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Author ID: guionnet.alice Recent zbMATH articles by "Guionnet, Alice"
Published as: Guionnet, Alice; Guionnet, A.
Homepage: http://perso.ens-lyon.fr/aguionne/
External Links: MGP · Wikidata · Google Scholar · GND · IdRef · theses.fr
all top 5

Co-Authors

23 single-authored
10 Zeitouni, Ofer
8 Ben Arous, Gérard
8 Shlyakhtenko, Dimitri L.
7 Dembo, Amir
6 Maïda, Mylène
5 Benaych-Georges, Florent
5 Husson, Jonathan
4 Borot, Gaëtan
4 Del Moral, Pierre
4 Maurel-Segala, Edouard
3 Belinschi, Serban Teodor
3 Huang, Jiaoyang
3 Jones, Vaughan Frederick Randal
3 Ko, Justin
3 Krzakąła, Florent
3 Mazza, Christian
3 Voiculescu, Dan-Virgil
3 Zdeborová, Lenka
3 Zegarlinski, Boguslaw
2 Allez, Romain
2 Biane, Philippe
2 Bordenave, Charles
2 Borodin, Alexei
2 Cabanal-Duvillard, Thierry
2 Collins, Benoît
2 Cook, Nicholas A.
2 Ducatez, Raphael
2 Figalli, Alessio
2 Hairer, Martin
2 Kozlowski, Karol Kajetan
2 Memin, Ronan
2 Speicher, Roland
2 Werner, Wendelin
1 Anderson, Greg W.
1 Augeri, Fanny
1 Baxter, Rodney J.
1 Bekerman, Florent
1 Birman, Joan S.
1 Biroli, Giulio
1 Bisch, Dietmar H.
1 Bodineau, Thierry
1 Bouchaud, Jean-Philippe
1 Capitaine, Mireille
1 Conder, Marston Donald Edward
1 Connes, Alain
1 Corwin, Ivan Z.
1 Dabrowski, Yoann
1 de la Harpe, Pierre
1 Edelman, Alan Stuart
1 Erdős, László
1 Evans, David E.
1 Ferriere, Regis
1 Freedman, Michael Hartley
1 Goodman, Fred J.
1 Gorin, Vadim
1 Götze, Friedrich
1 Izumi, Masaki
1 Jaffe, Arthur Michael
1 Kammoun, Mohamed Slim
1 Kawahigashi, Yasuyuki
1 Kirby, Robion Cromwell
1 Krishnapur, Manjunath
1 Kurkova, Irina A.
1 Lehrer, Gustav Isaac
1 Longo, Roberto
1 Male, Camille
1 Martin, Gaven J.
1 Mergny, Pierre
1 Miermont, Grégory
1 Novak, Jonathan I.
1 Parraud, Félix
1 Péché, Sandrine
1 Popa, Sorin Teodor
1 Ratcliffe, John G.
1 Reshetikhin, Nikolai Yu.
1 Richard, Kevin
1 Skandalis, Georges
1 Song, Y.
1 Sutherland, Colin E.
1 Wang, Andi
1 Witten, Edward
1 Wood, Philip Matchett
1 Woodin, W. Hugh
1 Zinn-Justin, Paul
all top 5

Serials

10 Communications in Mathematical Physics
10 Probability Theory and Related Fields
7 Journal of Functional Analysis
6 Oberwolfach Reports
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Electronic Journal of Probability
4 The Annals of Probability
3 Journal of Statistical Physics
2 Advances in Mathematics
2 Inventiones Mathematicae
2 The Annals of Applied Probability
2 Electronic Communications in Probability
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Communications on Pure and Applied Mathematics
1 Acta Mathematica
1 Publications Mathématiques
1 Proceedings of the American Mathematical Society
1 Theoretical Population Biology
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Stochastic Processes and their Applications
1 Notices of the American Mathematical Society
1 New Zealand Journal of Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Annals of Mathematics. Second Series
1 Cambridge Studies in Advanced Mathematics
1 Lecture Notes in Mathematics
1 Mathematical Physics Studies
1 IAS/Park City Mathematics Series
1 Complex Analysis and Operator Theory
1 Japanese Journal of Mathematics. 3rd Series
1 Probability Surveys
1 Random Matrices: Theory and Applications
1 Forum of Mathematics, Sigma
1 Cambridge Journal of Mathematics
1 CBMS Regional Conference Series in Mathematics
1 Probability and Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 2,609 times in 1,560 Documents Cited by Year
An introduction to random matrices. Zbl 1184.15023
Anderson, Greg W.; Guionnet, Alice; Zeitouni, Ofer
701
2010
Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy. Zbl 0954.60029
Ben Arous, G.; Guionnet, A.
