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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Bibliographische Detailangaben
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
Format:	Artikel
Sprache:	eng
Schlagworte:	Chips
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422