Unicritical and Maximally Critical Laminations

2023/03/30 by Burdette, Brittany, Falcione, Caleb, Hale, Cameron +1
#37F20 (Primary) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.17668

Abstract

We study the correspondence between unicritical laminations and maximally critical laminations with rotational and identity return polygons. Laminations are a combinatorial and topological way to study Julia sets. Laminations give information about the structure of parameter space of degree d polynomials with connected Julia sets.

Related

• Fixed Flowers
• Unicritical Laminations
• Degree-d-invariant laminations
• Laminational models for some spaces of polynomials of any degree
• Counting Rotational Sets for Laminations of the Unit Disk from First Principles