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Deprez, Philippe
Hazra, Rajat Subhra
Wüthrich, Mario V.
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[Journal:] Risks [ISSN:] 2227-9091 [Volume:] 3 [Year:] 2015 [Issue:] 1 [Pages:] 1-23
The study of random graphs has become very popular for real-life network modeling, such as social networks or financial networks. Inhomogeneous long-range percolation (or scale-free percolation) on the lattice Zd, d Ï 1, is a particular attractive example of a random graph model because it fulfills several stylized facts of real-life networks. For this model, various geometric properties, such as the percolation behavior, the degree distribution and graph distances, have been analyzed. In the present paper, we complement the picture of graph distances and we prove continuity of the percolation probability in the phase transition point. We also provide an illustration of the model connected to financial networks.
network modeling
stylized facts of real-life networks
small-world effect
long-range percolation
scale-free percolation
graph distance
phase transition
continuity of percolation probability
inhomogeneous long-range percolation
infinite connected component
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