUER, T.2
MCLAUGHLIN, K.T.-R.3
-
73
-
-
0003346458
-
Orthogonal polynomials and random matrices: A Riemann-Hilbert approach
-
of, New York University Courant Institute of Mathematical Sciences, New York
-
DEIFT, P. A. Orthogonal polynomials and random matrices: a Riemann-Hilbert approach, vol. 3 of Courant Lecture Notes in Mathematics. New York University Courant Institute of Mathematical Sciences, New York, 1999.
-
(1999)
Courant Lecture Notes in Mathematics
, vol.3
-
-
DEIFT, P.A.1
-
74
-
-
85009421754
-
-
DEMBO, A., AND ZEITOUNI, O. Large deviations and applications. In Handbook of stochastic analysis and applications, 163 of Statist. Textbooks Monogr. Dekker, New York, 2002, pp. 361-416.
-
DEMBO, A., AND ZEITOUNI, O. Large deviations and applications. In Handbook of stochastic analysis and applications, vol. 163 of Statist. Textbooks Monogr. Dekker, New York, 2002, pp. 361-416.
-
-
-
-
75
-
-
0003341571
-
Large deviations
-
of, Academic Press Inc, Boston, MA
-
DEUSCHEL, J.-D., AND STROOCK, D. W. Large deviations, vol. 137 of Pure and Applied Mathematics. Academic Press Inc., Boston, MA, 1989.
-
(1989)
Pure and Applied Mathematics
, vol.137
-
-
DEUSCHEL, J.-D.1
STROOCK, D.W.2
-
77
-
-
0000845272
-
A generating function for fatgraphs
-
DI FRANCESCO, P., AND ITZYKSON, C. A generating function for fatgraphs. Ann. Inst. H. Poincaré Phys. Théor. 59, 2 (1998), 117-139.
-
(1998)
Ann. Inst. H. Poincaré Phys. Théor
, vol.59
, Issue.2
, pp. 117-139
-
-
DI FRANCESCO, P.1
ITZYKSON, C.2
-
78
-
-
0040393258
-
2d gravity and random matrices
-
DI FRANCESCO, P., GINSPARG, P., AND ZINN-JUSTIN, J. 2d gravity and random matrices. Phys. Rep., 254 (1995).
-
(1995)
Phys. Rep
, vol.254
-
-
DI FRANCESCO, P.1
GINSPARG, P.2
ZINN-JUSTIN, J.3
-
79
-
-
0037064452
-
On geometry and matrix models
-
DIJKGRAAF, R., AND VAFA, C. On geometry and matrix models. Nuclear Phys. B 644, 1-2 (2002), 21-39.
-
(2002)
Nuclear Phys. B
, vol.644
, Issue.1-2
, pp. 21-39
-
-
DIJKGRAAF, R.1
VAFA, C.2
-
81
-
-
0036850051
-
Matrix models for beta ensembles
-
DUMITRIU, I., AND EDELMAN, A. Matrix models for beta ensembles. J. Math. Phys. 43, 11 (2002), 5830-5847.
-
(2002)
J. Math. Phys
, vol.43
, Issue.11
, pp. 5830-5847
-
-
DUMITRIU, I.1
EDELMAN, A.2
-
82
-
-
33745683206
-
J. Math. Phys. 47
-
6 2006, 063302, 36
-
DUMITRIU, I., AND EDELMAN, A. Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models. J. Math. Phys. 47, 6 (2006), 063302, 36.
-
-
-
DUMITRIU, I.1
EDELMAN, A.2
-
83
-
-
0003405647
-
-
Interscience Publishers Inc, New York
-
DUNFORD, N., AND SCHWARTZ, J. T. Linear operators, Part I. Interscience Publishers Inc., New York, 1958.
-
(1958)
Linear operators, Part I
-
-
DUNFORD, N.1
SCHWARTZ, J.T.2
-
84
-
-
38249006458
-
On certain free product factors via an extended matrix model
-
DYKEMA, K. On certain free product factors via an extended matrix model. J. Funct. Anal. 112, 1 (1998), 31-60.
-
(1998)
J. Funct. Anal
, vol.112
, Issue.1
, pp. 31-60
-
-
DYKEMA, K.1
-
85
-
-
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
-
86
-
-
0038239560
-
Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration
-
ERCOLANI, N. M., AND MCLAUGHLIN, K. D. T.-R. Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration. Int. Math. Res. Not., 14 (2003), 755-820.
-
(2003)
Int. Math. Res. Not
, vol.14
, pp. 755-820
-
-
ERCOLANI, N.M.1
MCLAUGHLIN, K.D.T.-R.2
-
87
-
-
23044451814
-
Master loop equations, free energy and correlations for the chain of matrices
-
electronic, 45 pp
-
EYNARD, B. Master loop equations, free energy and correlations for the chain of matrices. J. High Energy Phys., 11 (2003), 018, 45 pp. (electronic).
-
(2003)
J. High Energy Phys
, vol.11
, Issue.18
-
-
EYNARD, B.1
-
88
-
-
18244384974
-
2-correetion to free energy in Hermitian two-matrix model
-
2-correetion to free energy in Hermitian two-matrix model. Lett. Math. Phys. 71, 3 (2005), 199-207.
-
(2005)
Lett. Math. Phys
, vol.71
, Issue.3
, pp. 199-207
-
-
EYNARD, B.1
KOKOTOV, A.2
KOROTKIN, D.3
-
89
-
-
36448946474
-
Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups
-
FERRER, A. P., EYNARD, B., DI FRANCESCO, P., AND ZUBER, J.-B. Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups. J. Stat. Phys. 129, 5-6 (2007), 885-935.
-
(2007)
J. Stat. Phys
, vol.129
, Issue.5-6
, pp. 885-935
-
-
FERRER, A.P.1
EYNARD, B.2
DI FRANCESCO, P.3
ZUBER, J.-B.4
-
90
-
-
4244120344
-
An entropy approach to the time reversal of diffusion processes
-
Stochastic differential systems Marseille-Luminy, 1984, of, Springer, Berlin
-
FÖLLMER, H. An entropy approach to the time reversal of diffusion processes. In Stochastic differential systems (Marseille-Luminy, 1984), vol. 69 of Lecture Notes in Control and Inform. Sci. Springer, Berlin, 1985, pp. 156-163.
-
(1985)
Lecture Notes in Control and Inform. Sci
, vol.69
, pp. 156-163
-
-
FÖLLMER, H.1
-
91
-
-
2542495909
-
Uniqueness for a weak nonlinear evolution equation and large deviations for diffusing particles with electrostatic repulsion
-
FONTBONA, J. Uniqueness for a weak nonlinear evolution equation and large deviations for diffusing particles with electrostatic repulsion. Stochastic Process. Appl. 112, 1 (2004), 119-144.
