RT Journal Article T1 Genus-zero Whitham hierarchies in conformal-map dynamics A1 Martínez Alonso, Luis A1 Medina Reus, Elena AB 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. PB Elsevier Science BV SN 0370-2693 YR 2006 FD 2006-08-26 LK https://hdl.handle.net/20.500.14352/51639 UL https://hdl.handle.net/20.500.14352/51639 LA eng NO ©2006 Elsevier B.V.Partially supported by MEC project FIS2005-00319 NO Ministerio de Educación y Ciencia, Spain DS Docta Complutense RD 5 abr 2025