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French mathematician and academic

Gérard Ben Arousmathematics Degrees

Mathematics

#903

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#1593

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Probability Theory

#20

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#35

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Measure Theory

#3145

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#3725

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Mathematics

- PhD Mathematics Université Paris Cité

According to Wikipedia, Gérard Ben Arous is a French mathematician, specializing in stochastic analysis and its applications to mathematical physics. He served as the director of the Courant Institute of Mathematical Sciences at New York University from 2011 to 2016.

- The Loss Surfaces of Multilayer Networks (2014) (1038)
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices (2004) (905)
- Large deviations for Wigner's law and Voiculescu's non-commutative entropy (1997) (357)
- Random Matrices and Complexity of Spin Glasses (2010) (247)
- Aging of spherical spin glasses (2001) (228)
- The Loss Surface of Multilayer Networks (2014) (143)
- The canonical equation of adaptive dynamics: a mathematical view (2002) (140)
- Complexity of random smooth functions on the high-dimensional sphere (2011) (137)
- Large deviations from the circular law (1998) (116)
- Open Problem: The landscape of the loss surfaces of multilayer networks (2015) (115)
- Poisson convergence for the largest eigenvalues of heavy tailed random matrices (2007) (102)
- The Spectrum of Heavy Tailed Random Matrices (2007) (97)
- Universality of local eigenvalue statistics for some sample covariance matrices (2005) (95)
- Scaling limit for trap models on ℤd (2006) (90)
- The Landscape of the Spiked Tensor Model (2017) (90)
- Comparing dynamics: deep neural networks versus glassy systems (2018) (90)
- Dynamics of trap models (2006) (89)
- Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions (2018) (85)
- Current fluctuations for TASEP: A proof of the Pr\ (2009) (77)
- Large deviations for Langevin spin glass dynamics (1995) (77)
- Limit theorems for sums of random exponentials (2005) (76)
- Glauber Dynamics of the Random Energy Model (2003) (74)
- Aging in the random energy model. (2001) (72)
- The arcsine law as a universal aging scheme for trap models (2006) (71)
- Large deviations and the Strassen theorem in Hölder norm (1992) (69)
- Metastability of the Three Dimensional Ising Model on a Torus at Very Low Temperatures (1996) (68)
- Algorithmic thresholds for tensor PCA (2018) (67)
- Universality of the REM for Dynamics of Mean-Field Spin Glasses (2007) (66)
- Hölder norms and the support theorem for diffusions (1994) (64)
- Bouchaud’s model exhibits two different aging regimes in dimension one (2002) (64)
- Multiscale homogenization with bounded ratios and anomalous slow diffusion (2001) (61)
- SCALING LIMIT FOR TRAP MODELS ON (2007) (61)
- Aging in two-dimensional Bouchaud's model (2006) (60)
- A Central Limit Theorem in Many-Body Quantum Dynamics (2011) (55)
- Symmetric Langevin spin glass dynamics (1997) (51)
- Communications in Mathematical Physics Glauber Dynamics of the Random Energy Model II . Aging Below the Critical Temperature ∗ (2003) (50)
- Cugliandolo-Kurchan equations for dynamics of Spin-Glasses (2004) (49)
- Glauber Dynamics of the Random Energy Model (2003) (48)
- Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime (2018) (45)
- Spectral Gap Estimates in Mean Field Spin Glasses (2017) (45)
- Communications in Mathematical Physics Glauber Dynamics of the Random Energy Model I . Metastable Motion on the Extreme States ∗ (45)
- Transition from the annealed to the quenched asymptotics for a random walk on random obstacles (2005) (41)
- Complexity of random energy landscapes (2013) (40)
- Extreme gaps between eigenvalues of random matrices (2010) (40)
- Increasing propagation of chaos for mean field models (1999) (39)
- Methode de laplace: etude variationnelle des fluctuations de diffusions de type (1990) (39)
- Biased random walks on random graphs (2014) (38)
- Biased random walks on a Galton-Watson tree with leaves (2007) (37)
- The construction of thed+1-dimensional gaussian droplet (1996) (33)
- Einstein relation for biased random walk on Galton--Watson trees (2011) (33)
- Large deviations for Langevin spin glass dynamics (1995) (32)
- The Poisson kernel for certain degenerate elliptic operators (1984) (31)
- Free Extreme Values (2005) (30)
- Randomly trapped random walks (2013) (29)
- Landscape Complexity for the Empirical Risk of Generalized Linear Models (2019) (24)
- Free Energy Wells and Overlap Gap Property in Sparse PCA (2020) (24)
- On fluctuations of eigenvalues of random permutation matrices (2011) (24)
- Bounding Flows for Spherical Spin Glass Dynamics (2018) (22)
- Lyons‐Pemantle‐Peres Monotonicity Problem for High Biases (2014) (22)
- Topics in Percolative and Disordered Systems (2014) (22)
- Course 8 - Dynamics of Trap Models (2006) (22)
- Universality and extremal aging for dynamics of spin glasses on subexponential time scales (2012) (21)
- Flow decomposition and large deviations (1996) (19)
