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 …

Studies of biological systems and materials, together with recent experimental and
theoretical advances in colloidal and nanoscale materials, have shown how nonequilibrium …

Here we demonstrate that tensor network techniques—originally devised for the analysis of
quantum many-body problems—are well suited for the detailed study of rare event statistics …

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

Recent work has shown the effectiveness of tensor network methods for computing large
deviation functions in constrained stochastic models in the infinite time limit. Here we show …

The dynamics and structure of nonequilibrium liquids, driven by nonconservative forces
which can be either external or internal, generically hold the signature of the net dissipation …

We investigate Lee-Yang zeros of generating functions of dynamical observables and
establish a general relation between phase transitions in ensembles of trajectories of …

We consider a continuous time Markov chain on a countable state space and prove a joint
large deviation principle for the empirical measure and the empirical flow, which accounts …

The large deviation statistics of dynamical observables is encoded in the spectral properties
of deformed Markov generators. Recent works have shown that tensor network methods are …

We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular
automaton (CA), driven stochastically at its boundaries. This CA can be considered as a …