#### Filter Results:

- Full text PDF available (49)

#### Publication Year

1995

2018

- This year (1)
- Last 5 years (5)
- Last 10 years (13)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Jinho Baik, Gérard Ben Arous, Sandrine Péché
- 2005

We compute the limiting distributions of the largest eigenvalue of a complex Gaussian sample covariance matrix when both the number of samples and the number of variables in each sample become large.… (More)

We study the spectral measure of Gaussian Wigner's matrices and prove that it satis®es a large deviation principle. We show that the good rate function which governs this principle achieves its… (More)

- Jinho Baik, Gérard Ben Arous, Sandrine Péché
- 2008

We compute the limiting distributions of the largest eigenvalue of a complex Gaussian sample covariance matrix when both the number of samples and the number of variables of each sample become large.… (More)

- ANTONIO AUFFINGER, Gérard Ben Arous, Jirí Cerný
- 2011

We give an asymptotic evaluation of the complexity of spherical p-spin spinglass models via random matrix theory. This study enables us to obtain detailed information about the bottom of the energy… (More)

- Anna Choromanska, Mikael Henaff, Michaël Mathieu, Gérard Ben Arous, Yann LeCun
- AISTATS
- 2015

We study the connection between the highly non-convex loss function of a simple model of the fully-connected feed-forward neural network and the Hamiltonian of the spherical spin-glass model under… (More)

- Gérard Ben Arous
- 2004

We consider random, complex sample covariance matrices 1 N X ∗X, whereX is a p× N random matrix with i.i.d. entries of distribution μ. It has been conjectured that both the distribution of the… (More)

The Darwinian evolution of a quantitative adaptive character is described as a jump process. As the variance of the distribution of mutation steps goes to zero, this process converges in law to the… (More)

Take XN to be a symmetric matrix with real independent (modulo the symmetry constraint) equidistributed entries with law P and denote (λ1, · · · , λN) its eigenvalues. Then, Wigner [14] has shown… (More)

- Gérard Ben Arous, Sandrine Péché, Antonio Auffinger
- 2007

We study the statistics of the largest eigenvalues of real symmetric and sample covariance matrices when the entries are heavy tailed. Extending the result obtained by Soshnikov in [15], we prove… (More)

We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on abstract conditions on the potential theory of the underlying graph and on the… (More)