JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR : "Dynamical processes on scale-free networks: a mean field approach"

[statphys]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

Tuesday, 16 June 2009   -    12:30 hrs

Lecture Room D
SISSA Main Building

Fabio CACCIOLI
(S.I.S.S.A. - Trieste)

"Dynamical processes on scale-free networks:
a mean field approach"

Abstract

We consider  dynamical processes on scale-free networks. We introduce an 
approach allowing to derive Langevin equations for mean field order 
parameters that implicitly account for degree heterogeneity. In 
particular we focus on branching-annihilating random walks and we show 
that the critical properties of such systems explicitly depend on the 
parameter characterizing the degree distribution. We also discuss the 
role of noise for finite systems, showing how heterogeneous topologies 
can strongly affect single realizations of the dynamical processes.