We consider level crossing in a matrix family H = H-0 + lambda V where H-0 is a fixed N x N matrix and V belongs to one of the standard Gaussian random matrix ensembles. We study the probability distribution of level crossing points in the complex plane of lambda, for which we obtain a number of exact, asymptotic and approximate formulas
This work is concerned with the statistical properties of the frequency response function of the ene...
A timely and comprehensive treatment of random field theory with applications across diverse areas o...
We consider a real valued function of a vector valued, differentiable, stationary Gaussian process a...
We consider level crossing in a matrix family H = H-0 + lambda V where H-0 is a fixed N x N matrix a...
Level curvature is a measure of sensitivity of energy levels of a disordered/chaotic system to pertu...
This thesis is concerned with the characteristics and behaviours of random polynomi- als of a high d...
Abstract. In this article, we study in detail a family of random matrix ensembles, which are obtaine...
For any family of $N\times N$ random matrices $(\mathbf{A}_k)_{k\in K}$ whichis invariant, in law, u...
AbstractThere are many known asymptotic estimates for the expected number ofK-level crossings of an ...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
AbstractThis paper provides a new result on the asymptotic estimate for the expected number of mml-l...
Abstract. We obtain the asymptotic behaviour of the nearest-neighbour level spacing distribution for...
Abstract. Matrix perturbation inequalities, such as Weyl’s theorem (con-cerning the singular values)...
The application of the level-crossing theory of multidimensional random processes to the evaluation ...
An important topic in random matrix theory is the study of the statistical properties of the eigenva...
This work is concerned with the statistical properties of the frequency response function of the ene...
A timely and comprehensive treatment of random field theory with applications across diverse areas o...
We consider a real valued function of a vector valued, differentiable, stationary Gaussian process a...
We consider level crossing in a matrix family H = H-0 + lambda V where H-0 is a fixed N x N matrix a...
Level curvature is a measure of sensitivity of energy levels of a disordered/chaotic system to pertu...
This thesis is concerned with the characteristics and behaviours of random polynomi- als of a high d...
Abstract. In this article, we study in detail a family of random matrix ensembles, which are obtaine...
For any family of $N\times N$ random matrices $(\mathbf{A}_k)_{k\in K}$ whichis invariant, in law, u...
AbstractThere are many known asymptotic estimates for the expected number ofK-level crossings of an ...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
AbstractThis paper provides a new result on the asymptotic estimate for the expected number of mml-l...
Abstract. We obtain the asymptotic behaviour of the nearest-neighbour level spacing distribution for...
Abstract. Matrix perturbation inequalities, such as Weyl’s theorem (con-cerning the singular values)...
The application of the level-crossing theory of multidimensional random processes to the evaluation ...
An important topic in random matrix theory is the study of the statistical properties of the eigenva...
This work is concerned with the statistical properties of the frequency response function of the ene...
A timely and comprehensive treatment of random field theory with applications across diverse areas o...
We consider a real valued function of a vector valued, differentiable, stationary Gaussian process a...
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