The Abelian sandpile; a mathematical introduction

Details The Abelian sandpile; a mathematical introduction The Abelian sandpile; a mathematical introduction

2003-01-24

arxiv.org/abs/cond-mat/0301481v1

Markov Processes and Related Fields, 7, nr. 4, 509-523, 2001

Physics

Condensed Matter

Soft Condensed Matter

19 pages

Scientific paper

We give a simple rigourous treatment of the classical results of the abelian sandpile model. Although we treat results which are well-known in the physics literature, in many cases we did not find complete proofs in the literature. The paper tries to fill the gap between the mathematics and the physics literature on this subject, and also presents some new proofs. It can also serve as an introduction to the model.

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