CHOMP, RECURRENCES, and CHAOS(?)
نویسندگان
چکیده
In this article, dedicated with admiration and friendship to Chaos and Difference (and hence Recurrence) Equations Guru Saber Elaydi, I give a new approach and a new algorithm for Chomp, David Gale’s celebrated combinatorial game. This work is inspired by Xinyu Sun’s “ultimate-periodicity” conjecture and by its brilliant proof by high-school-student Steven Byrnes. The algorithm is implemented in a Maple package BYRNES accompanying this article. By looking at the output, and inspired by previous work of Andries Brouwer, I speculate that Chomp is Chaotic, in a yet-to-be-made-precise sense, because the losing positions are given by “weird” recurrences.
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