Publication: Genus-zero Whitham hierarchies in conformal-map dynamics
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2006-08-26
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Elsevier Science BV
Abstract
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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©2006 Elsevier B.V.
Partially supported by MEC project FIS2005-00319
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