23 citations · 71 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
Nonobtuse triangulations of PSLGs
Christopher J. Bishop
We show that any planar straight line graph (PSLG) with vertices has a conforming triangulation by nonobtuse triangles (all angles ), answering the…
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(…
The order conjecture fails in S
Christopher J. Bishop
We construct an entire function with only three singular values whose order of growth can change under a quasiconformal equivalence. This is a counterexample to the Order Conje…
True trees are dense
Christopher J. Bishop
We show that any compact, connected set in the plane can be approximated by the critical points of a polynomial with two critical values. Equivalently, can be approximated…