*Complex Networks*

from the perspective of

*Statistical Physics*

The statistical physics of real-world networks,

In the past 15 years, statistical physics has been successful as a framework for modelling complex networks. On the theoretical side, this approach has unveiled a variety of physical phenomena, such as the emergence of mixed distributions and ensemble non-equivalence, that are observed in heterogeneous networks but not in homogeneous systems. At the same time, thanks to the deep connection between the principle of maximum entropy and information theory, statistical physics has led to the definition of null models for networks that reproduce features of real-world systems but that are otherwise as random as possible.Nature Reviews Physicsvolume 1, pages58–71 (2019)

#### Project Members

### Ref:

- Romualdo Pastor-Satorras, Miguel Rubi, Albert Diaz-Guilera;
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Hoefman K, Ryckebusch J, Bramson A, van den Heuvel M, Schoors K (2017)**Statistical physics of balance theory.**PLoS ONE 12(8): e0183696. - Andrea Gabrielli, Rossana Mastrandrea, Guido Caldarelli, Giulio Cimini;
**The Grand Canonical ensemble of weighted networks**, Phys. Rev. E 99, 030301 (2019) - Giulio Cimini, Tiziano Squartini, Fabio Saracco, Diego Garlaschelli, Andrea Gabrielli & Guido
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