Ivashkevich, E.V.; Ktitarev, D.V.; Priezzhev, V.B. - In: Physica A: Statistical Mechanics and its Applications 209 (1994) 3, pp. 347-360
We study the structure of the avalanche process in the 2D Abelian sandpile model. An avalanche may be represented as a sequence of waves, each consisting of sites that toppled only once in that wave. It is shown that the waves are in one-to-one correspondence with the set of two-rooted spanning...