-
(2004)
Stochastic Process. Appl
, vol.112
, Issue.1
, pp. 119-144
-
-
FONTBONA, J.1
-
92
-
-
26844441569
-
Concentration of permanent estimators for certain large matrices
-
FRIEDLAND, S., RIDER, B., AND ZEITOUNI, O. Concentration of permanent estimators for certain large matrices. Ann. Appl. Probab. 14, 3 (2004), 1559-1576.
-
(2004)
Ann. Appl. Probab
, vol.14
, Issue.3
, pp. 1559-1576
-
-
FRIEDLAND, S.1
RIDER, B.2
ZEITOUNI, O.3
-
93
-
-
51249182622
-
The eigenvalues of random symmetric matrices
-
FÜREDI, Z., AND KOMLÓS, J. The eigenvalues of random symmetric matrices. Combinatorial 1, 3 (1981), 233-241.
-
(1981)
Combinatorial
, vol.1
, Issue.3
, pp. 233-241
-
-
FÜREDI, Z.1
KOMLÓS, J.2
-
94
-
-
26444510189
-
Modified logarithmic Sobolev inequalities and transportation inequalities
-
GENTIL, I., GUILLIN, A., AND MICLO, L. Modified logarithmic Sobolev inequalities and transportation inequalities. Probab. Theory Related Fields 133, 3 (2005), 409-436.
-
(2005)
Probab. Theory Related Fields
, vol.133
, Issue.3
, pp. 409-436
-
-
GENTIL, I.1
GUILLIN, A.2
MICLO, L.3
-
95
-
-
0001703129
-
Statistical ensembles of complex, quaternion, and real matrices
-
GINIBRE, J. Statistical ensembles of complex, quaternion, and real matrices. J. Mathematical Phys. 6 (1965), 440-449.
-
(1965)
J. Mathematical Phys
, vol.6
, pp. 440-449
-
-
GINIBRE, J.1
-
96
-
-
33845670038
-
The rate of convergence for spectra of GUE and LUE matrix ensembles
-
electronic
-
GÖTZE, F., AND TIKHOMIROV, A. The rate of convergence for spectra of GUE and LUE matrix ensembles. Cent. Eur. J. Math. 3, 4 (2005), 666-704 (electronic).
-
(2005)
Cent. Eur. J. Math
, vol.3
, Issue.4
, pp. 666-704
-
-
GÖTZE, F.1
TIKHOMIROV, A.2
-
97
-
-
0003769502
-
Combinatorial enumeration
-
A Wiley-Interscience Publication. John Wiley & Sons Inc, New York, With a foreword by Gian-Carlo Rota
-
GOULDEN, I. P., AND JACKSON, D. M. Combinatorial enumeration. A Wiley-Interscience Publication. John Wiley & Sons Inc., New York, 1983. With a foreword by Gian-Carlo Rota, Wiley-Interscience Series in Discrete Mathematics.
-
(1983)
Wiley-Interscience Series in Discrete Mathematics
-
-
GOULDEN, I.P.1
JACKSON, D.M.2
-
98
-
-
0009307680
-
Some properties of large-N two-dimensional Yang-Mills theory
-
GROSS, D. J., AND MATYTSIN, A. Some properties of large-N two-dimensional Yang-Mills theory. Nuclear Phys. B 437, 3 (1995), 541-584.
-
(1995)
Nuclear Phys. B
, vol.437
, Issue.3
, pp. 541-584
-
-
GROSS, D.J.1
MATYTSIN, A.2
-
99
-
-
85009367823
-
-
GROSS, D. J., PIRAN, T., AND WEINBERG, S., Eds. Two-dimensional quantum gravity and random, surfaces (River Edge, NJ, 1992), 8 of Jerusalem Winter School for Theoretical Physics, World Scientific Publishing Co. Inc.
-
GROSS, D. J., PIRAN, T., AND WEINBERG, S., Eds. Two-dimensional quantum gravity and random, surfaces (River Edge, NJ, 1992), vol. 8 of Jerusalem Winter School for Theoretical Physics, World Scientific Publishing Co. Inc.
-
-
-
-
100
-
-
0036206682
-
Large deviations upper bounds and central limit theorems for non-commutative functional of Gaussian large random matrices
-
GUIONNET, A. Large deviations upper bounds and central limit theorems for non-commutative functional of Gaussian large random matrices. Ann. Inst. II. Poincaré Probab. Statist. 38, 3 (2002), 341-384.
-
(2002)
Ann. Inst. II. Poincaré Probab. Statist
, vol.38
, Issue.3
, pp. 341-384
-
-
GUIONNET, A.1
-
101
-
-
1142276422
-
First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models
-
GUIONNET, A. First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models. Comm. Math. Phys. 244, 3 (2004), 527-569.
-
(2004)
Comm. Math. Phys
, vol.244
, Issue.3
, pp. 527-569
-
-
GUIONNET, A.1
-
102
-
-
23744463869
-
Character expansion method for the first order asymptotics of a matrix integral
-
GUIONNET, A., AND MAÏDA, M. Character expansion method for the first order asymptotics of a matrix integral. Probab. Theory Related Fields 132, 4 (2005), 539-578.
-
(2005)
Probab. Theory Related Fields
, vol.132
, Issue.4
, pp. 539-578
-
-
GUIONNET, A.1
MAÏDA, M.2
-
103
-
-
16844362196
-
A Fourier view on the it-transform and related asymptotics of spherical integrals
-
GUIONNET, A., AND MAÏDA, M. A Fourier view on the it-transform and related asymptotics of spherical integrals. J. Funct. Anal. 222, 2 (2005), 435-490.
-
(2005)
J. Funct. Anal
, vol.222
, Issue.2
, pp. 435-490
-
-
GUIONNET, A.1
MAÏDA, M.2
-
105
-
-
51949086516
-
Second order asymptotics for matrix models
-
GUIONNET, A., AND MAUREL-SEGALA, E. Second order asymptotics for matrix models. Ann. Probab. 35, 6 (2007), 2160-2212.
-
(2007)
Ann. Probab
, vol.35
, Issue.6
, pp. 2160-2212
-
-
GUIONNET, A.1
MAUREL-SEGALA, E.2
-
106
-
-
85009352601
-
Free diffusions and matrix models with strictly convex interaction
-
GUIONNET, A., AND SHLYAKHTENKO, D. Free diffusions and matrix models with strictly convex interaction. http://arxiv.org/abs/math/0701787 (2007).