140
1997
Asymptotic expansion of \(\beta \) matrix models in the one-cut regime. Zbl 1344.60012
Borot, G.; Guionnet, A.
132
2013
Aging of spherical spin glasses. Zbl 0993.60055
Ben Arous, G.; Dembo, A.; Guionnet, A.
96
2001
Lectures on logarithmic Sobolev inequalities. Zbl 1125.60111
Guionnet, A.; Zegarlinski, B.
95
2003
Concentration of the spectral measure for large matrices. Zbl 0969.15010
Guionnet, A.; Zeitouni, O.
84
2000
On the stability of interacting processes with applications to filtering and genetic algorithms. Zbl 0990.60005
Del Moral, Pierre; Guionnet, Alice
84
2001
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices. Zbl 1245.60007
Benaych-Georges, Florent; Guionnet, Alice; Maida, Mylène
52
2011
The single ring theorem. Zbl 1239.15018
Guionnet, Alice; Krishnapur, Manjunath; Zeitouni, Ofer
48
2011
Random matrices, free probability, planar algebras and subfactors. Zbl 1219.46057
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.
47
2010
Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices. Zbl 0995.60028
Guionnet, Alice
46
2002
The spectrum of heavy tailed random matrices. Zbl 1157.60005
Ben Arous, Gérard; Guionnet, Alice
45
2008
Large deviations asymptotics for spherical integrals. Zbl 1002.60021
Guionnet, Alice; Zeitouni, Ofer
44
2002
Transport maps for \(\beta\)-matrix models and universality. Zbl 1330.49046
Bekerman, F.; Figalli, A.; Guionnet, A.
41
2015
Free monotone transport. Zbl 1312.46059
Guionnet, A.; Shlyakhtenko, D.
39
2014
A Fourier view on the \(R\)-transform and related asymptotics of spherical integrals. Zbl 1065.60023
Guionnet, A.; Maïda, M.
39
2005
Localization and delocalization of eigenvectors for heavy-tailed random matrices. Zbl 1296.15019
Bordenave, Charles; Guionnet, Alice
39
2013
Large random matrices: Lectures on macroscopic asymptotics. École d’Été des Probabilités de Saint-Flour XXXVI – 2006. Zbl 1168.60003
Guionnet, Alice
34
2009
Central limit theorem for nonlinear filtering and interacting particle systems. Zbl 0938.60022
Del Moral, P.; Guionnet, A.
32
1999
Combinatorial aspects of matrix models. Zbl 1110.15021
Guionnet, Alice; Maurel-Segala, Edouard
32
2006
Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008
Borodin, Alexei; Gorin, Vadim; Guionnet, Alice
30
2017
Large deviations upper bounds for the laws of matrix-valued processes and non-commutative entropies. Zbl 1022.60026
Cabanal Duvillard, T.; Guionnet, A.
30
2001
Large deviations for Langevin spin glass dynamics. Zbl 0830.60017
Ben Arous, G.; Guionnet, A.
30
1995
Spectral measure of heavy tailed band and covariance random matrices. Zbl 1221.15050
Belinschi, Serban; Dembo, Amir; Guionnet, Alice
29
2009
Central limit theorems for linear statistics of heavy tailed random matrices. Zbl 1294.60039
Benaych-Georges, Florent; Guionnet, Alice; Male, Camille
28
2014
Asymptotics of unitary and orthogonal matrix integrals. Zbl 1184.15024
Collins, Benoît; Guionnet, Alice; Maurel-Segala, Edouard
27
2009
First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models. Zbl 1076.82026
Guionnet, Alice
26
2004
Large-\(N\) asymptotic expansion for mean field models with Coulomb gas interaction. Zbl 1332.82069
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
26
2015
Large deviations of the extreme eigenvalues of random deformations of matrices. Zbl 1261.15042
Benaych-Georges, F.; Guionnet, A.; Maida, M.
26
2012
Large deviation bounds for matrix Brownian motion. Zbl 1017.60026
Biane, P.; Capitaine, M.; Guionnet, A.
24
2003
Large deviations for the largest eigenvalue of Rademacher matrices. Zbl 1444.60021
Guionnet, Alice; Husson, Jonathan
23
2020
Second order asymptotics for matrix models. Zbl 1129.15020
Guionnet, Alice; Maurel-Segala, Edouard
21
2007
A semi-finite algebra associated to a subfactor planar algebra. Zbl 1230.46054
Guionnet, A.; Jones, V.; Shlyakhtenko, D.
