1 citations · 1 across the 4 of their papers we have counts for
4 papers
Dirichlet domains and the NEC uniformization of extremal hyperbolic surfaces
Ernesto Girondo, Claudia Muñoz
Extremal hyperbolic surfaces are finite-type hyperbolic surfaces that contain an embedded disc of the largest possible radius. We introduce a new general approach to these objects,…
The minima of the geodesic length functions of uniform filling curves
Ernesto Girondo, Gabino González-Diez, Rubén A. Hidalgo
There is a natural link between (multi-)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic l…
A brute force computer aided proof of an existence result about extremal hyperbolic surfaces
Ernesto Girondo, Cristian Reyes
Extremal compact hyperbolic surfaces contain a packing of discs of the largest possible radius permitted by the topology of the surface. It is well known that arithmetic conditions…
Extremal k-packings in compact non-orientable surfaces
Ernesto Girondo, Cristian Reyes
An extremal -packing is a collection of mutually disjoint metric discs, embedded in a surface, whose radius is maximal for the given topology. We study compact non-orientabl…