-
(2007)
-
-
GUIONNET, A.1
SHLYAKHTENKO, D.2
-
107
-
-
0347466412
-
Lectures on logarithmic Sobolev inequalities
-
Séminaire de Probabilités, XXXVI, of, Springer, Berlin
-
GUIONNET, A., AND ZEGARLINSKI, B. Lectures on logarithmic Sobolev inequalities. In Séminaire de Probabilités, XXXVI, vol. 1801 of Lecture Notes in Math. Springer, Berlin, 2003, pp. 1-134.
-
(2003)
Lecture Notes in Math
, vol.1801
, pp. 1-134
-
-
GUIONNET, A.1
ZEGARLINSKI, B.2
-
108
-
-
0001226135
-
Concentration of the spectral measure for large matrices
-
electronic
-
GUIONNET, A., AND ZEITOUNI, O. Concentration of the spectral measure for large matrices. Electron. Comm. Probab. 5 (2000), 119-136 (electronic).
-
(2000)
Electron. Comm. Probab
, vol.5
, pp. 119-136
-
-
GUIONNET, A.1
ZEITOUNI, O.2
-
109
-
-
0036472347
-
Large deviations asymptotics for spherical integrals
-
GUIONNET, A., AND ZEITOUNI, O. Large deviations asymptotics for spherical integrals. J. Funct. Anal. 188, 2 (2002), 461-515.
-
(2002)
J. Funct. Anal
, vol.188
, Issue.2
, pp. 461-515
-
-
GUIONNET, A.1
ZEITOUNI, O.2
-
110
-
-
0036472347
-
-
GUIONNET, A., AND ZEITOUNI, O. Addendum to: Large deviations asymptotics for spherical integrals [J. Funct. Anal. 188 (2002), no. 2, 461-515; mr 1883414]. J. Funct. Anal. 216, 1 (2004), 230-241.
-
GUIONNET, A., AND ZEITOUNI, O. Addendum to: "Large deviations asymptotics for spherical integrals" [J. Funct. Anal. 188 (2002), no. 2, 461-515; mr 1883414]. J. Funct. Anal. 216, 1 (2004), 230-241.
-
-
-
-
112
-
-
25144519712
-
Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
-
HAMMOND, C., AND MILLER, S. J. Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices. J. Theoret. Probab. 18, 3 (2005), 537-566.
-
(2005)
J. Theoret. Probab
, vol.18
, Issue.3
, pp. 537-566
-
-
HAMMOND, C.1
MILLER, S.J.2
-
113
-
-
0000430358
-
The Euler characteristic of the moduli space of curves
-
HARER, J., AND ZAGIER, D. The Euler characteristic of the moduli space of curves. Invent. Math. 85, 3 (1986), 457-485.
-
(1986)
Invent. Math
, vol.85
, Issue.3
, pp. 457-485
-
-
HARER, J.1
ZAGIER, D.2
-
114
-
-
8744252606
-
A convex/log-concave correlation inequality for Gaussian measure and an application to abstract Wiener spaces
-
HARGÉ, G. A convex/log-concave correlation inequality for Gaussian measure and an application to abstract Wiener spaces. Probab. Theory Related Fields 130, 3 (2004), 415-440.
-
(2004)
Probab. Theory Related Fields
, vol.130
, Issue.3
, pp. 415-440
-
-
HARGÉ, G.1
-
115
-
-
0039590795
-
Fourier transforms on a semisimple Lie algebra. I
-
HARISH-CHANDRA. Fourier transforms on a semisimple Lie algebra. I. Amer. J. Math. 79 (1957), 193-257.
-
(1957)
Amer. J. Math
, vol.79
, pp. 193-257
-
-
HARISH-CHANDRA1
-
116
-
-
0039590795
-
Fourier transforms on a semisimple Lie algebra. II
-
HARISH-CHANDRA. Fourier transforms on a semisimple Lie algebra. II. Amer. J. Math. 79 (1957), 653-686.
-
(1957)
Amer. J. Math
, vol.79
, pp. 653-686
-
-
HARISH-CHANDRA1
-
117
-
-
0005141929
-
The semicircle law, free random variables and entropy
-
of, American Mathematical Society, Providence, RI
-
HIAI, F., AND PETZ, D. The semicircle law, free random variables and entropy, vol. 77 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 2000.
-
(2000)
Mathematical Surveys and Monographs
, vol.77
-
-
HIAI, F.1
PETZ, D.2
-
118
-
-
5644231165
-
Free transportation cost inequalities via random matrix approximation
-
HIAI, F., PETZ, D., AND UEDA, Y. Free transportation cost inequalities via random matrix approximation. Probab. Theory Related Fields 130, 2 (2004), 199-221.
-
(2004)
Probab. Theory Related Fields
, vol.130
, Issue.2
, pp. 199-221
-
-
HIAI, F.1
PETZ, D.2
UEDA, Y.3
-
119
-
-
33750042661
-
Determinantal processes and independence
-
electronic
-
HOUGH, J. B., KRISHNAPUR, M., PERES, Y., AND VIRÁG, B. Determinantal processes and independence. Probab. Surv. 3 (2006), 206-229 (electronic).
-
(2006)
Probab. Surv
, vol.3
, pp. 206-229
-
-
HOUGH, J.B.1
KRISHNAPUR, M.2
PERES, Y.3
VIRÁG, B.4
-
120
-
-
0001459956
-
On fluctuations of eigenvalues of random Hermitian matrices
-
JOHANSSON, K. On fluctuations of eigenvalues of random Hermitian matrices. Duke Math. J. 91, 1 (1998), 151-204.
-
(1998)
Duke Math. J
, vol.91
, Issue.1
, pp. 151-204
-
-
JOHANSSON, K.1
-
121
-
-
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, 3 (2001), 683-705.
-
(2001)
Comm. Math. Phys
, vol.215
, Issue.3
, pp. 683-705
-
-
JOHANSSON, K.1
-
122
-
-
0003242243
-
Brownian motion and stochastic calculus
-
second ed, of, Springer-Verlag, New York
-
KARATZAS, I., AND SHREVE, S. E. Brownian motion and stochastic calculus, second ed., vol. 113 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1991.
-
(1991)
Graduate Texts in Mathematics
, vol.113
-
-
KARATZAS, I.1
SHREVE, S.E.2
-
123
-
-
85009352602
-
-
KAZAKOV, V. Solvable matrix models. In Random matrix models and their applications, 40 of Math. Sci. Res. Inst. Publ. Cambridge Univ. Press, Cambridge, 2001, pp. 271-283.
-
KAZAKOV, V. Solvable matrix models. In Random matrix models and their applications, vol. 40 of Math. Sci. Res. Inst. Publ. Cambridge Univ. Press, Cambridge, 2001, pp. 271-283.
