32 citations · 56 across the 5 of their papers we have counts for
5 papers · 1 filter
Piecewise geodesic Jordan curves I: weldings, explicit computations, and Schwarzian derivatives
Donald Marshall, Steffen Rohde, Yilin Wang
We consider Jordan curves of the form on the Riemann sphere for which each is a hyperbolic geodesic in .…
Collisions and Spirals of Loewner Traces
Joan Lind, Donald E. Marshall, Steffen Rohde
We analyze Loewner traces driven by functions asymptotic to K\sqrt{1-t}. We prove a stability result when K is not 4 and show that K=4 can lead to non locally connected hulls. As a…
Area, capacity and diameter versions of Schwarz's Lemma
Robert B. Burckel, Donald E. Marshall, David Minda +2
The now canonical proof of Schwarz's Lemma appeared in a 1907 paper of Carathéodory, who attributed it to Erhard Schmidt. Since then, Schwarz's Lemma has acquired considerable fame…
Convergence of the Zipper algorithm for conformal mapping
Donald E. Marshall, Steffen Rohde
In the early 1980's an elementary algorithm for computing conformal maps was discovered by R. Kühnau and the first author. The algorithm is fast and accurate, but convergence was n…
On a theorem of Landau and Toeplitz
Robert B. Burckel, Donald E. Marshall, Pietro Poggi-Corradini
The now canonical proof of Schwarz's Lemma appeared in a 1907 paper of Carathéodory, who attributed it to Erhard Schmidt. Since then, Schwarz's Lemma has acquired considerable fame…