Unicritical polynomial maps with rational multipliers

DOI10.1090/ecgd/359zbMath1475.37108arXiv2009.02422OpenAlexW3177083261MaRDI QIDQ5003596

Valentin Huguin

Publication date: 22 July 2021

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02422

zbMATH Keywords

Milnor conjecturerational mapsChebyshev map

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items (3)

Quadratic rational maps with integer multipliers ⋮ Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics ⋮ Rational maps with rational multipliers

Uses Software

• LMFDB

Cites Work

• Arithmetic of Unicritical Polynomial Maps
• Rational maps with real multipliers
• Galois theory of periodic orbits of rational maps
• The Galois Theory of Periodic Points of Polynomial Maps
• Periodic points, multiplicities, and dynamical units.
• Current trends and open problems in arithmetic dynamics
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