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 …

We introduce and test an algorithm that adaptively estimates large deviation functions
characterizing the fluctuations of additive functionals of Markov processes in the long-time …

Large deviation functions contain information on the stability and response of systems driven
into nonequilibrium steady states and in such a way are similar to free energies for systems …

Interacting particle systems with many degrees of freedom may undergo phase transitions to
sustain atypical fluctuations of dynamical observables such as the current or the activity. In …

Universality, where microscopic details become irrelevant, takes place in thermodynamic
phase transitions. The universality is captured by a singular scaling function of the …

We consider population dynamics as implemented by the cloning algorithm for analysis of
large deviations of time-averaged quantities. We use the simple symmetric exclusion …

We consider the numerical analysis of the time discretization of Feynman–Kac semigroups
associated with diffusion processes. These semigroups naturally appear in several fields …