-
-
-
-
124
-
-
0001021268
-
Character expansion methods for matrix models of dually weighted graphs
-
KAZAKOV, V. A., STAUDACHER, M., AND WYNTER, T. Character expansion methods for matrix models of dually weighted graphs. Comm. Math. Phys. 177, 2 (1996), 451-468.
-
(1996)
Comm. Math. Phys
, vol.177
, Issue.2
, pp. 451-468
-
-
KAZAKOV, V.A.1
STAUDACHER, M.2
WYNTER, T.3
-
125
-
-
0033519110
-
Two-matrix model with ABAB interaction
-
KAZAKOV, V. A., AND ZINN-JUSTIN, P. Two-matrix model with ABAB interaction. Nuclear Phys. B 546, 3 (1999), 647-668.
-
(1999)
Nuclear Phys. B
, vol.546
, Issue.3
, pp. 647-668
-
-
KAZAKOV, V.A.1
ZINN-JUSTIN, P.2
-
126
-
-
85009407995
-
-
KEATING, J. P. Random matrices and number theory. In Applications of random matrices in physics, 221 of NATO Sci. Ser. II Math. Phys. Chem. Springer, Dordrecht, 2006, pp. 1-32.
-
KEATING, J. P. Random matrices and number theory. In Applications of random matrices in physics, vol. 221 of NATO Sci. Ser. II Math. Phys. Chem. Springer, Dordrecht, 2006, pp. 1-32.
-
-
-
-
127
-
-
36749090013
-
Limit shapes and the complex Burgers equation
-
KENYON, R., AND OKOUNKOV, A. Limit shapes and the complex Burgers equation. Acta Math. 199, 2 (2007), 263-302.
-
(2007)
Acta Math
, vol.199
, Issue.2
, pp. 263-302
-
-
KENYON, R.1
OKOUNKOV, A.2
-
128
-
-
33748693121
-
Dimers and amoebae
-
KENYON, R., OKOUNKOV, A., AND SHEFFIELD, S. Dimers and amoebae. Ann. of Math. (2) 163, 3 (2006), 1019-1056.
-
(2006)
Ann. of Math. (2)
, vol.163
, Issue.3
, pp. 1019-1056
-
-
KENYON, R.1
OKOUNKOV, A.2
SHEFFIELD, S.3
-
129
-
-
0003237180
-
Scaling limits of interacting particle systems
-
of, Springer-Verlag, Berlin
-
KIPNIS, C., AND LANDIM, C. Scaling limits of interacting particle systems, vol. 320 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1999.
-
(1999)
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
, vol.320
-
-
KIPNIS, C.1
LANDIM, C.2
-
130
-
-
0043134852
-
Large deviations from the hydrodynamical limit for a system of independent Brownian particles
-
KIPNIS, C., AND OLLA, S. Large deviations from the hydrodynamical limit for a system of independent Brownian particles. Stochastics Stochastics Rep. 33, 1-2 (1990), 17-25.
-
(1990)
Stochastics Stochastics Rep
, vol.33
, Issue.1-2
, pp. 17-25
-
-
KIPNIS, C.1
OLLA, S.2
-
131
-
-
84990617818
-
Hydrodynamics and large deviation for simple exclusion processes
-
KIPNIS, C., OLLA, S., AND VARADHAN, S. R. S. Hydrodynamics and large deviation for simple exclusion processes. Comm. Pure Appl. Math. 42, 2 (1989), 115-137.
-
(1989)
Comm. Pure Appl. Math
, vol.42
, Issue.2
, pp. 115-137
-
-
KIPNIS, C.1
OLLA, S.2
VARADHAN, S.R.S.3
-
132
-
-
0001792752
-
Intersection theory on the moduli space of curves and the matrix Airy function
-
KONTSEVICH, M. Intersection theory on the moduli space of curves and the matrix Airy function. Comm. Math. Phys. 147, 1 (1992), 1-23.
-
(1992)
Comm. Math. Phys
, vol.147
, Issue.1
, pp. 1-23
-
-
KONTSEVICH, M.1
-
133
-
-
36749002585
-
Graphs on surfaces and their applications
-
of, Springer-Verlag, Berlin, With an appendix by Don B. Zagier, Low-Dimensional Topology, II
-
LANDO, S. K., AND ZVONKIN, A. K. Graphs on surfaces and their applications, vol. 141 of Encyclopaedia of Mathematical Sciences. Springer-Verlag, Berlin, 2004. With an appendix by Don B. Zagier, Low-Dimensional Topology, II.
-
(2004)
Encyclopaedia of Mathematical Sciences
, vol.141
-
-
LANDO, S.K.1
ZVONKIN, A.K.2
-
134
-
-
34047127341
-
Mean field games
-
LASRY, J.-M., AND LIONS, P.-L. Mean field games. Jpn. J. Math. 2, 1 (2007), 229-260.
-
(2007)
Jpn. J. Math
, vol.2
, Issue.1
, pp. 229-260
-
-
LASRY, J.-M.1
LIONS, P.-L.2
-
135
-
-
34548064980
-
The topological structure of scaling limits of large planar maps
-
LE GALL, J.-F. The topological structure of scaling limits of large planar maps. Invent, Math. 169, 3 (2007), 621-670.
-
(2007)
Invent, Math
, vol.169
, Issue.3
, pp. 621-670
-
-
LE GALL, J.-F.1
-
136
-
-
0009337398
-
Remarks on logarithmic Sobolev constants, exponential integra-bility and bounds on the diameter
-
LEDOUX, M. Remarks on logarithmic Sobolev constants, exponential integra-bility and bounds on the diameter. J. Math. Kyoto Univ. 35, 2 (1995), 211-220.
-
(1995)
J. Math. Kyoto Univ
, vol.35
, Issue.2
, pp. 211-220
-
-
LEDOUX, M.1
-
137
-
-
0000639280
-
Isoperimetry and Gaussian analysis
-
Lectures on probability theory and statistics Saint-Flour, 1994, of, Springer, Berlin
-
LEDOUX, M. Isoperimetry and Gaussian analysis. In Lectures on probability theory and statistics (Saint-Flour, 1994), vol. 1648 of Lecture Notes in Math. Springer, Berlin, 1996, pp. 165-294.
-
(1996)
Lecture Notes in Math
, vol.1648
, pp. 165-294
-
-
LEDOUX, M.1
-
138
-
-
0012942540
-
The concentration of measure phenomenon
-
of, American Mathematical Society, Providence, RI
-
LEDOUX, M. The concentration of measure phenomenon, vol. 89 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 2001.
