%0 Journal Article
%A Martínez Alonso, Luis
%A Medina Reus, Elena
%T Genus-zero Whitham hierarchies in conformal-map dynamics
%D 2006
%@ 0370-2693
%U https://hdl.handle.net/20.500.14352/51639
%X A scheme for solving quasiclassical-string equations is developed to prove that genus-zero  hitham hierarchies describe the deformations of planar domains determined by rational conformal-maps. This property is applied in normal matrix models to show that deformations of simply-connected supports of eigenvalues under changes of coupling constants are governed by genus-zero Whitham hierarchies.
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