6 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
Asymptotic versus mesoscopic spectral dimensions in networks and inhomogeneous structures
Lorenzo Grimaldi, Pablo Villegas, Alessandro Vezzani +3
"Every object that biology studies is a system of systems." (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of ex…
Geometric Criticality in Scale-Invariant Networks
Lorenzo Lucarini, Giulio Cimini, Pablo Villegas
Dimension in physical systems determines universal properties at criticality. Yet, the impact of structural perturbations on dimensionality remains largely unexplored. Here, we cha…
Chladni states in Ising Spin Lattices
Giulio Iannelli, Pablo Villegas
Low-temperature spin dynamics can become trapped in long-lived patterns shaped by the geometry of the interaction network. We introduce Chladni states, the binary spin configuratio…
Topological Symmetry Breaking in Antagonistic Dynamics
Giulio Iannelli, Pablo Villegas, Tommaso Gili +1
A dynamic concordia discors, a finely tuned equilibrium between opposing forces, is hypothesized to drive historical transformations. Similarly, a precise interplay of excitation a…
Higher-order contagion processes in 3.99 dimensions
Sandro Meloni, Andrea Gabrielli, Pablo Villegas
Higher-order interactions have recently emerged as a promising framework for describing new dynamical phenomena in heterogeneous contagion processes. However, a fundamental open qu…