- Counting equilibria of large complex systems by instability index (2020) (19)
- Randomly biased walks on subcritical trees (2011) (19)
- Online stochastic gradient descent on non-convex losses from high-dimensional inference (2020) (19)
- Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales (2010) (18)
- Asymptotic survival probabilities in the random saturation process (2000) (18)
- Second Order Expansion for Implied Volatility in Two Factor Local Stochastic Volatility Models and Applications to the Dynamic \lambda -Sabr Model (2015) (16)
- Transition asymptotics for reaction-diffusion in random media (2005) (16)
- Large deviations for Brownian motion on the Sierpinski gasket (2000) (16)
- A New REM Conjecture (2006) (15)
- Super-Diffusivity in a Shear Flow Model¶from Perpetual Homogenization (2001) (14)
- Stochastic approximations to curve-shortening flows via particle systems (2003) (13)
- Scaling Limit for the Ant in High‐Dimensional Labyrinths (2016) (13)
- Elementary potential theory on the hypercube. (2006) (12)
- A Probabilistic Approach to Semi-classical Approximations (1996) (11)
- A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases (2011) (11)
- Scaling limit for the ant in a simple labyrinth (2016) (11)
- Exponential growth of random determinants beyond invariance (2021) (11)
- Universality of random energy model-like ageing in mean field spin glasses (2007) (10)
- Singularities of Hypoelliptic Green Functions (1998) (10)
- Algorithms for stochastic approximations of curvature flows (2003) (10)
- Langevin Dynamics for Sherrington-Kirkpatrick Spin Glasses (1998) (10)
- Landscape complexity beyond invariance and the elastic manifold (2021) (10)
- Free point processes and free extreme values (2009) (10)
- Laplace asymptotics for reaction-diffusion equations (1993) (10)
- High-dimensional limit theorems for SGD: Effective dynamics and critical scaling (2022) (9)
- Scaling limit for the ant in a simple high-dimensional labyrinth (2018) (8)
- Complexity of random smooth functions of many variables (2011) (8)
- REM Universality for Random Hamiltonians (2009) (7)
- Shattering Versus Metastability in Spin Glasses (2021) (7)
- Internal DLA in a random environment (2003) (6)
- Very rare events for diffusion processes in short time (2019) (6)
- A two armed bandit type problem (2003) (6)
- Long Random Matrices and Tensor Unfolding (2021) (6)
- The rate function of hypoelliptic diffusions (1994) (4)
- Phase Transition for the Spherical Hierarchical Model (2002) (4)
- Schilder's large deviation theorem without topology (1993) (3)
- A classification for the performance of online SGD for high-dimensional inference (2020) (3)
- Growth and saturation in random media (2000) (3)
- Stochastic analysis in mathematical physics (2007) (3)
- Precise asymptotics in large deviations (1993) (3)
- Limit laws for sums of random exponentials (2004) (2)
- Large deviations in the Langevin dynamics of a short-range spin glass (2003) (2)
- Annealed and Quenched Propagation of Chaos for Asymmetric Spin Glass Dynamics (1995) (2)
- Sharp complexity asymptotics and topological trivialization for the (p, k) spiked tensor model (2021) (2)
- Spatio-temporal large deviations principle for coupled circle maps (2004) (2)
- Large deviations in the Langevin dynamics of a random field Ising model (2003) (2)
- Universality of REM-like aeging in mean field spin glasses (2007) (2)
- Limit Laws for Random Exponentials (2003) (2)
- Phase transition asymptotics for random walks on a stationary random potential (2005) (1)
- Quenched asymptotics for survival probabilities in the random saturation process (1999) (1)
- Chapter 21 Wigner matrices (1)
- Spectral Gap Estimates in Mean Field Spin Glasses (2018) (1)
- Scaling limits for random walks on random critical trees (2017) (1)
- Geometric description of the spherical Spin-Glass Gibbs measures and temperature chaos (2018) (0)
- Smallest Singular Value for Perturbations of Random Permutation Matrices (2014) (0)
- Stochastic analysis in mathematical physics : proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, 4-8 September 2006 (2008) (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)
- SOME ASPECTS OF SLOW RELAXATION TO EQUILIBRIUM (2015) (0)
- Coupling constructions for hypoelliptic diffusions (1994) (0)
- A Central Limit Theorem in Many-Body Quantum Dynamics (2013) (0)
- SEMINAR ON STOCHASTIC PROCESSES, 2000 ANOMALOUSLY SLOW DIFFUSION AND HOMOGENISATION ON INFINITELY MANY SCALES (2000) (0)
- The Complexity of Random Functions of Many Variables (2016) (0)
- Preface: From the Director (2012) (0)
- Metastability for dynamics of the 3D Ising model (1996) (0)
- Stable limit laws and structure of the scaling function for reaction-diffusion in random environment (2017) (0)
- Extreme Gaps between Eigenvalues of Random Matrices Extreme Gaps between Eigenvalues of Random Matrices (2011) (0)
- Preface: From the Director (2012) (0)
- Scaling limit for the ant in a simple high-dimensional labyrinth (2018) (0)
- Crystalline Stochastic Systems and Curvature Driven Flows (2003) (0)
- Bounding Flows for Spherical Spin Glass Dynamics (2019) (0)
- Lecturers who Contributed to this volume (2006) (0)

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