-
(2001)
Mathematical Surveys and Monographs
, vol.89
-
-
LEDOUX, M.1
-
139
-
-
10644247876
-
A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices
-
Séminaire de Probabilités XXXVII, of, Springer, Berlin
-
LEDOUX, M. A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. In Séminaire de Probabilités XXXVII, vol. 1832 of Lecture Notes in Math. Springer, Berlin, 2003, pp. 360-369.
-
(2003)
Lecture Notes in Math
, vol.1832
, pp. 360-369
-
-
LEDOUX, M.1
-
140
-
-
85009367815
-
-
LEDOUX, M. Spectral gap, logarithmic Sobolev constant, and geometric bounds. In Surveys in differential geometry. IX, Surv. Differ. Geom., IX. Int. Press, Somerville, MA, 2004, pp. 219-240.
-
LEDOUX, M. Spectral gap, logarithmic Sobolev constant, and geometric bounds. In Surveys in differential geometry. Vol. IX, Surv. Differ. Geom., IX. Int. Press, Somerville, MA, 2004, pp. 219-240.
-
-
-
-
141
-
-
0035800722
-
On the asymptotic behaviour of correlators of multi-cut matrix models
-
LENOBLE, O., AND PASTUR, L. On the asymptotic behaviour of correlators of multi-cut matrix models. J. Phys. A 34, 30 (2001), L409-L415.
-
(2001)
J. Phys. A
, vol.34
, Issue.30
-
-
LENOBLE, O.1
PASTUR, L.2
-
142
-
-
32544455667
-
The reconstruction problem for the Euler-Poisson system in cosmology
-
LOEPER, G. The reconstruction problem for the Euler-Poisson system in cosmology. Arch. Ration. Mech. Anal, 179, 2 (2006), 153-216.
-
(2006)
Arch. Ration. Mech. Anal
, vol.179
, Issue.2
, pp. 153-216
-
-
LOEPER, G.1
-
143
-
-
34548315757
-
Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles
-
electronic
-
MAÏDA, M. Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles. Electron. J. Probab. 12 (2007), 1131-1150 (electronic).
-
(2007)
Electron. J. Probab
, vol.12
, pp. 1131-1150
-
-
MAÏDA, M.1
-
144
-
-
38749135683
-
Invariance principles for random bipartite planar maps
-
MARCKERT, J.-F., AND MIERMONT, G. Invariance principles for random bipartite planar maps. Ann. Probab. 35, 5 (2007), 1642-1705.
-
(2007)
Ann. Probab
, vol.35
, Issue.5
, pp. 1642-1705
-
-
MARCKERT, J.-F.1
MIERMONT, G.2
-
145
-
-
0000263234
-
Distribution for some sets of random matrices
-
MAŘ CENKO, V. A., AND PASTUR, L. A. Distribution for some sets of random matrices. Math. USSR-Sb. (1967), 457-483.
-
(1967)
Math. USSR-Sb
, pp. 457-483
-
-
MAŘ CENKO, V.A.1
PASTUR, L.A.2
-
146
-
-
0000879840
-
On the large-N limit of the Itzykson-Zuber integral
-
MATYTSIN, A. On the large-N limit of the Itzykson-Zuber integral. Nuclear Phys. B 411, 2-3 (1994), 805-820.
-
(1994)
Nuclear Phys. B
, vol.411
, Issue.2-3
, pp. 805-820
-
-
MATYTSIN, A.1
-
147
-
-
0031589480
-
Kosterlitz-Thouless phase transitions on dis-cretized random surfaces
-
MATYTSIN, A., AND ZAUGG, P. Kosterlitz-Thouless phase transitions on dis-cretized random surfaces. Nuclear Phys. B 497, 3 (1997), 658-698.
-
(1997)
Nuclear Phys. B
, vol.497
, Issue.3
, pp. 658-698
-
-
MATYTSIN, A.1
ZAUGG, P.2
-
149
-
-
84974004014
-
Existence and uniqueness of monotone measure-preserving maps
-
MCCANN, R. J. Existence and uniqueness of monotone measure-preserving maps. Duke Math. J. 80, 2 (1995), 309-323.
-
(1995)
Duke Math. J
, vol.80
, Issue.2
, pp. 309-323
-
-
MCCANN, R.J.1
-
150
-
-
85009379730
-
-
MCKEAN, JR., H. P. Stochastic integrals. Probability and Mathematical Statistics, No. 5. Academic Press, New York, 1969.
-
MCKEAN, JR., H. P. Stochastic integrals. Probability and Mathematical Statistics, No. 5. Academic Press, New York, 1969.
-
-
-
-
151
-
-
2942644632
-
Concentration of norms and eigenvalues of random matrices
-
MECKES, M. W. Concentration of norms and eigenvalues of random matrices. J. Funct. Anal. 211, 2 (2004), 508-524.
-
(2004)
J. Funct. Anal
, vol.211
, Issue.2
, pp. 508-524
-
-
MECKES, M.W.1
-
152
-
-
0041958415
-
A method of integration over matrix variables
-
MEHTA, M. L. A method of integration over matrix variables. Comm. Math. Phys. 79, 3 (1981), 327-340.
-
(1981)
Comm. Math. Phys
, vol.79
, Issue.3
, pp. 327-340
-
-
MEHTA, M.L.1
-
153
-
-
85009351195
-
-
MEHTA, M. L. Random matrices, third ed., 142 of Pure and Applied Mathematics (Amsterdam). Elsevier/Academic Press, Amsterdam, 2004.
-
MEHTA, M. L. Random matrices, third ed., vol. 142 of Pure and Applied Mathematics (Amsterdam). Elsevier/Academic Press, Amsterdam, 2004.
-
-
-
-
154
-
-
0742316599
-
A method of integration over matrix variables. III
-
MEHTA, M. L., AND MAHOUX, G. A method of integration over matrix variables. III. Indian J. Pure Appl. Math. 22, 7 (1991), 531-546.
-
(1991)
Indian J. Pure Appl. Math
, vol.22
, Issue.7
, pp. 531-546
-
-
MEHTA, M.L.1
MAHOUX, G.2
-
155
-
-
0003270948
-
Asymptotic theory of finite-dimensional normed spaces
-
of, Springer-Verlag, Berlin, With an appendix by M. Gromov
-
MILMAN, V. D., AND SCHECHTMAN, G. Asymptotic theory of finite-dimensional normed spaces, vol. 1200 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1986. With an appendix by M. Gromov.
-
(1986)
Lecture Notes in Mathematics
, vol.1200
-
-
MILMAN, V.D.1
SCHECHTMAN, G.2
-
156
-
-
23744503731
-
Non-microstates free entropy dimension for groups
-
MINEYEV, I., AND SHLYAKHTENKO, D. Non-microstates free entropy dimension for groups. Geom. Funct. Anal. 15, 2 (2005), 476-490.
