Circle packings, kissing reflection groups and critically fixed anti-rational maps

DOI10.1017/fms.2021.81zbMath1490.37064arXiv2007.03558OpenAlexW3038490349MaRDI QIDQ5028866

Russell Lodge, Yusheng Luo, Sabyasachi Mukherjee

Publication date: 11 February 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03558

zbMATH Keywords

fixed anti-rational mapskissing reflection groups

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Reflection groups, reflection geometries (51F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Fuchsian and Kleinian groups as dynamical systems (37F32)

Related Items

Combination Theorems in Groups, Geometry and Dynamics ⋮ Combining rational maps and Kleinian groups via orbit equivalence ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ The Sullivan dictionary and Bowen-Series maps ⋮ On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections

Uses Software

• GitHub
• IMG

Cites Work

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