A genetic algorithm generates new extreme examples of small heights, many preperiodic points, long cycles, and long tails for polynomials up to degree 13 and rational functions up to degree 5.
Smallest representatives of sl(2,z)-orbits of binary forms and endomorphisms of p1.Acta Arithmetica, 189:283–308
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A Genetic Algorithm for Generating Extreme Examples in Arithmetic Dynamics
A genetic algorithm generates new extreme examples of small heights, many preperiodic points, long cycles, and long tails for polynomials up to degree 13 and rational functions up to degree 5.