On the Toppling of a Sand Pile
نویسندگان
چکیده
The sand pile model was introduced by Bak, Tang and Wiesenfeld (see [BTW88]) in the context of selforganized criticality. Since then, there has been a lot of work on this model and related models, especially from the graph-theoretical point of view (see, e.g., [ALSSTW89, GK93, GMP]). In the classical model, designed by Brylawski for another purpose (see [Bry73]), a sand pile is a decreasing sequence of integers n1 nk . One can represent such a sand pile graphically by justifying at the bottom k columns of respective lengths n1 nk (see Figure 1).
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