-
(2005)
Geom. Funct. Anal
, vol.15
, Issue.2
, pp. 476-490
-
-
MINEYEV, I.1
SHLYAKHTENKO, D.2
-
157
-
-
33645944056
-
Second order freeness and fluctuations of random matrices. I. Gaussian and Wishart matrices and cyclic Fock spaces
-
MINGO, J. A., AND SPEICHER, R. Second order freeness and fluctuations of random matrices. I. Gaussian and Wishart matrices and cyclic Fock spaces. J. Funct. Anal. 235, 1 (2006), 226-270.
-
(2006)
J. Funct. Anal
, vol.235
, Issue.1
, pp. 226-270
-
-
MINGO, J.A.1
SPEICHER, R.2
-
158
-
-
33646751994
-
Notes on non-commutative integration
-
NELSON, E. Notes on non-commutative integration. J. Funct. Anal. 15 (1974), 103-116.
-
(1974)
J. Funct. Anal
, vol.15
, pp. 103-116
-
-
NELSON, E.1
-
159
-
-
34548040313
-
Lectures on the combinatorics of free probability
-
of, Cambridge University Press, Cambridge
-
NICA, A., AND SPEICHER, R. Lectures on the combinatorics of free probability, vol. 335 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge, 2006.
-
(2006)
London Mathematical Society Lecture Note Series
, vol.335
-
-
NICA, A.1
SPEICHER, R.2
-
160
-
-
0542375658
-
Brownian motions of ellipsoids
-
NORRIS, J. R., ROGERS, L. C. G., AND WILLIAMS, D. Brownian motions of ellipsoids. Trans. Amer. Math. Soc. 294, 2 (1986), 757-765.
-
(1986)
Trans. Amer. Math. Soc
, vol.294
, Issue.2
, pp. 757-765
-
-
NORRIS, J.R.1
ROGERS, L.C.G.2
WILLIAMS, D.3
-
161
-
-
0003377901
-
Infinite wedge and random partitions
-
OKOUNKOV, A. Infinite wedge and random partitions. Selecta Math. (N.S.) 7, 1 (2001), 57-81.
-
(2001)
Selecta Math. (N.S.)
, vol.7
, Issue.1
, pp. 57-81
-
-
OKOUNKOV, A.1
-
162
-
-
33750560679
-
J. Math. Phys. 47
-
10 2006, 103303, 22
-
PASTUR, L. Limiting laws of linear eigenvalue statistics for Hermitian matrix models. J. Math. Phys. 47, 10 (2006), 103303, 22.
-
-
-
PASTUR, L.1
-
163
-
-
3042783916
-
On the edge universality of the local eigenvalue statistics of matrix models
-
PASTUR, L., AND SHCHERBINA, M. On the edge universality of the local eigenvalue statistics of matrix models. Mat. Fiz. Anal. Georn. 10, 3 (2003), 335-365.
-
(2003)
Mat. Fiz. Anal. Georn
, vol.10
, Issue.3
, pp. 335-365
-
-
PASTUR, L.1
SHCHERBINA, M.2
-
164
-
-
85009394020
-
-
PASTUR, L. A. Spectral and probabilistic aspects of matrix models. In Algebraic and geometric methods in mathematical physics (Kaciveli, 1993), 19 of Math. Phys. Stud. Kluwer Acad. Publ., Dordrecht, 1996, pp. 207-242.
-
PASTUR, L. A. Spectral and probabilistic aspects of matrix models. In Algebraic and geometric methods in mathematical physics (Kaciveli, 1993), vol. 19 of Math. Phys. Stud. Kluwer Acad. Publ., Dordrecht, 1996, pp. 207-242.
-
-
-
-
165
-
-
85009379729
-
-
PAUWELS, E. J., AND ROGERS, L. C. G. Skew-product decompositions of Brownian motions. In Geometry of random, motion (Ithaca, N. Y., 1987), 73 of Contemp. Math. Amer. Math. Soc., Providence, RI, 1988, pp. 237-262.
-
PAUWELS, E. J., AND ROGERS, L. C. G. Skew-product decompositions of Brownian motions. In Geometry of random, motion (Ithaca, N. Y., 1987), vol. 73 of Contemp. Math. Amer. Math. Soc., Providence, RI, 1988, pp. 237-262.
-
-
-
-
166
-
-
36448958660
-
Wigner random matrices with non-symmetrically distributed entries
-
PÉCHÉ, S., AND SOSHNIKOV, A. Wigner random matrices with non-symmetrically distributed entries. J. Stat. Phys. 129, 5-6 (2007), 857-884.
-
(2007)
J. Stat. Phys
, vol.129
, Issue.5-6
, pp. 857-884
-
-
PÉCHÉ, S.1
SOSHNIKOV, A.2
-
167
-
-
0003216501
-
* -algebras and their automorphism groups
-
of, Academic Press Inc, Harcourt Brace Jovanovich Publishers, London
-
* -algebras and their automorphism groups, vol. 14 of London Mathematical Society Monographs. Academic Press Inc. [Harcourt Brace Jovanovich Publishers], London, 1979.
-
(1979)
London Mathematical Society Monographs
, vol.14
-
-
PEDERSEN, G.K.1
-
168
-
-
85009390706
-
-
REVUZ, D., AND YOR, M. Continuous martingales and Brownian motion, third ed., 293 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1999.
-
REVUZ, D., AND YOR, M. Continuous martingales and Brownian motion, third ed., vol. 293 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1999.
-
-
-
-
169
-
-
33947507360
-
Gaussian fluctuations for non-Hermitian random matrix ensembles
-
RIDER, B., AND SILVERSTEIN, J. W. Gaussian fluctuations for non-Hermitian random matrix ensembles. Ann. Probab. 34, 6 (2006), 2118-2143.
-
(2006)
Ann. Probab
, vol.34
, Issue.6
, pp. 2118-2143
-
-
RIDER, B.1
SILVERSTEIN, J.W.2
-
170
-
-
21144465181
-
Interacting Brownian particles and the Wigner law
-
ROGERS, L. C. G., AND SHI, Z. Interacting Brownian particles and the Wigner law. Probab. Theory Related Fields 95, 4 (1993), 555-570.
-
(1993)
Probab. Theory Related Fields
, vol.95
, Issue.4
, pp. 555-570
-
-
ROGERS, L.C.G.1
SHI, Z.2
-
171
-
-
85009367820
-
-
ROYER, G. An initiation to logarithmic Sobolev inequalities, 14 of SMF/AMS Texts and Monographs. American Mathematical Society, Providence, RI, 2007. Translated from the 1999 French original by Donald Babbitt.
