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nlin.SI2003
Superintegrability, Lax matrices and separation of variables
J. Harnad, O. Yermolayeva
We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the…
nlin.SI2002
Scalar products of symmetric functions and matrix integrals
J. Harnad, A. Yu. Orlov
We present relations between Hirota-type bilinear operators, scalar products on spaces of symmetric functions and integrals defining matrix model partition functions. Using the fer…
nlin.SI2001
Duality of spectral curves arising in two-matrix models
M. Bertola, B. Eynard, J. Harnad
The two matrix model is considered, with measure given by the exponential of a sum of polynomials in two different variables. It is shown how to derive a sequence of pairs of ``dua…