Inhomogeneous Long-Range Percolation for Real-Life Network Modeling

Philippe Deprez, Rajat Subhra Hazra and Mario V. Wüthrich
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Philippe Deprez: RiskLab, Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland
Rajat Subhra Hazra: Indian Statistical Institute, Theoretical Statistics and Mathematics Unit, Kolkata 700 108, India
Mario V. Wüthrich: RiskLab, Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland

Risks, 2015, vol. 3, issue 1, 1-23

Abstract: 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 Z d , d ? 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.

Keywords: 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 (search for similar items in EconPapers)
JEL-codes: C G0 G1 G2 G3 K2 M2 M4 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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