Chip-Firing and Fractional Bases

Chip-Firing and Fractional Bases

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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Veröffentlicht in:arXiv.org 2020-07
Hauptverfasser: Borodin, Matvey, Han, Hannah, Ji, Kaylee, Khovanova, Tanya, Peng, Alexander, Sun, David, Tu, Isabel, Yang, Jason, Yang, William, Zhang, Kevin, Zhao, Kevin
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Chips
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container_title arXiv.org
container_volume
creator Borodin, Matvey
Han, Hannah
Ji, Kaylee
Khovanova, Tanya
Peng, Alexander
Sun, David
Tu, Isabel
Yang, Jason
Yang, William
Zhang, Kevin
Zhao, Kevin
description 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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title Chip-Firing and Fractional Bases
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