TY - JOUR

T1 - A probabilistic approach to Zhang's sandpile model

AU - Fey - den Boer, A.C.

AU - Meester, R.W.J.

AU - Quant, C.M.

AU - Redig, F.

N1 - MR2395474

PY - 2008

Y1 - 2008

N2 - The current literature on sandpile models mainly deals with the abelian sandpile model (ASM) and its variants. We treat a less known - but equally interesting - model, namely Zhang's sandpile. This model differs in two aspects from the ASM. First, additions are not discrete, but random amounts with a uniform distribution on an interval [a, b]. Second, if a site topples - which happens if the amount at that site is larger than a threshold value E

AB - The current literature on sandpile models mainly deals with the abelian sandpile model (ASM) and its variants. We treat a less known - but equally interesting - model, namely Zhang's sandpile. This model differs in two aspects from the ASM. First, additions are not discrete, but random amounts with a uniform distribution on an interval [a, b]. Second, if a site topples - which happens if the amount at that site is larger than a threshold value E

U2 - 10.1007/s00220-008-0470-0

DO - 10.1007/s00220-008-0470-0

M3 - Article

VL - 280

SP - 351

EP - 388

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -