Inhomogeneous long-range percolation for real-life network modeling

Artikel

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Risks ; ISSN: 2227-9091 ; Volume: 3 ; Year: 2015 ; Issue: 1 ; Pages: 1-23 ; Basel: MDPI

Classification and Topics

• Classification: Wirtschaft
• Subject: 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

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Deprez, Philippe ; Hazra, Rajat Subhra ; Wüthrich, Mario V.
• Event: Veröffentlichung
• (who): MDPI
• (where): Basel
• (when): 2015

Further information

• DOI: doi:10.3390/risks3010001
• Handle: http://hdl.handle.net/10419/167836
• Last update: 10.03.2025, 11:45 AM CET