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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 and cascading failures of inter-dependent infra-structure. 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.

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Byungnam Kahng, Seoul National University
Seminar Room TP 0.03
Contact: not specified