Stationary nonequilibrium states describe steady flows through macroscopic systems.
Although they represent the simplest generalization of equilibrium states, they exhibit a …

The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

We consider the problem of conditioning a Markov process on a rare event and of
representing this conditioned process by a conditioning-free process, called the effective or …

These notes give a summary of techniques used in large deviation theory to study the
fluctuations of time-additive quantities, called dynamical observables, defined in the context …

These notes are based on lectures delivered by the authors at a Langeoog seminar of
SFB/TR12 Symmetries and Universality in Mesoscopic Systems to a mixed audience of …

We calculate the large deviation functions characterizing the long-time fluctuations of the
occupation of drifted Brownian motion and show that these functions have non-analytic …

One of the main features of statistical systems out of equilibrium is the currents they exhibit in
their stationary state: microscopic currents of probability between configurations, which …

Sampling the collective, dynamical fluctuations that lead to nonequilibrium pattern formation
requires probing rare regions of trajectory space. Recent approaches to this problem, based …

Markov processes restarted or reset at random times to a fixed state or region in space have
been actively studied recently in connection with random searches, foraging, and population …

We study the large deviations of the time-integrated current for a driven diffusion on the
circle, often used as a model of nonequilibrium systems. We obtain the large deviation …