Luciano Pietronero

TL;DR: This prototype model of the "rigid Laplacian" operator is suitable to provide an explanation of the widespread presence of power law in a social and economic system where information and decision diffuse, with errors and delay from agent to agent.

TL;DR: In this paper, the vertex corrections in nonadiabatic regime can never be disregarded independently of the degree of electronic correlation in the system, which is understood in terms of the momentum-frequency dependence of the vertex function.

TL;DR: In this paper, the role of finite size effects on the value of the effective Hurst exponent H was investigated and it was shown that finite size effect strongly enhances H and the convergency to the asymptotic value is rather slow.

TL;DR: An algorithm is introduced, that is called PopRank, to assess both the Impact of Facebook pages as well as users’ Engagement on the basis of their mutual interactions, which turns out to be slightly dependent on the quality of pages’ informative content but independent of users' polarization.

TL;DR: The recent observations of galaxy and dark matter clumpy distributions have provided new elements to the understating of the problem of cosmological structure formation as mentioned in this paper, and the strong clumpiness characterizing galaxy structures seems to be present in the overall mass distribution and its relation to the highly isotropic cosmic microwave background radiation represents a fundamental problem.