We present new and streamlined proofs of various formulas for products and ratios of characteristic polynomials of random Hermitian matrices that have appeared recently in the literature. © 2003 American Institute of Physics.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/70445/2/JMAPAQ-44-8-3657-1.pd
In this article we study the large $N$ asymptotics of complex moments of the absolute value of the c...
summary:In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting fr...
In this paper, we first recall Hermite polynomials, a particular family of orthogonal polynomials. W...
We calculate the expectation value of an arbitrary product of characteristic polynomials of complex...
We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circ...
The research in Nottingham was supported by EPSRC grant EP/C515056/1: “Random Matrices and Polynomia...
It has been shown recently by Fyodorov and Strahov [math-ph/0204051] that Cauchy transforms of ortho...
AbstractMultiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polyno...
Akemann G, Vernizzi G. Characteristic Polynomials of Complex Random Matrix Models. Nucl.Phys. B. 200...
We compute correlation functions of inverse powers and ratios of characteristic polynomials for rand...
We calculate the moments of the characteristic polynomials of N × N matrices drawn from the Hermitia...
AbstractWe consider asymptotics of ratios of random characteristic polynomials associated with ortho...
Motivated by recent results in random matrix theory we will study the distributions arising from pro...
Akemann G, Strahov E, Würfel TR. Averages of products and ratios of characteristic polynomials in po...
Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed momen...
In this article we study the large $N$ asymptotics of complex moments of the absolute value of the c...
summary:In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting fr...
In this paper, we first recall Hermite polynomials, a particular family of orthogonal polynomials. W...
We calculate the expectation value of an arbitrary product of characteristic polynomials of complex...
We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circ...
The research in Nottingham was supported by EPSRC grant EP/C515056/1: “Random Matrices and Polynomia...
It has been shown recently by Fyodorov and Strahov [math-ph/0204051] that Cauchy transforms of ortho...
AbstractMultiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polyno...
Akemann G, Vernizzi G. Characteristic Polynomials of Complex Random Matrix Models. Nucl.Phys. B. 200...
We compute correlation functions of inverse powers and ratios of characteristic polynomials for rand...
We calculate the moments of the characteristic polynomials of N × N matrices drawn from the Hermitia...
AbstractWe consider asymptotics of ratios of random characteristic polynomials associated with ortho...
Motivated by recent results in random matrix theory we will study the distributions arising from pro...
Akemann G, Strahov E, Würfel TR. Averages of products and ratios of characteristic polynomials in po...
Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed momen...
In this article we study the large $N$ asymptotics of complex moments of the absolute value of the c...
summary:In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting fr...
In this paper, we first recall Hermite polynomials, a particular family of orthogonal polynomials. W...