In this paper, we study the probability distribution of the center of mass of the finite n Jacobi unitary ensembles with parameters alpha and beta; that is the probability that trace M_n is in (c, c+dc), where M_n are n by n matrices of the Jacobi unitary ensemble. We first compute the eponential moment generating function of the linear statistics c=x_1+...+x_n
We consider the Jacobi polynomial ensemble of n X n random matrices. We show that the probability of...
We prove the Central Limit Theorem (CLT) for the number of eigenvalues near the spectrum edge for ce...
AbstractUsing Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops t...
In this paper, we study the probability density function, $\mathbb{P}(c,\alpha,\beta, n)\,dc$, of th...
Killip and Nenciu gave random recurrences for the characteristic polynomials of certain unitary and ...
We study the moment-generating functions (MGF) for linear eigenvalue statistics of Jacobi unitary, s...
AbstractIn this paper, we study a certain linear statistics of the unitary Laguerre ensembles, motiv...
The problem of calculating the scaled limit of the joint moments of the characteristic polynomial, a...
Using the spectral theory of unitary operators and the theory of orthogonal polynomials on the unit ...
© 2017 IOP Publishing Ltd & London Mathematical Society.We compute explicit formulae for the moments...
AbstractWe generally study the density of eigenvalues in unitary ensembles of random matrices from t...
We express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurw...
Motivated by recent results in random matrix theory we will study the distributions arising from pro...
Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theor...
We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circ...
We consider the Jacobi polynomial ensemble of n X n random matrices. We show that the probability of...
We prove the Central Limit Theorem (CLT) for the number of eigenvalues near the spectrum edge for ce...
AbstractUsing Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops t...
In this paper, we study the probability density function, $\mathbb{P}(c,\alpha,\beta, n)\,dc$, of th...
Killip and Nenciu gave random recurrences for the characteristic polynomials of certain unitary and ...
We study the moment-generating functions (MGF) for linear eigenvalue statistics of Jacobi unitary, s...
AbstractIn this paper, we study a certain linear statistics of the unitary Laguerre ensembles, motiv...
The problem of calculating the scaled limit of the joint moments of the characteristic polynomial, a...
Using the spectral theory of unitary operators and the theory of orthogonal polynomials on the unit ...
© 2017 IOP Publishing Ltd & London Mathematical Society.We compute explicit formulae for the moments...
AbstractWe generally study the density of eigenvalues in unitary ensembles of random matrices from t...
We express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurw...
Motivated by recent results in random matrix theory we will study the distributions arising from pro...
Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theor...
We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circ...
We consider the Jacobi polynomial ensemble of n X n random matrices. We show that the probability of...
We prove the Central Limit Theorem (CLT) for the number of eigenvalues near the spectrum edge for ce...
AbstractUsing Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops t...