19
2011
About the stationary states of vortex systems. Zbl 0920.60095
Bodineau, Thierry; Guionnet, Alice
19
1999
On the stability of measure valued processes with applications to filtering. Zbl 0935.92001
Del Moral, Pierre; Guionnet, Alice
18
1999
Asymptotics of unitary multimatrix models: the Schwinger-Dyson lattice and topological recursion. Zbl 1335.46057
Guionnet, Alice; Novak, Jonathan
16
2015
Free diffusions and matrix models with strictly convex interaction. Zbl 1187.46056
Guionnet, Alice; Shlyakhtenko, Dimitri
16
2009
Cugliandolo-Kurchan equations for dynamics of spin-glasses. Zbl 1109.82021
Ben Arous, Gérard; Dembo, Amir; Guionnet, Alice
16
2006
Symmetric Langevin spin glass dynamics. Zbl 0954.60031
Ben Arous, G.; Guionnet, A.
15
1997
Loop models, random matrices and planar algebras. Zbl 1277.82013
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P.
15
2012
Universality in several-matrix models via approximate transport maps. Zbl 1402.60009
Figalli, Alessio; Guionnet, Alice
14
2016
Convergence of the spectral measure of non-normal matrices. Zbl 1302.60020
Guionnet, Alice; Wood, Philip Matchett; Zeitouni, Ofer
14
2014
Averaged and quenched propagation of chaos for spin glass dynamics. Zbl 0888.60088
Guionnet, A.
14
1997
Large deviations for the largest eigenvalue of sub-Gaussian matrices. Zbl 1479.60011
Augeri, Fanny; Guionnet, Alice; Husson, Jonathan
14
2021
Large deviations for interacting particle systems: Applications to non-linear filtering. Zbl 0934.60026
Del Moral, P.; Guionnet, A.
13
1998
Central limit theorem for eigenvectors of heavy tailed matrices. Zbl 1293.15021
Benaych-Georges, Florent; Guionnet, Alice
12
2014
Decay to equilibrium in random spin systems on a lattice. Zbl 0882.60093
Guionnet, Alice; Zegarlinski, Boguslaw
12
1996
Large deviations and stochastic calculus for large random matrices. Zbl 1189.60059
Guionnet, Alice
11
2004
Random matrices and enumeration of maps. Zbl 1101.15024
Guionnet, Alice
11
2006
Character expansion method for the first order asymptotics of a matrix integral. Zbl 1113.60031
Guionnet, Alice; Maïda, Mylène
11
2005
A diffusive matrix model for invariant \(\beta\)-ensembles. Zbl 1284.60015
Allez, Romain; Guionnet, Alice
11
2013
Beyond universality in random matrix theory. Zbl 1408.60007
Edelman, Alan; Guionnet, A.; Péché, S.
11
2016
Delocalization at small energy for heavy-tailed random matrices. Zbl 1388.60022
Bordenave, Charles; Guionnet, Alice
10
2017
Rigidity and edge universality of discrete \(\beta\)-ensembles. Zbl 1455.60014
Guionnet, Alice; Huang, Jiaoyang
9
2019
Large deviations for the largest eigenvalue of the sum of two random matrices. Zbl 1440.15035
Guionnet, Alice; Maïda, Mylène
8
2020
Support convergence in the single ring theorem. Zbl 1261.15043
Guionnet, Alice; Zeitouni, Ofer
8
2012
Regularization by free additive convolution, square and rectangular cases. Zbl 1187.46055
Belinschi, Serban T.; Benaych-Georges, Florent; Guionnet, Alice
8
2009
Addendum to: Large deviations asymptotics for spherical integrals. Zbl 1056.60022
Guionnet, Alice; Zeitouni, Ofer
7
2004
Free transport for convex potentials. Zbl 1484.46069
Dabrowski, Yoann; Guionnet, Alice; Shlyakhtenko, Dima
7
2021
Asymptotic expansion of a partition function related to the sinh-model. Zbl 1433.81003
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
6
2016
Asymptotics of random matrices and related models. The uses of Dyson-Schwinger equations. Zbl 1464.60004
Guionnet, Alice
6
2019
Moderate deviations for the spectral measure of certain random matrices. Zbl 1038.60027
Dembo, A.; Guionnet, A.; Zeitouni, O.
6
2003
Wigner matrices. Zbl 1236.15063
Ben Arous, G.; Guionnet, A.
6
2011
Limiting dynamics for spherical models of spin glasses at high temperature. Zbl 1130.82032
Dembo, Amir; Guionnet, Alice; Mazza, Christian
5
2007
Langevin dynamics for Sherrington-Kirkpatrick spin glasses. Zbl 0899.60089
Ben Arous, Gerard; Guionnet, Alice
5
1998
Dynamics for spherical models of spin-glass and aging. Zbl 1206.82124
Guionnet, Alice
5
2007
On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices. Zbl 1487.46073
Collins, Benoît; Guionnet, Alice; Parraud, Félix
4
2022
Long time behaviour of the solution to non-linear Kraichnan equations. Zbl 1066.35016
Guionnet, Alice; Mazza, Christian
4
2005
Discussions around Voiculescu’s free entropies. Zbl 1038.46053
Cabanal-Duvillard, Thierry; Guionnet, Alice
4
2003
Limiting dynamics for spherical models of spin glasses at high temperature. Zbl 1153.82025
Dembo, Amir; Guionnet, Alice; Mazza, Christian
4
2007
Large deviations for the largest eigenvalues and eigenvectors of spiked Gaussian random matrices. Zbl 1462.60005
Biroli, Giulio; Guionnet, Alice
4
2020
Large deviations for Gibbs ensembles of the classical Toda chain. Zbl 1487.60013
Guionnet, Alice; Memin, Ronan
3
2022
Memories of Vaughan Jones. Zbl 1480.01028
Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin
3
2021
Free analysis and random matrices. Zbl 1350.15023
Guionnet, Alice
3
2016
Convergence of eigenvalues to the support of the limiting measure in critical \(\beta\) matrix models. Zbl 1331.60018
Fan, C.; Guionnet, A.; Song, Y.; Wang, A.
3
2015
Timescales of population rarity and commonness in random environments. Zbl 1120.92044
Ferriere, Regis; Guionnet, Alice; Kurkova, Irina
2
2006
Asymptotics of \(k\) dimensional spherical integrals and applications. Zbl 1504.44002
Guionnet, Alice; Husson, Jonathan
2
2022
Large deviation principles via spherical integrals. Zbl 1511.60047
Belinschi, Serban; Guionnet, Alice; Huang, Jiaoyang
2
2022
Heavy tailed random matrices: how they differ from the GOE, and open problems. Zbl 1408.60008
Guionnet, Alice
1
2018
Uses of free probability in random matrix theory. Zbl 1469.46061
Guionnet, Alice
1
2010
Statistical mechanics and random matrices. Zbl 1179.81001
Guionnet, Alice
1
2009
Free probability and random matrices. Zbl 1325.46069
Guionnet, A.
1
2014
Decay to equilibrium in random spin systems on a lattice. II. Zbl 0935.82039
Guionnet, Alice; Zegarlinski, Boguslaw
1
1997
Non Markovian limit diffusions and spin glasses. Zbl 1043.82021
Guionnet, A.
1
2002
On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices. Zbl 1487.46073
Collins, Benoît; Guionnet, Alice; Parraud, Félix
4
2022
Large deviations for Gibbs ensembles of the classical Toda chain. Zbl 1487.60013
Guionnet, Alice; Memin, Ronan
3
2022
Asymptotics of \(k\) dimensional spherical integrals and applications. Zbl 1504.44002
Guionnet, Alice; Husson, Jonathan
2
2022
Large deviation principles via spherical integrals. Zbl 1511.60047
Belinschi, Serban; Guionnet, Alice; Huang, Jiaoyang
2
2022
Large deviations for the largest eigenvalue of sub-Gaussian matrices. Zbl 1479.60011
Augeri, Fanny; Guionnet, Alice; Husson, Jonathan
14
2021
Free transport for convex potentials. Zbl 1484.46069
Dabrowski, Yoann; Guionnet, Alice; Shlyakhtenko, Dima
7
2021
Memories of Vaughan Jones. Zbl 1480.01028
Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin
3
2021
Large deviations for the largest eigenvalue of Rademacher matrices. Zbl 1444.60021
Guionnet, Alice; Husson, Jonathan
23
2020
Large deviations for the largest eigenvalue of the sum of two random matrices. Zbl 1440.15035
Guionnet, Alice; Maïda, Mylène
8
2020
Large deviations for the largest eigenvalues and eigenvectors of spiked Gaussian random matrices. Zbl 1462.60005
Biroli, Giulio; Guionnet, Alice
4
2020
Rigidity and edge universality of discrete \(\beta\)-ensembles. Zbl 1455.60014
Guionnet, Alice; Huang, Jiaoyang
9
2019
Asymptotics of random matrices and related models. The uses of Dyson-Schwinger equations. Zbl 1464.60004
Guionnet, Alice
6
2019
Heavy tailed random matrices: how they differ from the GOE, and open problems. Zbl 1408.60008
Guionnet, Alice
1
2018
Gaussian asymptotics of discrete \(\beta \)-ensembles. Zbl 1406.60008
Borodin, Alexei; Gorin, Vadim; Guionnet, Alice
30
2017
Delocalization at small energy for heavy-tailed random matrices. Zbl 1388.60022
Bordenave, Charles; Guionnet, Alice
10
2017
Universality in several-matrix models via approximate transport maps. Zbl 1402.60009
Figalli, Alessio; Guionnet, Alice
14
2016
Beyond universality in random matrix theory. Zbl 1408.60007
Edelman, Alan; Guionnet, A.; Péché, S.
11
2016
Asymptotic expansion of a partition function related to the sinh-model. Zbl 1433.81003
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
6
2016
Free analysis and random matrices. Zbl 1350.15023
Guionnet, Alice
3
2016
Transport maps for \(\beta\)-matrix models and universality. Zbl 1330.49046
Bekerman, F.; Figalli, A.; Guionnet, A.
41
2015
Large-\(N\) asymptotic expansion for mean field models with Coulomb gas interaction. Zbl 1332.82069
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
26
2015
Asymptotics of unitary multimatrix models: the Schwinger-Dyson lattice and topological recursion. Zbl 1335.46057
Guionnet, Alice; Novak, Jonathan
16
2015
Convergence of eigenvalues to the support of the limiting measure in critical \(\beta\) matrix models. Zbl 1331.60018
Fan, C.; Guionnet, A.; Song, Y.; Wang, A.
3
2015
Free monotone transport. Zbl 1312.46059
Guionnet, A.; Shlyakhtenko, D.
39
2014
Central limit theorems for linear statistics of heavy tailed random matrices. Zbl 1294.60039
Benaych-Georges, Florent; Guionnet, Alice; Male, Camille
28
2014
Convergence of the spectral measure of non-normal matrices. Zbl 1302.60020
Guionnet, Alice; Wood, Philip Matchett; Zeitouni, Ofer
14
2014
Central limit theorem for eigenvectors of heavy tailed matrices. Zbl 1293.15021
Benaych-Georges, Florent; Guionnet, Alice
12
2014
Free probability and random matrices. Zbl 1325.46069
Guionnet, A.
1
2014
Asymptotic expansion of \(\beta \) matrix models in the one-cut regime. Zbl 1344.60012
Borot, G.; Guionnet, A.
132
2013
Localization and delocalization of eigenvectors for heavy-tailed random matrices. Zbl 1296.15019
Bordenave, Charles; Guionnet, Alice
39
2013
A diffusive matrix model for invariant \(\beta\)-ensembles. Zbl 1284.60015
Allez, Romain; Guionnet, Alice
11
2013
Large deviations of the extreme eigenvalues of random deformations of matrices. Zbl 1261.15042
Benaych-Georges, F.; Guionnet, A.; Maida, M.
26
2012
Loop models, random matrices and planar algebras. Zbl 1277.82013
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.; Zinn-Justin, P.
15
2012
Support convergence in the single ring theorem. Zbl 1261.15043
Guionnet, Alice; Zeitouni, Ofer
8
2012
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices. Zbl 1245.60007
Benaych-Georges, Florent; Guionnet, Alice; Maida, Mylène
52
2011
The single ring theorem. Zbl 1239.15018
Guionnet, Alice; Krishnapur, Manjunath; Zeitouni, Ofer
48
2011
A semi-finite algebra associated to a subfactor planar algebra. Zbl 1230.46054
Guionnet, A.; Jones, V.; Shlyakhtenko, D.
19
2011
Wigner matrices. Zbl 1236.15063
Ben Arous, G.; Guionnet, A.
6
2011
An introduction to random matrices. Zbl 1184.15023
Anderson, Greg W.; Guionnet, Alice; Zeitouni, Ofer
701
2010
Random matrices, free probability, planar algebras and subfactors. Zbl 1219.46057
Guionnet, A.; Jones, V. F. R.; Shlyakhtenko, D.
