Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Thursday, 08.01.2015 17 c.t.

Discontinuous percolation transitions in cluster merging processes

by Prof. Dr. Byungnam Kahng
from Department of Physics and Astronomy, Seoul National University, Korea

Contact person: Theo Geisel


Ludwig Prandtl lecture hall


Recently interest of discontinuous percolation transitions (DPT) has been boosted in complex systems, because the DPT can be found in many real-world systems such as epidemic spreading [1] and cascading failures of inter-dependent infra-structure [2]. Nevertheless, many fundamental questions remained unsolved yet. One of them was to invent the model exhibiting the DPT in cluster merging processes and to understand diverse properties arising in such models. In my talk, I will present recent theoretical research progress of the DPT in the cluster merging processes, which includes models, properties of DPTs, and future works [3-4]. [1] H.-K. Janssen et al., Phys. Rev. E 70, 026114 (2004). [2] S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Nature 464, 1025-1028 (2010). [3] D. Achlioptas, R. M. D'Souza, and J. Spencer, Science 323, 1453-1455 (2009). [4] Y. S. Cho, S. Hwang, H. J. Herrmann, and B. Kahng, Science 339, 1185-1187 (2013).

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