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
SN - 0010-3616
VL - 280
SP - 351
EP - 388
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -