Alice Guionnet
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French mathematician
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Alice Guionnetmathematics Degrees
Mathematics
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Measure Theory
#2850
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#3390
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Mathematics
Why Is Alice Guionnet Influential?
(Suggest an Edit or Addition)According to Wikipedia, Alice Guionnet is a French mathematician known for her work in probability theory, in particular on large random matrices. Biography Guionnet entered the École Normale Supérieure in 1989. She earned her PhD in 1995 under the supervision of Gérard Ben Arous at University of Paris-Sud. Focuses of her academic research can be viewed in her thesis, Dynamique de Langevin d'un verre de spins .
Alice Guionnet's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- An Introduction to Random Matrices (2009) (426)
- Large deviations for Wigner's law and Voiculescu's non-commutative entropy (1997) (357)
- On the stability of interacting processes with applications to filtering and genetic algorithms (2001) (249)
- Lectures on Logarithmic Sobolev Inequalities (2003) (234)
- CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES (2000) (230)
- Aging of spherical spin glasses (2001) (228)
- Asymptotic Expansion of β Matrix Models in the One-cut Regime (2011) (184)
- Fluctuations of the Extreme Eigenvalues of Finite Rank Deformations of Random Matrices (2010) (140)
- The single ring theorem (2009) (136)
- Large Deviations Asymptotics for Spherical Integrals (2002) (127)
- Large Random Matrices: Lectures on Macroscopic Asymptotics (2009) (120)
- A Fourier view on the R-transform and related asymptotics of spherical integrals (2005) (117)
- Central limit theorem for nonlinear filtering and interacting particle systems (1999) (104)
- The Spectrum of Heavy Tailed Random Matrices (2007) (97)
- Asymptotic expansion of beta matrix models in the multi-cut regime (2013) (92)
- Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices (2002) (87)
- Localization and delocalization of eigenvectors for heavy-tailed random matrices (2012) (80)
- Large deviations for Langevin spin glass dynamics (1995) (77)
- Large deviation bounds for matrix Brownian motion (2003) (70)
- Large Deviations Upper Bounds for the Laws of Matrix-Valued Processes and Non-Communicative Entropies (2001) (70)
- Free monotone transport (2012) (69)
- Combinatorial aspects of matrix models (2005) (66)
- Spectral Measure of Heavy Tailed Band and Covariance Random Matrices (2008) (66)
- Transport Maps for $${\beta}$$β-Matrix Models and Universality (2013) (60)
- First Order Asymptotics of Matrix Integrals; A Rigorous Approach Towards the Understanding of Matrix Models (2002) (59)
- Invariant beta ensembles and the Gauss-Wigner crossover. (2012) (58)
- Transport Maps for β-Matrix Models and Universality (2015) (56)
- Second order asymptotics for matrix models (2006) (55)
- Large deviations and stochastic calculus for large random matrices (2004) (55)
- Large-N Asymptotic Expansion for Mean Field Models with Coulomb Gas Interaction (2013) (54)
- On the stability of measure valued processes with applications to filtering (1999) (53)
- Large deviations of the extreme eigenvalues of random deformations of matrices (2010) (53)
- Large deviations for interacting particle systems: Applications to non-linear filtering (1998) (51)
- Symmetric Langevin spin glass dynamics (1997) (51)
- Central Limit Theorems for Linear Statistics of Heavy Tailed Random Matrices (2013) (50)
- Cugliandolo-Kurchan equations for dynamics of Spin-Glasses (2004) (49)
- Asymptotics of unitary and orthogonal matrix integrals (2006) (45)
- Asymptotic expansion of β matrix models in the multi-cut regime (2013) (44)
- GAUSSIAN ASYMPTOTICS OF DISCRETE β-ENSEMBLES (2017) (44)
- Averaged and quenched propagation of chaos for spin glass dynamics (1997) (42)
- Random matrices, free probability, planar algebras and subfactors (2007) (40)
- About the stationary states of vortex systems (1999) (38)
- Free Diffusions and Matrix Models with Strictly Convex Interaction (2007) (38)
- An Introduction to Random Matrices: Introduction (2009) (37)
- Large deviations for the largest eigenvalue of Rademacher matrices (2018) (37)
- Gaussian asymptotics of discrete β$\beta $-ensembles (2015) (35)
- Universality in several-matrix models via approximate transport maps (2014) (35)
- Loop Models, Random Matrices and Planar Algebras (2010) (33)
- Large deviations for Langevin spin glass dynamics (1995) (32)
- Asymptotics of unitary multimatrix models: The Schwinger-Dyson lattice and topological recursion (2014) (31)
- Convergence of the spectral measure of non normal matrices (2011) (29)
- A semi-finite algebra associated to a subfactor planar algebra (2011) (28)
- Beyond Universality in Random Matrix Theory (2014) (27)
- Character expansion method for the first order asymptotics of a matrix integral (2004) (27)
- Regularization by Free Additive Convolution, Square and Rectangular Cases (2007) (26)
- Decay to equilibrium in random spin systems on a lattice (1996) (24)
- A semi-finite algebra associated to a planar algebra (2009) (24)
- An Introduction to Random Matrices: Frontmatter (2009) (24)
- Invariant β-ensembles and the Gauss-Wigner crossover (2012) (24)
- Delocalization at Small Energy for Heavy-Tailed Random Matrices (2016) (23)
- Random matrices and enumeration of maps (2006) (23)
- Support convergence in the single ring theorem (2010) (23)
- Addendum to: large deviations asymptotics for spherical integrals (2004) (22)
- A diffusive matrix model for invariant β -ensembles (2012) (21)
- A diffusive matrix model for invariant $\beta$-ensembles (2012) (21)
- Decay to equilibrium in random spin systems on a lattice. II (1996) (19)
- Central limit theorem for eigenvectors of heavy tailed matrices (2013) (19)
- Dynamics for Spherical Models of Spin-Glass and Aging (2007) (19)
- Large Deviations for the Largest Eigenvalue of Sub-Gaussian Matrices (2019) (19)
- Rigidity and Edge Universality of Discrete β‐Ensembles (2017) (17)
- Moderate deviations for the spectral measure of certain random matrices (2002) (17)
- Aging properties of Sinai's model of random walk in random environment (2001) (16)
- On classical analogues of free entropy dimension (2007) (16)
- Limiting Dynamics for Spherical Models of Spin Glasses at High Temperature (2006) (14)
- Large deviations for the largest eigenvalue of the sum of two random matrices (2018) (14)
- Discussions around Voiculescu's free entropies (2003) (14)
- Asymptotics of Random Matrices and Related Models (2019) (13)
- On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices (2019) (13)
- Large Deviations Upper Bounds and Non Commutative Entropies for Some Matrices Ensembles (2000) (12)
- Large deviation principles via spherical integrals (2020) (12)
- Free transport for convex potentials (2016) (11)
- Langevin Dynamics for Sherrington-Kirkpatrick Spin Glasses (1998) (10)
- Asymptotic Expansion of a Partition Function Related to the Sinh-model (2014) (10)
- Large Deviations Asymptotics of Rectangular Spherical Integral (2021) (10)
- Large deviations for the largest eigenvalues and eigenvectors of spiked Gaussian random matrices (2020) (9)
- Large deviations for the largest eigenvalues and eigenvectors of spiked random matrices (2019) (7)
- Asymptotics of k dimensional spherical integrals and applications (2021) (7)
- Convergence of eigenvalues to the support of the limiting measure in critical $\beta$ matrix models (2014) (6)
- Central Limit Theorem for Non Linear Filtering and Interacting Particle Systems (1999) (6)
- An asymptotic log-Fourier interpretation of the R-transform (2004) (5)
- Timescales of population rarity and commonness in random environments. (2004) (5)
- Uses of Free Probability in Random Matrix Theory (2010) (5)
- Large deviations for Gibbs ensembles of the classical Toda chain (2022) (5)
- Limiting Dynamics for Spherical Models of Spin Glasses at High Temperature (2007) (4)
- Large deviations for generalized Gibbs ensembles of the classical Toda chain (2021) (4)
- Asymptotics of unitary matrix integrals (2006) (4)
- Long time behaviour of the solution to non-linear Kraichnan equations (2004) (4)
- Free analysis and random matrices (2014) (3)
- Stability of precise Laplace's method under approximations; Applications (1999) (3)
- Low-rank Matrix Estimation with Inhomogeneous Noise (2022) (3)
- Central limit theorem and convergence of the support for Wishart matrices with correlated entries (2014) (3)
- Lecture Notes for Course 18.177, Spring 2013 (2013) (2)
- Loop Models, Random Matrices and Planar Algebras (2012) (2)