47
2010
Uses of free probability in random matrix theory. Zbl 1469.46061
Guionnet, Alice
1
2010
Large random matrices: Lectures on macroscopic asymptotics. École d’Été des Probabilités de Saint-Flour XXXVI – 2006. Zbl 1168.60003
Guionnet, Alice
34
2009
Spectral measure of heavy tailed band and covariance random matrices. Zbl 1221.15050
Belinschi, Serban; Dembo, Amir; Guionnet, Alice
29
2009
Asymptotics of unitary and orthogonal matrix integrals. Zbl 1184.15024
Collins, Benoît; Guionnet, Alice; Maurel-Segala, Edouard
27
2009
Free diffusions and matrix models with strictly convex interaction. Zbl 1187.46056
Guionnet, Alice; Shlyakhtenko, Dimitri
16
2009
Regularization by free additive convolution, square and rectangular cases. Zbl 1187.46055
Belinschi, Serban T.; Benaych-Georges, Florent; Guionnet, Alice
8
2009
Statistical mechanics and random matrices. Zbl 1179.81001
Guionnet, Alice
1
2009
The spectrum of heavy tailed random matrices. Zbl 1157.60005
Ben Arous, Gérard; Guionnet, Alice
45
2008
Second order asymptotics for matrix models. Zbl 1129.15020
Guionnet, Alice; Maurel-Segala, Edouard
21
2007
Limiting dynamics for spherical models of spin glasses at high temperature. Zbl 1130.82032
Dembo, Amir; Guionnet, Alice; Mazza, Christian
5
2007
Dynamics for spherical models of spin-glass and aging. Zbl 1206.82124
Guionnet, Alice
5
2007
Limiting dynamics for spherical models of spin glasses at high temperature. Zbl 1153.82025
Dembo, Amir; Guionnet, Alice; Mazza, Christian
4
2007
Combinatorial aspects of matrix models. Zbl 1110.15021
Guionnet, Alice; Maurel-Segala, Edouard
32
2006
Cugliandolo-Kurchan equations for dynamics of spin-glasses. Zbl 1109.82021
Ben Arous, Gérard; Dembo, Amir; Guionnet, Alice
16
2006
Random matrices and enumeration of maps. Zbl 1101.15024
Guionnet, Alice
11
2006
Timescales of population rarity and commonness in random environments. Zbl 1120.92044
Ferriere, Regis; Guionnet, Alice; Kurkova, Irina
2
2006
A Fourier view on the \(R\)-transform and related asymptotics of spherical integrals. Zbl 1065.60023
Guionnet, A.; Maïda, M.
39
2005
Character expansion method for the first order asymptotics of a matrix integral. Zbl 1113.60031
Guionnet, Alice; Maïda, Mylène
11
2005
Long time behaviour of the solution to non-linear Kraichnan equations. Zbl 1066.35016
Guionnet, Alice; Mazza, Christian
4
2005
First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models. Zbl 1076.82026
Guionnet, Alice
26
2004
Large deviations and stochastic calculus for large random matrices. Zbl 1189.60059
Guionnet, Alice
11
2004
Addendum to: Large deviations asymptotics for spherical integrals. Zbl 1056.60022
Guionnet, Alice; Zeitouni, Ofer
7
2004
Lectures on logarithmic Sobolev inequalities. Zbl 1125.60111
Guionnet, A.; Zegarlinski, B.
95
2003
Large deviation bounds for matrix Brownian motion. Zbl 1017.60026
Biane, P.; Capitaine, M.; Guionnet, A.
24
2003
Moderate deviations for the spectral measure of certain random matrices. Zbl 1038.60027
Dembo, A.; Guionnet, A.; Zeitouni, O.
6
2003
Discussions around Voiculescu’s free entropies. Zbl 1038.46053
Cabanal-Duvillard, Thierry; Guionnet, Alice
4
2003
Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices. Zbl 0995.60028
Guionnet, Alice
46
2002
Large deviations asymptotics for spherical integrals. Zbl 1002.60021
Guionnet, Alice; Zeitouni, Ofer
44
2002
Non Markovian limit diffusions and spin glasses. Zbl 1043.82021
Guionnet, A.
1
2002
Aging of spherical spin glasses. Zbl 0993.60055
Ben Arous, G.; Dembo, A.; Guionnet, A.
96
2001
On the stability of interacting processes with applications to filtering and genetic algorithms. Zbl 0990.60005
Del Moral, Pierre; Guionnet, Alice
84
2001
Large deviations upper bounds for the laws of matrix-valued processes and non-commutative entropies. Zbl 1022.60026
Cabanal Duvillard, T.; Guionnet, A.
30
2001
Concentration of the spectral measure for large matrices. Zbl 0969.15010
Guionnet, A.; Zeitouni, O.
84
2000
Central limit theorem for nonlinear filtering and interacting particle systems. Zbl 0938.60022
Del Moral, P.; Guionnet, A.
32
1999
About the stationary states of vortex systems. Zbl 0920.60095
Bodineau, Thierry; Guionnet, Alice
19
1999
On the stability of measure valued processes with applications to filtering. Zbl 0935.92001
Del Moral, Pierre; Guionnet, Alice
18
1999
Large deviations for interacting particle systems: Applications to non-linear filtering. Zbl 0934.60026
Del Moral, P.; Guionnet, A.
13
1998
Langevin dynamics for Sherrington-Kirkpatrick spin glasses. Zbl 0899.60089
Ben Arous, Gerard; Guionnet, Alice
5
1998
Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy. Zbl 0954.60029
Ben Arous, G.; Guionnet, A.
140
1997
Symmetric Langevin spin glass dynamics. Zbl 0954.60031
Ben Arous, G.; Guionnet, A.
15
1997
Averaged and quenched propagation of chaos for spin glass dynamics. Zbl 0888.60088
Guionnet, A.
