# Dresden 2006 – wissenschaftliches Programm

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# DY: Dynamik und Statistische Physik

## DY 12: Statistical Physics of Complex Networks II

### DY 12.5: Vortrag

### Montag, 27. März 2006, 12:00–12:15, H\"UL 186

**Coupled Multiplicative Stochastic Processes on Networks** — •Stefano Battiston — Chair of Systems Design, ETH Zurich, CH-8092 Zurich, Switzerland

We consider a system of coupled multiplicative stochastic process (MSP) with repulsive barrier, taking place on a network. We investigate by means of computer simulations the stationary distribution and the spatial correlations of such a system. While it is well know that a MPS with repulsive barrier produces a power law distribution, less attention has been drawn so far on the fact that even a weak local coupling destroys the power law and produces much less heterogeneous distributions. This fact raises an apparent contradiction because, several systems that can be described as strongly coupled MSP on a network, including some models of production networks, yet display power law distributions. A simple solution to such inconsistency is represented by asymmetric coupling. In this work we show that asymmetry allows both for strong coupling and power laws.