Gaultier Lambert

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20112026

most citedSubcritical multiplicative chaos for regularized counting statistics from random matrix theory

34 citations · 120 across the 21 of their papers we have counts for

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math.PR2016★ 34 cited

Subcritical multiplicative chaos for regularized counting statistics from random matrix theory

Gaultier Lambert, Dmitry Ostrovsky, Nick Simm

For an $N \times N$ random unitary matrix $U_{N}$ , we consider the random field defined by counting the number of eigenvalues of $U_{N}$ in a mesoscopic arc of the unit circle, regular…

math.PR2016★ 6 cited

Incomplete determinantal processes: from random matrix to Poisson statistics

Gaultier Lambert

We study linear statistics of a class of determinantal processes which interpolate between Poisson and GUE/Ginibre statistics in dimension 1 or 2. These processes are obtained by p…

math.PR2016★ 5 cited

The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices

Gaultier Lambert, Elliot Paquette

We compute the leading asymptotics as $N \to \infty$ of the maximum of the field $Q_{N} (q) = lo g det ∣ q - A_{N} ∣$ , $q \in C$ , for any unitarily invariant Hermitian random matrix $A…