Fingerprints of Closed Trajectories of a Strebel Quadratic Differential

2020/11/17 by Braek, Gliaa, Thabet, Faouzi
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.08642

Abstract

In this note, we study the fingerprints of closed smooth curves that are trajectories of a particular Strebel quadratic differentials. It is a generalization of the cases of polynomials and rational lemniscates.

Related

• Fingerprints, lemniscates and quadratic differentials
• Lemniscates as Trajectories of Quadratic Differentials (I)
• Explicit Examples of Strebel Differentials
• Level functions of quadratic differentials, signed measures, and the Strebel property
• Shapes, fingerprints and rational lemniscates