Arithmetic of Unicritical Polynomial Maps
John Milnor

TL;DR
This paper investigates the dynamics of complex unicritical polynomial maps of degree at least two, focusing on their arithmetic properties and how the presence of a single critical point influences their behavior.
Contribution
It provides new insights into the arithmetic structure and dynamical properties of unicritical polynomial maps, a class with a single critical point.
Findings
Characterization of the critical orbit structure
Relations between critical points and map dynamics
Implications for the parameter space of unicritical polynomials
Abstract
This note will study complex polynomial maps of degree with only one critical point.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals · Algebraic Geometry and Number Theory
