88 citations · 559 across the 17 of their papers we have counts for
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math.PR2013★ 20 cited
Tracy-Widom at high temperature
Romain Allez, Laure Dumaz
We investigate the marginal distribution of the bottom eigenvalues of the stochastic Airy operator when the inverse temperature tends to . We prove that the minimal eigenval…
math.PR2013★ 25 cited
Index Distribution of the Ginibre Ensemble
Romain Allez, Jonathan Touboul, Gilles Wainrib
Complex systems, and in particular random neural networks, are often described by randomly interacting dynamical systems with no specific symmetry. In that context, characterizing…
math.PR2013★ 24 cited
Eigenvector dynamics under free addition
Romain Allez, Jean-Philippe Bouchaud
We investigate the evolution of a given eigenvector of a symmetric (deterministic or random) matrix under the addition of a matrix in the Gaussian orthogonal ensemble. We quantify…