82 citations · 566 across the 38 of their papers we have counts for
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math-ph2014★ 24 cited
Asymptotics for the partition function in two-cut random matrix models
Tom Claeys, Tamara Grava, Kenneth D. T-R McLaughlin
We obtain large N asymptotics for the Hermitian random matrix partition function \[Z_N(V)=\int_{\mathbb R^N}\prod_{i<j}(x_i-x_j)^2 \prod_{j=1}^N e^{-N V(x_j)}dx_j,\] in the case wh…
math-ph2014★ 10 cited
Asymptotics for Toeplitz determinants: perturbation of symbols with a gap
Christophe Charlier, Tom Claeys
We study the determinants of Toeplitz matrices as the size of the matrices tends to infinity, in the particular case where the symbol has two jump discontinuities and tends to zero…
math-ph2014★ 72 cited
Toeplitz determinants with merging singularities
T. Claeys, I. Krasovsky
We study asymptotic behavior for determinants of Toeplitz matrices corresponding to symbols with two Fisher-Hartwig singularities at the distance from each oth…