Y. Ameur

activity

20052026

most citedFluctuations of eigenvalues of random normal matrices

153 citations · 388 across the 27 of their papers we have counts for

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Showing 2023 · math-phShow all

2 papers · 2 filters

math-ph2023

Random normal matrices: eigenvalue correlations near a hard wall

Yacin Ameur, Christophe Charlier, Joakim Cronvall

We study pair correlation functions for planar Coulomb systems in the pushed phase, near a ring-shaped impenetrable wall. We assume coupling constant $Γ = 2$ and that the number $n$ …

math-ph2023

Eigenvalues of truncated unitary matrices: disk counting statistics

Yacin Ameur, Christophe Charlier, Philippe Moreillon

Let $T$ be an $n \times n$ truncation of an $(n + α) \times (n + α)$ Haar distributed unitary matrix. We consider the disk counting statistics of the eigenvalues of $T$ . We prove that as…