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DY: Fachverband Dynamik und Statistische Physik

DY 29: Statistical physics of complex networks

DY 29.3: Talk

Friday, March 27, 2009, 10:45–11:00, ZEU 255

Ergodic diffusion in network configuration space — •Sebastian Weber and Markus Porto — Institut für Festkörperphysik, Technische Universität Darmstadt, Germany

Virtually all real-world networks have evolved over time by stepwise alternation into their present structure. The patterns by which structural changes occur can be assumed to allow, in principle, for a free diffusion in the network configuration space. However, an ergodic exploration of the network configuration space by means of a generic process beyond single edge addition or removal is a subtle task as modification patterns are often bound to a particular class of networks [1]. We present an ansatz which uses only information of the current network in order to alter the network structure and evaluate the proposed schemes by driving, for instance, Erdős-Rényi type to two-point correlated scale-free type networks and back.

[1] S. Weber, and M. Porto, submitted