Chip-Firing and Fractional Bases

Published 25 Sep 2018 in math.CO | (1809.09676v2)

Abstract: We study a particular chip-firing process on an infinite path graph. At any time when there are at least $a+b$ chips at a vertex, $a$ chips fire to the left and $b$ chips fire to the right. We describe the final state of this process when we start with $n$ chips at the origin.

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