Add to ORKGThe two matrix model is considered with measure given by the exponential of a sum of polynomials in two dierent variables. It is shown how to derive a sequence of pairs of \dual" nite size systems of ODEs for the corresponding biorthonormal polynomials. An inverse theorem is proved showing how to reconstruct such measures from pairs of semi-innite nite band matrices dening the recursion relations and satisfying the string equation. A proof is given in the N!1 limit that the dual systems obtained share the same spectral curve.
We consider biorthogonal polynomials that arise in the study of a generalization of two–matrix Hermi...
In this paper we complement our recent result on the explicit formula for the planar limit of the fr...
Abstract. We review some of the current research in multiparameter spectral theory. We prove a versi...
We consider the two-matrix model with the measure given by the exponential of a sum of polynomials i...
The statistical distribution of eigenvalues of pairs of coupled random matrices can be expressed in ...
We explore spectral duality in the context of measures in ℝ n, starting with partial differential op...
We explore spectral duality in the context of measures in a e (n) , starting with partial differenti...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...
We solve a spectral and an inverse spectral problem arising in the computation of peakon solutions t...
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a cha...
We solve a spectral and an inverse spectral problem arising in the computation of peakon solutions t...
We introduce a new class of two (multi)-matrix models of positive Hermitean matrices coupled in a ch...
latex, 1 figure, 55 pagesWe compute the mixed correlation function in a way which involves only the ...
Systems of linear evolution equations can be written as a single equation (t) = Au(t), where u is a ...
We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion...
We consider biorthogonal polynomials that arise in the study of a generalization of two–matrix Hermi...
In this paper we complement our recent result on the explicit formula for the planar limit of the fr...
Abstract. We review some of the current research in multiparameter spectral theory. We prove a versi...
We consider the two-matrix model with the measure given by the exponential of a sum of polynomials i...
The statistical distribution of eigenvalues of pairs of coupled random matrices can be expressed in ...
We explore spectral duality in the context of measures in ℝ n, starting with partial differential op...
We explore spectral duality in the context of measures in a e (n) , starting with partial differenti...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...
We solve a spectral and an inverse spectral problem arising in the computation of peakon solutions t...
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a cha...
We solve a spectral and an inverse spectral problem arising in the computation of peakon solutions t...
We introduce a new class of two (multi)-matrix models of positive Hermitean matrices coupled in a ch...
latex, 1 figure, 55 pagesWe compute the mixed correlation function in a way which involves only the ...
Systems of linear evolution equations can be written as a single equation (t) = Au(t), where u is a ...
We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion...
We consider biorthogonal polynomials that arise in the study of a generalization of two–matrix Hermi...
In this paper we complement our recent result on the explicit formula for the planar limit of the fr...
Abstract. We review some of the current research in multiparameter spectral theory. We prove a versi...