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.
Numerical evidence for a conjecture of Poonen.Rocky Mountain Journal of Mathematics, 43(1):193–204
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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.