TY  - INPR
AV  - none
ID  - eprints1488
TI  - Weighted Networks as Randomly Reinforced Urn Processes
UR  - http://pre.aps.org/accepted/1d079Yc0D221223a300e80d727058a1d87346f0c4
N2  - We analyze weighted networks as randomly reinforced urn processes, in which the edge-total weights are determined by a reinforcement mechanism. We develop a new statistical test and a new procedure, based on it, to study the evolution of networks over time, detecting the ?dominance?
of some edges with respect to the others and then assessing if a given instance of the network is taken at its steady state or not. Distance from the steady state can be considered as a measure of the relevance of the observed properties of the network. Our results are quite general, in the sense that they are not based on a particular probability distribution or functional form of the
random weights. Moreover, the proposed tool can be applied also to dense networks, which have received little attention by network community so far since they are often problematic. We apply our procedure in the context of the International Trade Network, determining a core of ?dominant
edges?.
JF  - Physical Review E
SN  - 1539-3755
EP  - 4
PB  - American Physical Society
Y1  - 2013/02//
CY  - Lucca
A1  - Caldarelli, Guido
A1  - Chessa, Alessandro
A1  - Crimaldi, Irene
A1  - Pammolli, Fabio
ER  -