104 citations · 262 across the 5 of their papers we have counts for
7 papers
Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions
M. Bertola, B. Eynard, J. Harnad
The differential systems satisfied by orthogonal polynomials with arbitrary semiclassical measures supported on contours in the complex plane are derived, as well as the compatible…
The PDEs of biorthogonal polynomials arising in the two-matrix model
M. Bertola, B. Eynard
The two-matrix model can be solved by introducing bi-orthogonal polynomials. In the case the potentials in the measure are polynomials, finite sequences of bi-orthogonal polynomial…
BMN Correlators by Loop Equations
B. Eynard, C. Kristjansen
In the BMN approach to N=4 SYM a large class of correlators of interest are expressible in terms of expectation values of traces of words in a zero-dimensional Gaussian complex mat…
Partition functions for Matrix Models and Isomonodromic Tau functions
M. Bertola, B. Eynard, J. Harnad
For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2x2 polynomial differential sy…
Duality, Biorthogonal Polynomials and Multi-Matrix Models
M. Bertola, B. Eynard, J. Harnad
The statistical distribution of eigenvalues of pairs of coupled random matrices can be expressed in terms of integral kernels having a generalized Christoffel--Darboux form constru…
More on the exact solution of the O(n) model on a random lattice and an investigation of the case |n|>2
B. Eynard, C. Kristjansen
For the model on a random lattice has critical points to which a scaling behaviour characteristic of 2D gravity interacting with conformal matter fields with $…