Talker:  Mario Wüthrich (ETH Zurich)

Title: Networks, Random Graphs and Percolation

Abstract: We present different random graph models and analyze whether these models share the stylized facts of real world networks such as financial networks and social networks. Thereby we discuss the Erdos-Renyi random graph, the Newman-Strogatz-Watts random graph, nearest-neighbor bond percolation, homogeneous long-range percolation, heterogeneous long-range percolation and continuum space long-range percolation. For these models we study degree distributions, sizes of connected components and graph distances.

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