Recently, we pointed out that on a class on non exactly decimable fractals two different parameters are required to describe diffusive and vibrational dynamics. This phenomenon we call dynamical dimension splitting is related to the lack of exact decimation invariance for these structures, which...

We generalize the Mermin-Wagner theorem proving that classical O(n) and quantum Heisenberg ferromagnetic models with nearest neighbors interactions cannot have spontaneous magnetization at any finite temperature on fractal and disordered lattices whose spectral dimension is less or equal to 2,...

We investigated the efficiency of attack strategies to network nodes when targeting several complex model and real-world networks. We tested 5 attack strategies, 3 of which were introduced in this work for the first time, to attack 3 model networks (Erdos and Renyi, Barabasi and Albert...

In this paper we try to bridge breakthroughs in quantitative sociology/econometrics, pioneered during the last decades by Mac Fadden, Brock–Durlauf, Granovetter and Watts–Strogatz, by introducing a minimal model able to reproduce essentially all the features of social behavior highlighted by...

In this work we introduce and analyze the stochastic dynamics obeyed by a model of an immune network recently introduced by the authors. We develop Fokker–Planck equations for the single lymphocyte behavior and coarse grained Langevin schemes for the averaged clone behavior. After showing...