TY - JOUR
T1 - Mean size of avalanches on directed random networks with arbitrary degree distributions
AU - Gleeson, James P.
PY - 2008/5/19
Y1 - 2008/5/19
N2 - The mean size of unordered binary avalanches on infinite directed random networks may be determined using the damage propagation function introduced by. The derivation of Samuelsson and Socolar explicitly assumes a Poisson distribution of out-degrees. It is shown here that the damage propagation function method may be used whenever the in-degree and out-degree of network nodes are independently distributed; in particular, it is not necessary that the out-degree distribution be Poisson. The general case of correlated in- and out-degrees is discussed and numerical simulations (on large finite networks) are compared with the theoretical predictions (for infinite networks).
AB - The mean size of unordered binary avalanches on infinite directed random networks may be determined using the damage propagation function introduced by. The derivation of Samuelsson and Socolar explicitly assumes a Poisson distribution of out-degrees. It is shown here that the damage propagation function method may be used whenever the in-degree and out-degree of network nodes are independently distributed; in particular, it is not necessary that the out-degree distribution be Poisson. The general case of correlated in- and out-degrees is discussed and numerical simulations (on large finite networks) are compared with the theoretical predictions (for infinite networks).
UR - http://www.scopus.com/inward/record.url?scp=44149104107&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.057101
DO - 10.1103/PhysRevE.77.057101
M3 - Article
AN - SCOPUS:44149104107
SN - 1539-3755
VL - 77
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
M1 - 057101
ER -