81 citations · 202 across the 10 of their papers we have counts for
10 papers
Universality for orthogonal and symplectic Laguerre-type ensembles
Percy Deift, Dimitri Gioev, Thomas Kriecherbauer +1
We give a proof of the Universality Conjecture for orthogonal (beta=1) and symplectic (beta=4) random matrix ensembles of Laguerre-type in the bulk of the spectrum as well as at th…
Universality of a double scaling limit near singular edge points in random matrix models
T. Claeys, M. Vanlessen
We consider unitary random matrix ensembles Z_{n,s,t}^{-1}e^{-n tr V_{s,t}(M)}dM on the space of Hermitian n x n matrices M, where the confining potential V_{s,t} is such that the…
The existence of a real pole-free solution of the fourth order analogue of the Painleve I equation
T. Claeys, M. Vanlessen
We establish the existence of a real solution y(x,T) with no poles on the real line of the following fourth order analogue of the Painleve I equation, x=Ty-({1/6}y^3+{1/24}(y_x^2+2…
Multi-critical unitary random matrix ensembles and the general Painleve II equation
T. Claeys, A. B. J. Kuijlaars, M. Vanlessen
We study unitary random matrix ensembles of the form $Z_{n,N}^{-1} |\det M|^{2α} e^{-N \Tr V(M)}dM$, where and is such that the limiting mean eigenvalue density for $n…
Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
M. Vanlessen
We consider polynomials orthogonal on with respect to Laguerre-type weights , where and where denotes a polynomial with positive leading…
Universal behavior for averages of characteristic polynomials at the origin of the spectrum
M. Vanlessen
It has been shown by Strahov and Fyodorov that averages of products and ratios of characteristic polynomials corresponding to Hermitian matrices of a unitary ensemble, involve kern…