Projects per year

### Abstract

Many of the phenomena in the complex world in which we live have a rough description as a large network of interacting components. Random network theory tries to describe the global structure of such networks from basic local prin- ciples. One such principle is the preferential attachment paradigm which suggests that networks are built by adding nodes and links successively, in such a way that new nodes prefer to be connected to existing nodes if they have a high degree. Our research gives the first comprehensive and mathematically rigorous treatment of the case when this preference follows a nonlinear, or more precisely concave, rule. We survey results obtained so far and some ongoing developments.

Original language | English |
---|---|

Pages (from-to) | 21-40 |

Number of pages | 20 |

Journal | Jahresberichte der Deutschen Mathematiker Vereinigung |

Volume | 113 |

Issue number | 1 |

Publication status | Published - 2011 |

## Fingerprint Dive into the research topics of 'Random networks with concave preferential attachment rule'. Together they form a unique fingerprint.

## Projects

- 1 Finished

### INTERSECTION LOCAL TIMES AND STOCHASTIC PROCESSES IN RANDOM MEDIA

Morters, P.

Engineering and Physical Sciences Research Council

1/09/05 → 31/08/10

Project: Research council

## Cite this

Dereich, S., & Morters, P. (2011). Random networks with concave preferential attachment rule.

*Jahresberichte der Deutschen Mathematiker Vereinigung*,*113*(1), 21-40.