# Slow dynamics and rare-region effects in the contact process on weighted tree networks.

@article{dor2012SlowDA, title={Slow dynamics and rare-region effects in the contact process on weighted tree networks.}, author={G{\'e}za {\'O}dor and Romualdo Pastor-Satorras}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2012}, volume={86 2 Pt 2}, pages={ 026117 } }

We show that generic, slow dynamics can occur in the contact process on complex networks with a tree-like structure and a superimposed weight pattern, in the absence of additional (nontopological) sources of quenched disorder. The slow dynamics is induced by rare-region effects occurring on correlated subspaces of vertices connected by large weight edges and manifests in the form of a smeared phase transition. We conjecture that more sophisticated network motifs could be able to induce…

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