2015/04/01 by Vincent Beffara, Beffara, Vincent
Psychology · Social Sciences · #Psychotherapy Techniques and Applications #Psychoanalysis and Psychopathology Research #Educational Philosophies and Pedagogies
paper · pdf · doi:10.48550/arxiv.1504.00244
We present an algorithmic way of exactly computing Belyi functions for hypermaps and triangulations in genus 0 or 1, and the associated dessins, based on a numerical iterative approach initialized from a circle packing combined with subsequent lattice reduction. The main advantage compared to previous methods is that it is applicable to much larger graphs; we use very little algebraic geometry, and aim for this paper to be as self-contained as possible.