Beiträge zum Kontinuitätsbeweise der Existenz linear-polymorpher Funktionen auf Riemannschen Flächen. (Mit 53 Figuren im Text)
Billards en polygones et groupes fuchsiens
Bounded geometry of quadrilaterals and variation of multipliers for rational maps
Let Q be the unit square in the plane and h: Q → h(Q) a quasiconformal map. When h is conformal off a certain self-similar set, the modulus of h(Q) is bounded independent of h. We apply this observation to give explicit estimates for the variation of multipliers of repelling fixed points under a "spinning" quasiconformal deformation of a particular cubic polynomial.