4 papers
A transportation approach to the mean-field approximation
Fanny Augeri
We develop transportation-entropy inequalities which are saturated for measures such that their log-density with respect to the background measure is an affine function, in the set…
Nonlinear large deviation bounds with applications to traces of Wigner matrices and cycles counts in Erdös-Renyi graphs
Fanny Augeri
We prove general nonlinear large deviation estimates similar to Chatterjee-Dembo's original bounds except that we do not require any second order smoothness. Our approach relies on…
On heavy-tail phenomena in some large deviations problems
Fanny Augeri
In this paper, we revisit the proof of the large deviations principle of Wiener chaoses partially given by Borel, and then by Ledoux in its full form. We show that some heavy-tail…
On the large deviations of traces of random matrices
Fanny Augeri
We present large deviations principles for the moments of the empirical spectral measure of Wigner matrices and empirical measure of -ensembles in three cases : the case of Wign…