In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

We analyze large deviations of the time-averaged activity in the one-dimensional
Fredrickson-Andersen model, both numerically and analytically. The model exhibits a …

Chemical reaction networks offer a natural nonlinear generalization of linear Markov jump
processes on a finite state-space. In this paper, we analyze the dynamical large deviations …

Dynamical phase transitions are crucial features of the fluctuations of statistical systems,
corresponding to boundaries between qualitatively different mechanisms of maintaining …

The Giardinà-Kurchan-Peliti algorithm is a numerical procedure that uses population
dynamics in order to calculate large deviation functions associated to the distribution of time …

We analyse a first-order dynamical phase transition that takes place in the Fredrickson–
Andersen (FA) model. We construct a two-dimensional spin system whose thermodynamic …

We connect the rare fluctuations of an equilibrium (EQ) process and the typical fluctuations
of a nonequilibrium (NE) stationary process. In the framework of large deviation theory, this …

Considering the large deviations of activity and current in the Asymmetric Simple Exclusion
Process (ASEP), we show that there exists a non-trivial correspondence between the joint …

We provide an exact expression for the statistics of the fluxes of Markov jump processes at
all times, improving on asymptotic results from large deviation theory. The main ingredient is …

We consider large deviations of the dynamical activity—defined as the total number of
configuration changes within a time interval—for mean-field and one-dimensional Ising …