Inhomogeneous Long-Range Percolation for Real-Life Network Modeling
| Autor: | Mario V. Wüthrich, Philippe Deprez, Rajat Subhra Hazra |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
long-range percolation
Strategy and Management Economics Econometrics and Finance (miscellaneous) graph distance jel:C Topology lcsh:HG8011-9999 network modeling stylized facts of real-life networks small-world effect scale-free percolation phase transition continuity of percolation probability inhomogeneous long-range percolation infinite connected component lcsh:Insurance jel:M4 jel:K2 jel:G0 Percolation theory jel:G1 jel:G2 Accounting jel:G3 ddc:330 FOS: Mathematics Continuum percolation theory Network model Mathematics Random graph Percolation critical exponents Probability (math.PR) Percolation threshold Degree distribution Directed percolation jel:M2 Mathematics - Probability MathematicsofComputing_DISCRETEMATHEMATICS |
| Zdroj: | Risks Volume 3 Issue 1 Pages 1-23 Risks, Vol 3, Iss 1, Pp 1-23 (2015) Risks, 3 (1) |
| ISSN: | 2227-9091 |
| DOI: | 10.3390/risks3010001 |
| Popis: | 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 ≥ 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. Risks, 3 (1) |
| Databáze: | OpenAIRE |
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