For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2 × 2 polynomial differential systems satisfied by the associated orthogonal polynomials is derived
The statistical distribution of eigenvalues of pairs of coupled random matrices can be expressed in ...
The Brezin-Gross-Witten tau function is a tau function of the KdV hierarchy which arises in the weak...
We provide an integral formula for the free energy of the two-matrix model with polynomial potential...
The differential systems satisfied by orthogonal polynomials with arbitrary semiclassical measures s...
We consider the Itzykson-Zuber-Eynard-Mehta two-matrix model and prove that the partition function i...
International audienceWe consider the Itzykson-Zuber-Eynard-Mehta two-matrix model and prove that th...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...
We consider a wide class of determinants whose entries are moments of the so-called semiclassical fu...
In this thesis we study partition functions given by matrix integrals from the point of view of isom...
International audienceWe discuss an extension of the Jimbo–Miwa–Ueno differential 1-form to a form c...
Schmidt H-J, Schnack J. Partition functions and symmetric polynomials. Am. J. Phys. 2002;70:53
We provide an integral formula for the free energy of the two-matrix model with polynomial potential...
The isomonodromic tau-functions are usually only defined up to monodromy-dependent normalisation fac...
We introduce a new class of graph parameters coming from invariants of the orthosymplectic group, wh...
Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating ...
The statistical distribution of eigenvalues of pairs of coupled random matrices can be expressed in ...
The Brezin-Gross-Witten tau function is a tau function of the KdV hierarchy which arises in the weak...
We provide an integral formula for the free energy of the two-matrix model with polynomial potential...
The differential systems satisfied by orthogonal polynomials with arbitrary semiclassical measures s...
We consider the Itzykson-Zuber-Eynard-Mehta two-matrix model and prove that the partition function i...
International audienceWe consider the Itzykson-Zuber-Eynard-Mehta two-matrix model and prove that th...
The two-matrix model can be solved by introducing biorthogonal polynomials. In the case the potentia...
We consider a wide class of determinants whose entries are moments of the so-called semiclassical fu...
In this thesis we study partition functions given by matrix integrals from the point of view of isom...
International audienceWe discuss an extension of the Jimbo–Miwa–Ueno differential 1-form to a form c...
Schmidt H-J, Schnack J. Partition functions and symmetric polynomials. Am. J. Phys. 2002;70:53
We provide an integral formula for the free energy of the two-matrix model with polynomial potential...
The isomonodromic tau-functions are usually only defined up to monodromy-dependent normalisation fac...
We introduce a new class of graph parameters coming from invariants of the orthosymplectic group, wh...
Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating ...
The statistical distribution of eigenvalues of pairs of coupled random matrices can be expressed in ...
The Brezin-Gross-Witten tau function is a tau function of the KdV hierarchy which arises in the weak...
We provide an integral formula for the free energy of the two-matrix model with polynomial potential...
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