On the Avalanche-finiteness of Abelian Sandpiles
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چکیده
We prove a necessary and sufficient condition for an Abelian Sandpile Model (ASM) to be avalanche-finite, namely: all unstable states of the system can be brought back to stability in finite number of topplings. The method is also computationally feasible since it involves no greater than O (
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تاریخ انتشار 2008