2003/01/24 by R. Meester, F. Redig, D. Znamenski · 1 citation
Physics and Astronomy · #cond-mat.soft
published as Markov Processes and Related Fields, 7, nr. 4, 509-523, 2001 · 19 pages
arxiv created 2003/01/24 · arxiv updated 2009/11/30
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.