10 citations · 19 across the 3 of their papers we have counts for
3 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…
nlin.SI2006★ 9 cited
Genus-zero Whitham hierarchies in conformal-map dynamics
Luis Martinez Alonso, Elena Medina
A scheme for solving quasiclassical string equations is developped to prove that genus-zero Whitham hierarchies describe the deformations of planar domains determined by rational c…