Die Verteilung des Geschlechts zuf\"allig gew\"ahlter Origamis (Distribution of the genus of random origamis)

TL;DR

This paper employs character theory of the symmetric group to derive the distribution function of the genus for randomly chosen origamis, providing insights into their probabilistic structure.

Contribution

It introduces a novel application of symmetric group character theory to analyze the genus distribution of random origamis.

Findings

Distribution function for the genus of random origamis derived

Character theory effectively models origami genus distribution

Provides a probabilistic framework for origami topology

Abstract

Resultate der Charaktertheorie der symmetrischen Gruppe werden verwendet, um eine Verteilungsfunktion f\"ur das Geschlecht zuf\"allig gew\"ahlter Origamis zu erhalten. -- Results from the character theory of the symmetric group are used to obtain the distribution function of the genus of random origamis.)