23 citations · 71 across the 15 of their papers we have counts for
10 papers · 1 filter
Models for the Speiser class
Christopher J. Bishop
The Eremenko-Lyubich class consists of transcendental entire functions with bounded singular set and the Speiser class is made up of functions with a finite singular set. In an ear…
Models for the Eremenko-Lyubich class
Christopher J. Bishop
If is in the Eremenko-Lyubich class (transcendental entire functions with bounded singular set) then and must satisfy certain simple topological…
A Geometric Approach to Polynomial and Rational Approximation
Christopher J. Bishop, Kirill Lazebnik
We strengthen the classical approximation theorems of Weierstrass, Runge and Mergelyan by showing the polynomial and rational approximants can be taken to have a simple geometric s…
Non-compact Riemann surfaces are equilaterally triangulable
Christopher J. Bishop, Lasse Rempe
We show that every open Riemann surface can be obtained by glueing together a countable collection of equilateral triangles, in such a way that every vertex belongs to finitely man…
Speiser class Julia sets with dimension near one
Christopher J. Bishop, Simon Albrecht
For any we construct an entire function with three singular values whose Julia set has Hausdorff dimension at most . Stallard proved that the dimension must be stri…
Conformal mapping in linear time
Christopher J. Bishop
Given any and any planar region bounded by a simple n-gon we construct a (-quasiconformal map between and the unit disk in time . One can take $ C(…