We consider random walks evolving on two models of connected and undirected graphs
and study the exact large deviations of a local dynamical observable. We prove, in the …

Large deviation theory provides the framework to study the probability of rare fluctuations of
time-averaged observables, opening new avenues of research in nonequilibrium physics …

Dynamical fluctuations or rare events associated with atypical trajectories in chaotic maps
due to specific initial conditions can crucially determine their fate, as the may lead to stability …

We study the appearance of first-order dynamical phase transitions (DPTs) as “intermittent”
coexisting phases in the fluctuations of random walks on graphs. We show that the diverging …

Large deviation theory provides a framework to understand macroscopic fluctuations and
collective phenomena in many-body nonequilibrium systems in terms of microscopic …

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase
transitions that manifest in the fluctuations of time-integrated observables within classical …

The connection between dissipation and symmetry breaking is a long-standing enigma in
statistical physics. It is intimately connected to the quest of a non-equilibrium functional …

In this thesis, we employ the principles of statistical physics to investigate the ecology and
evolution of bacterial communities. By studying the collective behavior of large ensembles of …

By constructing a multicanonical Monte Carlo simulation, we obtain the full probability
distribution ρ N (r) of the degree assortativity coefficient r on configuration networks of size N …