2 papers
math.CV2026
Möbius Maps, Reflections and Lipschitz Constants
Alan F. Beardon, Toshiyuki Sugawa, Matti Vuorinen
We introduce the chordal isometric circle of a Möbius map, and use this to give a factorization of any Möbius map as the composition of a chordal isometry and either a reflection,…
math.GT2024
Computing distances on Riemann surfaces
Huck Stepanyants, Alan Beardon, Jeremy Paton +1
Riemann surfaces are among the simplest and most basic geometric objects. They appear as key players in many branches of physics, mathematics, and other sciences. Despite their wid…