- Noncommutative Probability and Random Matrices at Saint-Flour (2012) (2)
- Spectrum and pseudospectrum for quadratic polynomials in Ginibre matrices (2020) (2)
- An Introduction to Random Matrices: Free probability (2009) (2)
- Annealed and Quenched Propagation of Chaos for Asymmetric Spin Glass Dynamics (1995) (2)
- Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and of Schur polynomials (2009) (2)
- Chapter 21 Wigner matrices (1)
- Bernoulli Random Matrices (2021) (1)
- Memories of Vaughan Jones (2021) (1)
- Heavy Tailed Random Matrices: How They Differ from the GOE, and Open Problems (2016) (1)
- An Introduction to Random Matrices: Hermite polynomials, spacings and limit distributions for the Gaussian ensembles (2009) (1)
- Large Deviations of the Maximum Eigenvalue (2009) (1)
- Wigner’s theorem (2009) (1)
- Large-N asymptotic expansion of N-dimensional integrals (2013) (1)
- Large deviation principle for the law of the spectral measure of shifted Wigner matrices (2009) (0)
- Free probability setting (2009) (0)
- Concentration inequalities for random matrices (2009) (0)
- Delocalization at Small Energy for Heavy-Tailed Random Matrices (2017) (0)
- Free Monotone Transport Publisher Accessed Terms of Use Free Monotone Transport (0)
- An Introduction to Random Matrices: Appendices (2009) (0)
- The Riemann–Hilbert Approach to the Inversion of Open image in new window (2016) (0)
- Stochastic Analysis: Geometry of Random Processes (2018) (0)
- A Probabilistic Approach to Some Problems in von Neumann Algebras (2005) (0)
- Lecture notes on random matrices (2019) (0)
- Matrix models at low temperature (2022) (0)
- Rare events in Random Matrix theory (2022) (0)
- PR ] 2 1 Ju n 20 05 Combinatorial aspects of matrix models (2008) (0)
- An Introduction to Random Matrices: Preface (2009) (0)
- The Operators Open image in new window (2016) (0)
- Introduction to stochastic analysis (2013) (0)
- Central Limit Theorems for Linear Statistics of Heavy Tailed Random Matrices (2014) (0)
- Second-order expansion for the free energy (2009) (0)
- Basics of matrices (2009) (0)
- Main Results and Strategy of Proof (2016) (0)
- Free monotone transport (2013) (0)
- FLA ON THE STABILITY OF INTERACTING PROCESSES WITH APPLICATIONS TO FILTERING AND GENETIC ALGORITHMS (2001) (0)
- Stochastic analysis for random matrices (2009) (0)
- Uperieure S Ormale N Ecole Large Deviations for Langevin Spin Glass Dynamics Large Deviations for Langevin Spin Glass Dynamics Large Deviations for Langevin Spin Glass Dynamics (1995) (0)
- Free probability , random matrices and the enumeration of maps (2012) (0)
- Concentration inequalities and logarithmic Sobolev inequalities (2009) (0)
- Words in several independent Wigner matrices (2009) (0)
- Large random matrices: lectures on macroscopic asymptotics / Alice Guionnet (2009) (0)
- Stochastic Analysis: Around the KPZ Universality Class (2014) (0)
- An Introduction to Random Matrices: Real and complex Wigner matrices (2009) (0)
- An Introduction to Random Matrices: References (2009) (0)
- ar X iv : m at h / 06 08 19 3 v 1 [ m at h . PR ] 8 A ug 2 00 6 UNITARY MATRIX INTEGRALS (2006) (0)
- 0 Ja n 20 07 Second order asymptotics for matrix models (2008) (0)
- PR ] 7 J ul 2 01 4 TRANSPORT MAPS FOR β-MATRIX MODELS AND UNIVERSALITY (2014) (0)
- Statistical mechanics and random matrices (2009) (0)
- Asymptotic Expansion of Open image in new window—The Schwinger–Dyson Equation Approach (2016) (0)
- Basics of probability theory (2009) (0)
- Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices (2023) (0)
- New interactions of Combinatorics and Probability CIMPA – Summerschool AUGUST (2015) (0)
- Asymptotics of some matrix integrals (2009) (0)
- Large deviations of the extreme eigenvalues of random deformations of matrices (2011) (0)
- Localization and delocalization of eigenvectors for heavy-tailed random matrices (2013) (0)
- Random Matrices (2020) (0)
- Wigner's matrices; more moments estimates (2009) (0)
- Free analysis and random matrices (2016) (0)
- Support convergence in the single ring theorem (2011) (0)
- Maps and Gaussian calculus (2009) (0)
- Asymptotic Expansion of β Matrix Models in the One-cut Regime (2012) (0)
- First-order expansion (2009) (0)
- Asymptotic Analysis of Integrals (2016) (0)
- Large deviations for the law of the spectral measure of Gaussian Wigner's matrices (2009) (0)
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