DOAJ Open Access 2003

Results and conjectures on the Sandpile Identity on a lattice

Arnaud Dartois Clémence Magnien

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Abstrak

In this paper we study the identity of the Abelian Sandpile Model on a rectangular lattice.This configuration can be computed with the burning algorithm, which, starting from the empty lattice, computes a sequence of configurations, the last of which is the identity.We extend this algorithm to an infinite lattice, which allows us to prove that the first steps of the algorithm on a finite lattice are the same whatever its size.Finally we introduce a new configuration, which shares the intriguing properties of the identity, but is easier to study.

Topik & Kata Kunci

Mathematics

Penulis (2)

Arnaud Dartois

Clémence Magnien

Format Sitasi

APA MLA BibTeX

Dartois, A., Magnien, C. (2003). Results and conjectures on the Sandpile Identity on a lattice. https://doi.org/10.46298/dmtcs.2308

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2308

Informasi Jurnal

Tahun Terbit: 2003
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2308
Akses: Open Access ✓