Interpolation of power mappings
Jack Burkart
University of Wisconsin-Madison, USAKirill Lazebnik
University of North Texas, Denton, USA
![Interpolation of power mappings cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-39-issue-3.png&w=3840&q=90)
Abstract
Let and be increasing sequences satisfying some mild rate of growth conditions. We prove that there exists an entire function whose behavior in the large annuli is given by a perturbed rescaling of , such that the only singular values of are rescalings of . We describe several applications to the dynamics of entire functions.
Cite this article
Jack Burkart, Kirill Lazebnik, Interpolation of power mappings. Rev. Mat. Iberoam. 39 (2023), no. 3, pp. 1181–1200
DOI 10.4171/RMI/1359