-
ROYER, G. An initiation to logarithmic Sobolev inequalities, vol. 14 of SMF/AMS Texts and Monographs. American Mathematical Society, Providence, RI, 2007. Translated from the 1999 French original by Donald Babbitt.
-
-
-
-
174
-
-
28144459476
-
Universality of the edge distribution of eigenvalues of Wigner random matrices with polynomially decaying distributions of entries
-
RUZMAIKINA, A. Universality of the edge distribution of eigenvalues of Wigner random matrices with polynomially decaying distributions of entries. Comm. Math. Phys. 261, 2 (2006), 277-296.
-
(2006)
Comm. Math. Phys
, vol.261
, Issue.2
, pp. 277-296
-
-
RUZMAIKINA, A.1
-
175
-
-
5344244385
-
The symmetric group
-
second ed, of, Springer-Verlag, New York, Representations, combinatorial algorithms, and symmetric functions
-
SAGAN, B. E. The symmetric group, second ed., vol. 203 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2001. Representations, combinatorial algorithms, and symmetric functions.
-
(2001)
Graduate Texts in Mathematics
, vol.203
-
-
SAGAN, B.E.1
-
176
-
-
13744253226
-
-
SCHAEFFER, G. Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees. Electron. J. Combin. 4, 1 (1997), Research Paper 20, 14 pp. (electronic).
-
SCHAEFFER, G. Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees. Electron. J. Combin. 4, 1 (1997), Research Paper 20, 14 pp. (electronic).
-
-
-
-
177
-
-
77955613405
-
Gaussian fluctuations for random matrices with correlated entries
-
Art. ID rnm047, 36
-
SCHENKER, J., AND SCHULZ-BALDES, H. Gaussian fluctuations for random matrices with correlated entries. Int. Math. Res. Not. IMRN, 15 (2007), Art. ID rnm047, 36.
-
(2007)
Int. Math. Res. Not. IMRN
, vol.15
-
-
SCHENKER, J.1
SCHULZ-BALDES, H.2
-
178
-
-
85009394021
-
-
SHIRYAEV, A. N. Probability, second ed., 95 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1996. Translated from the first (1980) Russian edition by R. P. Boas.
-
SHIRYAEV, A. N. Probability, second ed., vol. 95 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1996. Translated from the first (1980) Russian edition by R. P. Boas.
-
-
-
-
179
-
-
27144550468
-
Central limit theorem for traces of large random symmetric matrices with independent matrix elements
-
SINAI, Y., AND SOSHNIKOV, A. Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Bol. Soc. Brasil. Mat. (N.S.) 29, 1 (1998), 1-24.
-
(1998)
Bol. Soc. Brasil. Mat. (N.S.)
, vol.29
, Issue.1
, pp. 1-24
-
-
SINAI, Y.1
SOSHNIKOV, A.2
-
180
-
-
0033473406
-
Universality at the edge of the spectrum in Wigner random matrices
-
SOSHNIKOV, A. Universality at the edge of the spectrum in Wigner random matrices. Comm. Math. Phys. 207, 3 (1999), 697-733.
-
(1999)
Comm. Math. Phys
, vol.207
, Issue.3
, pp. 697-733
-
-
SOSHNIKOV, A.1
-
181
-
-
0033473406
-
Universality at the edge of the spectrum in Wigner random matrices
-
SOSHNIKOV, A. Universality at the edge of the spectrum in Wigner random matrices. Comm. Math. Phys. 207, 3 (1999), 697-733.
-
(1999)
Comm. Math. Phys
, vol.207
, Issue.3
, pp. 697-733
-
-
SOSHNIKOV, A.1
-
182
-
-
0142008144
-
Uspekhi Mat. Nauk 55
-
SOSHNIKOV, A. Determinantal random point fields. Uspekhi Mat. Nauk 55, 5(335) (2000), 107-160.
-
(2000)
, vol.5
, Issue.335
, pp. 107-160
-
-
SOSHNIKOV, A.1
-
183
-
-
0141450345
-
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
-
Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays
-
SOSHNIKOV, A. A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. J. Statist. Phys. 108, 5-6 (2002), 1033-1056. Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.
-
(2002)
J. Statist. Phys
, vol.108
, Issue.5-6
, pp. 1033-1056
-
-
SOSHNIKOV, A.1
-
184
-
-
33749024750
-
Poisson statistics for the largest eigenvalues in random matrix ensembles
-
Mathematical physics of quantum mechanics, of, Springer, Berlin
-
SOSHNIKOV, A. Poisson statistics for the largest eigenvalues in random matrix ensembles. In Mathematical physics of quantum mechanics, vol. 690 of Lecture Notes in Phys. Springer, Berlin, 2006, pp. 351-364.
-
(2006)
Lecture Notes in Phys
, vol.690
, pp. 351-364
-
-
SOSHNIKOV, A.1
-
185
-
-
85009394023
-
-
SPEICHER, R. Free calculus. In Quantum probability communications, XII (Grenoble, 1998), QP-PQ, XII. World Sci. Publishing, River Edge, NJ, 2003, pp. 209-235.
-
SPEICHER, R. Free calculus. In Quantum probability communications, Vol. XII (Grenoble, 1998), QP-PQ, XII. World Sci. Publishing, River Edge, NJ, 2003, pp. 209-235.
-
-
-
-
187
-
-
33744543538
-
A planar diagram theory for strong interactions
-
THOOFT, G. A planar diagram theory for strong interactions. Nuclear Physics B 72, 3 (1974), 461-473.
-
(1974)
Nuclear Physics B
, vol.72
, Issue.3
, pp. 461-473
-
-
THOOFT, G.1
-
188
-
-
0030489977
-
New concentration inequalities in product spaces
-
TALAGRAND, M. New concentration inequalities in product spaces. Invent. Math. 126, 3 (1996), 505-563.
-
(1996)
Invent. Math
, vol.126
, Issue.3
, pp. 505-563
-
-
TALAGRAND, M.1
-
189
-
-
0030522124
-
A new look at independence
-
TALAGRAND, M. A new look at independence. Ann. Probab. 24, 1 (1996), 1-34.
-
(1996)
Ann. Probab
, vol.24
, Issue.1
, pp. 1-34
-
-
TALAGRAND, M.1
-
191
-
-
85009394032
-
-
TRACY, C. A., AND WIDOM, H. The distribution of the largest eigenvalue in the Gaussian ensembles: β = 1,2,4. In Calogero-Moser-Sutherland models (Montréal, QC., 1997), CRM Ser. Math. Phys. Springer, New York, 2000, pp. 461-472.
-
TRACY, C. A., AND WIDOM, H. The distribution of the largest eigenvalue in the Gaussian ensembles: β = 1,2,4. In Calogero-Moser-Sutherland models (Montréal, QC., 1997), CRM Ser. Math. Phys. Springer, New York, 2000, pp. 461-472.
