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 …

A survey of the use of graph theoretical techniques in Biology is presented. In particular,
recent work on identifying and modelling the structure of bio-molecular networks is …

Natural systems are undeniably subject to random fluctuations, arising from either
environmental variability or thermal effects. The consideration of those fluctuations supposes …

We study the synchronization of dissipatively coupled van der Pol oscillators in the quantum
limit, when each oscillator is near its quantum ground state. Two quantum oscillators with …

Recently there is a surge of interest in network geometry and topology. Here we show that
the spectral dimension plays a fundamental role in establishing a clear relation between the …

Synchronization, the temporal coordination of coupled oscillators, allows fireflies to flash in
unison, neurons to fire collectively, and human crowds to fall in step on the London …

Recent advances in machine learning (ML) have facilitated its application to a wide range of
systems, from complex to quantum. Reservoir computing algorithms have proven particularly …

We study the steady-state patterns of population of the coupled oscillators that sync and
swarm, where the interaction distances among the oscillators have a finite-cutoff in the …

The dynamics of networks of neuronal cultures has been recently shown to be strongly
dependent on the network geometry and in particular on their dimensionality. However, this …

Exciton states of molecular aggregates, with a particular focus on delocalization length, are
discussed. Despite the huge number of studies of molecular excitons, it is argued that there …