162 citations · 1.3k across the 49 of their papers we have counts for
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Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph
Charles Bordenave, Pietro Caputo, Djalil Chafaï +1
We consider the random Markov matrix obtained by assigning i.i.d. non-negative weights to each edge of the complete oriented graph. In this study, the weights have unbounded first…
Concentration for Coulomb gases and Coulomb transport inequalities
Djalil Chafai, Adrien Hardy, Mylène Maïda
We study the non-asymptotic behavior of Coulomb gases in dimension two and more. Such gases are modeled by an exchangeable Boltzmann-Gibbs measure with a singular two-body interact…
On the spectral radius of a random matrix: an upper bound without fourth moment
Charles Bordenave, Pietro Caputo, Djalil Chafai +1
Consider a square matrix with independent and identically distributed entries of zero mean and unit variance. It is well known that if the entries have a finite fourth moment, then…
On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group
Michel Bonnefont, Djalil Chafaï, Ronan Herry
In this note, we derive a new logarithmic Sobolev inequality for the heat kernel on the Heisenberg group. The proof is inspired from the historical method of Leonard Gross with the…