5 citations · 11 across the 7 of their papers we have counts for
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Tessellations and Speiser graphs arising from meromorphic functions on simply connected Riemann surfaces
Alvaro Alvarez-Parrilla, Jesus Muciño-Raymundo
Motivated by W. P. Thurston, we ask: What is the shape of a meromorphic function on a simply connected Riemann surface ? We consider Speiser functions, i.e. meromorphic functi…
Tessellations of rational complex functions and the Riemann's existence theorem
Alvaro Alvarez-Parrilla, Roberto Gutiérrez-Soto, Jesús Muciño-Raymundo
A complex rational function R, of degree n>1, on a compact Riemann surface M provided with a cyclic order of its q critical values, determines an homogeneous tessellation of the Ri…
Geometry of transcendental singularities of complex analytic functions and vector fields
Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo
On Riemann surfaces , there exists a canonical correspondence between a possibly multivalued function whose differential is single valued ( an additively automorphic…