4 Power-Laws of the Internet 8 4.1 Rank power-law . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.2 Degree power-law . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.3 Eigen power-law . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4.4 The doubts and settlement . . . . . . . . . . . . . . . . . . . . . 12 4.5 Network analysis before power-laws . . . . . . . . . . ...

Introduction Conclusions References

The Roman Empire shaped western civilization, and many principles are embodied in modern institutions. Although its political institutions proved both resilient adaptable, allowing it to incorporate diverse populations, the suffered from conflicts. Indeed, most emperors died violently, assassination, suicide or battle. These conflicts produced patterns length of time that can be identified by s...

Simulated dark matter profiles are often modelled as a ‘NFW’ density profile rather than a single power law. Recently, attention has turned to the rather rigorous power-law behaviour exhibited by the ‘pseudo phase-space density’ of the dark matter halo, which is defined dimensionally in terms of the local density and velocity dispersion of the dark matter particles. The non-power-law behaviour ...