14
1997
Decay to equilibrium in random spin systems on a lattice. II. Zbl 0935.82039
Guionnet, Alice; Zegarlinski, Boguslaw
1
1997
Decay to equilibrium in random spin systems on a lattice. Zbl 0882.60093
Guionnet, Alice; Zegarlinski, Boguslaw
12
1996
Large deviations for Langevin spin glass dynamics. Zbl 0830.60017
Ben Arous, G.; Guionnet, A.
30
1995
all top 5

Cited by 1,553 Authors

50 Guionnet, Alice
41 Erdős, László
26 Zeitouni, Ofer
23 Ben Arous, Gérard
22 Yau, Horng-Tzer
21 Del Moral, Pierre
20 Forrester, Peter J.
20 Zegarlinski, Boguslaw
18 Gorin, Vadim
17 Benaych-Georges, Florent
16 Chafaï, Djalil
15 Bose, Arup
14 Bourgade, Paul
14 Shlyakhtenko, Dimitri L.
13 Collins, Benoît
13 Krüger, Torben
13 Yao, Jianfeng
12 Duits, Maurice
12 Knowles, Antti
12 Péché, Sandrine
12 Rouault, Alain
12 Serfaty, Sylvia
12 Vũ Hà Văn
11 Bao, Zhigang
11 Dembo, Amir
11 Maïda, Mylène
11 Najim, Jamal
11 Schnelli, Kevin
11 Yin, Jun
10 Bordenave, Charles
10 Borodin, Alexei
10 Huang, Jiaoyang
10 Lambert, Gaultier
10 Schröder, Dominik
9 Alt, Johannes
9 Doucet, Arnaud
9 Jagannath, Aukosh
9 Landon, Benjamin A.
9 Lopatto, Patrick
9 Soshnikov, Alexander B.
9 Speicher, Roland
9 Tao, Terence
8 Belinschi, Serban Teodor
8 Capitaine, Mireille
8 Charlier, Christophe
8 Fyodorov, Yan V.
8 Hartglass, Michael
8 Hazra, Rajat Subhra
8 Katori, Makoto
8 Majumdar, Satya N.
8 Mezzadri, Francesco
8 Nechita, Ion
8 O’Rourke, Sean D.
7 Auffinger, Antonio
7 Borot, Gaëtan
7 Cipolloni, Giorgio
7 Claeys, Tom
7 Corwin, Ivan Z.
7 Cunden, Fabio Deelan
7 Dahlqvist, Antoine
7 Douc, Randal
7 Gamboa, Fabrice
7 Götze, Friedrich
7 Hiai, Fumio
7 Jones, Vaughan Frederick Randal
7 Kuijlaars, Arno B. J.
7 Lee, Ji Oon
7 Male, Camille
7 Meckes, Mark W.
7 Nagel, Jan
7 Nelson, Brent D.
7 Osada, Hirofumi
7 Paquette, Elliot
7 Ueda, Yoshimichi
7 Virág, Bálint
7 Wang, Shaochen
7 Yuan, Wangjun
6 Akemann, Gernot
6 Basak, Anirban
6 Breuer, Jonathan
6 Brothier, Arnaud
6 Bufetov, Alekseĭ Igor’evich
6 Caputo, Pietro
6 Dumitriu, Ioana
6 Feng, Renjie
6 Ganguly, Shirshendu
6 Grava, Tamara
6 Hachem, Walid
6 Hardy, Adrien
6 Heiny, Johannes
6 Hu, Jiang
6 Liu, Dangzheng
6 Ma, Yutao
6 Mazzuca, Guido
6 Montanari, Andrea
6 Najnudel, Joseph
6 Penneys, David
6 Petrov, Leonid
6 Rider, Brian C.
6 Rudelson, Mark
...and 1,453 more Authors
all top 5

Cited in 246 Serials

91 Communications in Mathematical Physics
90 Probability Theory and Related Fields
81 Random Matrices: Theory and Applications
71 Journal of Statistical Physics
64 The Annals of Probability
61 Journal of Functional Analysis
54 The Annals of Applied Probability
51 Electronic Journal of Probability
50 Journal of Mathematical Physics
45 Journal of Theoretical Probability
45 Stochastic Processes and their Applications
45 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
35 Journal of Physics A: Mathematical and Theoretical
34 Advances in Mathematics
29 The Annals of Statistics
23 Journal of Statistical Mechanics: Theory and Experiment
22 Bernoulli
18 Communications on Pure and Applied Mathematics
17 Journal of Multivariate Analysis
17 Annales Henri Poincaré
13 Transactions of the American Mathematical Society
12 Constructive Approximation
11 Statistics & Probability Letters
11 Electronic Communications in Probability
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Duke Mathematical Journal
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Inventiones Mathematicae
9 Journal of Approximation Theory
9 International Journal of Mathematics
8 Advances in Applied Probability
8 Stochastic Analysis and Applications
8 Potential Analysis
7 Journal of Mathematical Analysis and Applications
7 Letters in Mathematical Physics
7 Geometric and Functional Analysis. GAFA
7 Linear Algebra and its Applications
7 Bulletin of the American Mathematical Society. New Series
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Journal of High Energy Physics
7 Statistics and Computing
6 Proceedings of the American Mathematical Society
6 Random Structures & Algorithms
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Probability Surveys
5 Journal of Applied Probability
