2 papers
nlin.SI2008
Multiple orthogonal polynomials, string equations and the large-n limit
L. Martinez Alonso, E. Medina
The Riemann-Hilbert problems for multiple orthogonal polynomials of types I and II are used to derive string equations associated to pairs of Lax-Orlov operators. A method for dete…
nlin.SI2008★ 10 cited
The double scaling limit method in the Toda hierarchy
L. Martinez Alonso, E. Medina
Critical points of semiclassical expansions of solutions to the dispersionful Toda hierarchy are considered and a double scaling limit method of regularization is formulated. The a…