-
-
-
-
192
-
-
0001853980
-
A census of planar triangulations
-
TUTTE, W. T. A census of planar triangulations. Canad. J. Math. 14 (1962), 21-38.
-
(1962)
Canad. J. Math
, vol.14
, pp. 21-38
-
-
TUTTE, W.T.1
-
193
-
-
33750633865
-
A new branch of enumerative graph theory
-
TUTTE, W. T. A new branch of enumerative graph theory. Bull. Amer. Math. Soc. 68 (1962), 500-504.
-
(1962)
Bull. Amer. Math. Soc
, vol.68
, pp. 500-504
-
-
TUTTE, W.T.1
-
194
-
-
30244545620
-
On the enumeration of planar maps
-
TUTTE, W. T. On the enumeration of planar maps. Bull. Amer. Math. Soc. 14 (1968), 64-74.
-
(1968)
Bull. Amer. Math. Soc
, vol.14
, pp. 64-74
-
-
TUTTE, W.T.1
-
195
-
-
1542342359
-
Topics in optimal transportation
-
of, American Mathematical Society, Providence, RI
-
VILLANI, C. Topics in optimal transportation, vol. 58 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2003.
-
(2003)
Graduate Studies in Mathematics
, vol.58
-
-
VILLANI, C.1
-
196
-
-
37349070894
-
-
Lecture Notes for the Saint-Flour Probability Summer School. www.umpa.ens-lyon.fr/ cvillani/StFlour/oldnew-9.ps
-
VILLANI, C. Optimal transport, old and new. Lecture Notes for the 2005 Saint-Flour Probability Summer School. www.umpa.ens-lyon.fr/ cvillani/StFlour/oldnew-9.ps, 2007.
-
(2005)
Optimal transport, old and new
-
-
VILLANI, C.1
-
197
-
-
0000215544
-
Limit laws for random matrices and free products
-
VOICULESCU, D. Limit laws for random matrices and free products. Invent. Math. 104, 1 (1991), 201-220.
-
(1991)
Invent. Math
, vol.104
, Issue.1
, pp. 201-220
-
-
VOICULESCU, D.1
-
198
-
-
0030544382
-
The analogues of entropy and of Fisher's information measure in free probability theory. III. The absence of Cartan subalgebras
-
VOICULESCU, D. The analogues of entropy and of Fisher's information measure in free probability theory. III. The absence of Cartan subalgebras. Geom. Funct. Anal. 6, 1 (1996), 172-199.
-
(1996)
Geom. Funct. Anal
, vol.6
, Issue.1
, pp. 172-199
-
-
VOICULESCU, D.1
-
199
-
-
0033604007
-
The analogues of entropy and of Fisher's information measure in free probability theory. VI. Liberation and mutual free information
-
VOICULESCU, D. The analogues of entropy and of Fisher's information measure in free probability theory. VI. Liberation and mutual free information. Adv. Math. 146, 2 (1999), 101-166.
-
(1999)
Adv. Math
, vol.146
, Issue.2
, pp. 101-166
-
-
VOICULESCU, D.1
-
200
-
-
0003251321
-
Lectures on free probability theory
-
Lectures on probability theory and statistics Saint-Flour, 1998, of, Springer, Berlin
-
VOICULESCU, D. Lectures on free probability theory. In Lectures on probability theory and statistics (Saint-Flour, 1998), vol. 1738 of Lecture Notes in Math. Springer, Berlin, 2000, pp. 279-349.
-
(2000)
Lecture Notes in Math
, vol.1738
, pp. 279-349
-
-
VOICULESCU, D.1
-
203
-
-
85009394035
-
-
VOICULESCU, D. V., DYKEMA, K. J., AND NICA, A. Free random variables, 1 of CRM Monograph Series. American Mathematical Society, Providence, RI, 1992. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups.
-
VOICULESCU, D. V., DYKEMA, K. J., AND NICA, A. Free random variables, vol. 1 of CRM Monograph Series. American Mathematical Society, Providence, RI, 1992. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups.
-
-
-
-
205
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
WIGNER, E. P. On the distribution of the roots of certain symmetric matrices. Ann. of Math. (2) 67 (1958), 325-327.
-
(1958)
Ann. of Math. (2)
, vol.67
, pp. 325-327
-
-
WIGNER, E.P.1
-
206
-
-
0002125597
-
The generalized product moment distribution in samples from a normal multivariate population
-
WISHART, J. The generalized product moment distribution in samples from a normal multivariate population. Biometrika 20 (1928), 35-52.
-
(1928)
Biometrika
, vol.20
, pp. 35-52
-
-
WISHART, J.1
-
207
-
-
0000910190
-
Two-dimensional gravity and intersection theory on moduli space
-
Cambridge, MA, Lehigh Univ, Bethlehem, PA
-
WITTEN, E. Two-dimensional gravity and intersection theory on moduli space. In Surveys in differential geometry (Cambridge, MA, 1990). Lehigh Univ., Bethlehem, PA, 1991, pp. 243-310.
-
(1990)
Surveys in differential geometry
, pp. 243-310
-
-
WITTEN, E.1
-
208
-
-
33750007923
-
A generalization of Wigner's law
-
ZAKHAREVICH, I. A generalization of Wigner's law. Comm. Math. Phys. 268, 2 (2006), 403-414.
-
(2006)
Comm. Math. Phys
, vol.268
, Issue.2
, pp. 403-414
-
-
ZAKHAREVICH, I.1
-
209
-
-
0034341452
-
-
ZINN JUSTIN, P. The dilute potts model on random surfaces. J. Stat. Phys. 98 (2000), 245-264.
-
ZINN JUSTIN, P. The dilute potts model on random surfaces. J. Stat. Phys. 98 (2000), 245-264.
-
-
-
-
210
-
-
0037471294
-
-
ZINN-JUSTIN, P., AND Zuber, J.-B. On some integrals over the U(N) unitary group and their large N limit. J. Phys. A 36, 12 (2003), 3173-3193. Random matrix theory.
-
ZINN-JUSTIN, P., AND Zuber, J.-B. On some integrals over the U(N) unitary group and their large N limit. J. Phys. A 36, 12 (2003), 3173-3193. Random matrix theory.
-
-
-
-
211
-
-
0031258947
-
Math. Comput. Modelling 26
-
Combinatorics and physics Marseilles
-
ZVONKIN, A. Matrix integrals and map enumeration: an accessible introduction. Math. Comput. Modelling 26, 8-10 (1997), 281-304. Combinatorics and physics (Marseilles, 1995).
-
(1995)
-
-
ZVONKIN, A.1
|