5 Memoirs of the American Mathematical Society
5 Selecta Mathematica. New Series
5 Mathematical Physics, Analysis and Geometry
5 Statistical Inference for Stochastic Processes
5 Journal of the European Mathematical Society (JEMS)
5 Acta Mathematica Sinica. English Series
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Probability and Mathematical Physics
4 Indian Journal of Pure & Applied Mathematics
4 Reports on Mathematical Physics
4 Acta Mathematica
4 Journal of the London Mathematical Society. Second Series
4 Mathematische Annalen
4 Physica D
4 The Journal of Geometric Analysis
4 Applied and Computational Harmonic Analysis
4 Journal of Mathematical Sciences (New York)
4 Annales Mathématiques Blaise Pascal
4 Journal of Machine Learning Research (JMLR)
4 Oberwolfach Reports
4 Science China. Mathematics
4 Forum of Mathematics, Sigma
3 Archive for Rational Mechanics and Analysis
3 Nonlinearity
3 Nuclear Physics. B
3 Reviews in Mathematical Physics
3 Annals of the Institute of Statistical Mathematics
3 Indiana University Mathematics Journal
3 Journal of Combinatorial Theory. Series A
3 SIAM Journal on Computing
3 SIAM Journal on Numerical Analysis
3 Systems & Control Letters
3 Journal of Complexity
3 Statistical Science
3 L’Enseignement Mathématique. 2e Série
3 Documenta Mathematica
3 Extremes
3 Communications in Contemporary Mathematics
3 Methodology and Computing in Applied Probability
3 Journal of Noncommutative Geometry
3 Japanese Journal of Mathematics. 3rd Series
3 Journal of Spectral Theory
3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
3 SIAM Journal on Mathematics of Data Science
2 Israel Journal of Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Biology
2 Metrika
2 Physics Reports
2 Mathematics of Computation
2 Theory of Probability and its Applications
2 Annales de l’Institut Fourier
...and 146 more Serials
all top 5

Cited in 58 Fields

1,122 Probability theory and stochastic processes (60-XX)
567 Linear and multilinear algebra; matrix theory (15-XX)
335 Statistical mechanics, structure of matter (82-XX)
232 Functional analysis (46-XX)
203 Statistics (62-XX)
130 Combinatorics (05-XX)
117 Quantum theory (81-XX)
91 Partial differential equations (35-XX)
82 Numerical analysis (65-XX)
68 Operator theory (47-XX)
60 Special functions (33-XX)
52 Dynamical systems and ergodic theory (37-XX)
40 Systems theory; control (93-XX)
36 Information and communication theory, circuits (94-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
28 Functions of a complex variable (30-XX)
26 Global analysis, analysis on manifolds (58-XX)
25 Topological groups, Lie groups (22-XX)
25 Computer science (68-XX)
23 Real functions (26-XX)
22 Group theory and generalizations (20-XX)
20 Convex and discrete geometry (52-XX)
19 Number theory (11-XX)
19 Potential theory (31-XX)
18 Biology and other natural sciences (92-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Algebraic geometry (14-XX)
16 Measure and integration (28-XX)
16 Ordinary differential equations (34-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Differential geometry (53-XX)
14 Operations research, mathematical programming (90-XX)
13 Approximations and expansions (41-XX)
13 Fluid mechanics (76-XX)
12 Category theory; homological algebra (18-XX)
12 Relativity and gravitational theory (83-XX)
10 Associative rings and algebras (16-XX)
10 Difference and functional equations (39-XX)
10 Integral transforms, operational calculus (44-XX)
9 Mechanics of particles and systems (70-XX)
8 Nonassociative rings and algebras (17-XX)
8 Manifolds and cell complexes (57-XX)
7 Abstract harmonic analysis (43-XX)
6 General and overarching topics; collections (00-XX)
6 History and biography (01-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Integral equations (45-XX)
6 Mechanics of deformable solids (74-XX)
3 Commutative algebra (13-XX)
3 Geometry (51-XX)
3 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic topology (55-XX)
2 Geophysics (86-XX)
1 Field theory and polynomials (12-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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