The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

We investigate random walks on complex networks and derive an exact expression for the
mean first-passage time (MFPT) between two nodes. We introduce for each node the …

Understanding the behaviors of ecological systems is challenging given their multifaceted
complexity. To proceed, theoretical models such as Lotka-Volterra dynamics with random …

The Potts model with invisible states was introduced to explain discrepancies between
theoretical predictions and experimental observations of phase transitions in some systems …

We study the synchronization transition in scale-free networks that display power-law
asymptotic behaviors in their degree distributions. The critical coupling strength and the …

A finite-size-scaling (FSS) theory is proposed for various models in complex networks. In
particular, we focus on the FSS exponent, which plays a crucial role in analyzing numerical …

Understanding the relationship between the heterogeneous structure of complex networks
and cooperative phenomena occurring on them remains a key problem in network science …

Unveiling quantum phase transitions (QPTs) is important for characterising physical systems
at low temperatures. However, the detection of these transitions is encumbered by …

We consider the general p-state Potts model on random networks with a given degree
distribution (random Bethe lattices). We find the effect of the suppression of a first order …

The Ising model in uncorrelated scale-free networks has been studied by means of Monte
Carlo simulations. These networks are characterized by a degree (or connectivity) …