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.
Moduli spaces of quadratic rational maps with a marked periodic point of small order.International Math Research Notices, 2015(23):12459–12489
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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.