Bounded geometry of quadrilaterals and variation of multipliers for rational maps

@article{KevinM2004,
abstract = {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.},
author = {Kevin M. Pilgrim},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {137-150},
title = {Bounded geometry of quadrilaterals and variation of multipliers for rational maps},
url = {http://eudml.org/doc/283193},
volume = {182},
year = {2004},
}

TY - JOUR
AU - Kevin M. Pilgrim
TI - Bounded geometry of quadrilaterals and variation of multipliers for rational maps
JO - Fundamenta Mathematicae
PY - 2004
VL - 182
IS - 2
SP - 137
EP - 150
AB - 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.
LA - eng
UR - http://eudml.org/doc/283193
ER -