Proceedings of the National Academy of Sciences of the United States of America

About the PNAS Member Editor
Name Ben Arous, Gerard
Location New York University
Primary Field Applied Mathematical Sciences
 Research Interests
GĂ©rard Ben Arous's work began with the study of the geometry of hypo-elliptic operators and their heat kernels, using the tools of stochastic analysis and of large deviations theory. These tools were then used to understand a rather different field i.e. dynamical phase transitions and aging phenomena in statistical physics, and in particular for the dynamics of Spin Glasses, or for the questions of anomalously slow diffusion in random media, which both exhibit a common feature of gradual exploration of complex random trapping landscapes. Some of these questions asked for a better understanding of questions of Random Matrix Theory, as large deviations, or the phase transition for the top eigenvalue of a random matrix submitted to a finite rank perturbation.

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