Resumen de Interpolation of power mappings
Jack Burkart, Kirill Lazebnik
Let .Mj /1 jD1 2 N and .rj /1 jD1 2 RC be increasing sequences satisfying some mild rate of growth conditions. We prove that there exists an entire function f WC ! C whose behavior in the large annuli ¹z 2 C W rj exp. =Mj / jzj rjC1º is given by a perturbed rescaling of z 7! zMj , such that the only singular values of f are rescalings of ˙r Mj j . We describe several applications to the dynamics of entire functions
