Add to ORKGWe present recent progess on the extremal values of (the logarithm of) the characteristic polynomial of a random unitary matrix whose spectrum is distributed according to the Circular Beta Ensemble. Using different techniques, it constitutes a follow-up to the work by Arguin, Belius, Bourgade on the one hand, and Paquette, Zeitouni on the other hand. They recently treated the CUE case, which corresponds to beta equal to 2Non UBCUnreviewedAuthor affiliation: Institut de Mathématiques de ToulouseFacult
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ...
International audienceWe evaluate averages involving characteristic polynomials, inverse characteris...
We show that for any linear combination of characteristic polynomials of independent random unitary ...
The problem of convergence of the joint moments, which depend on two parameters $s$ and $h$, of the ...
Abstract: We study the characteristic polynomialsZ(U, θ) of matricesU in the Circular Unitary Ensemb...
SIGLEAvailable from British Library Document Supply Centre-DSC:4335.26206(2000-17) / BLDSC - British...
We present the results of systematic numerical computations relating to the extreme value statistics...
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and...
We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circ...
31 pagesFor a natural extension of the circular unitary ensemble of order n, we study as n tends to ...
We establish a central limit theorem for the logarithm of the characteristic polynomial of a random ...
In a recent work Killip and Nenciu gave random recurrences for the characteristic polynomia...
Denoting by PN(A, θ) = det (I- Ae-iθ) the characteristic polynomial on the unit circle in the comple...
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and...
We present detailed computations of the 'at least finite' terms (three dominant orders) of the free ...
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ...
International audienceWe evaluate averages involving characteristic polynomials, inverse characteris...
We show that for any linear combination of characteristic polynomials of independent random unitary ...
The problem of convergence of the joint moments, which depend on two parameters $s$ and $h$, of the ...
Abstract: We study the characteristic polynomialsZ(U, θ) of matricesU in the Circular Unitary Ensemb...
SIGLEAvailable from British Library Document Supply Centre-DSC:4335.26206(2000-17) / BLDSC - British...
We present the results of systematic numerical computations relating to the extreme value statistics...
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and...
We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circ...
31 pagesFor a natural extension of the circular unitary ensemble of order n, we study as n tends to ...
We establish a central limit theorem for the logarithm of the characteristic polynomial of a random ...
In a recent work Killip and Nenciu gave random recurrences for the characteristic polynomia...
Denoting by PN(A, θ) = det (I- Ae-iθ) the characteristic polynomial on the unit circle in the comple...
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and...
We present detailed computations of the 'at least finite' terms (three dominant orders) of the free ...
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ...
International audienceWe evaluate averages involving characteristic polynomials, inverse characteris...
We show that for any linear combination of characteristic polynomials of independent random unitary ...