23 citations · 71 across the 15 of their papers we have counts for
17 papers
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…
Equilateral Triangulations and The Postcritical Dynamics of Meromorphic Functions
Christopher J. Bishop, Kirill Lazebnik, Mariusz Urbański
We show that any dynamics on any planar set discrete in some domain can be realized by the postcritical dynamics of a function holomorphic in , up to a small perturbatio…
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…
Quadrilateral meshes for PSLGs
Christopher J. Bishop
We prove that every planar straight line graph with vertices has a conforming quadrilateral mesh with elements, all angles and all new angles $\geq 60…