Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in
terms of Markov jump processes, the scaling conditions that ensure the emergence of a …

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 biased ensembles of trajectories for diffusive systems. In trajectories biased
either by the total activity or the total current, we use fluctuating hydrodynamics to show that …

We discuss the Giardinà-Kurchan-Peliti population dynamics method for evaluating large
deviations of time-averaged quantities in Markov processes [Phys. Rev. Lett. 96, 120603 …

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 …

We study the probability distribution of a current flowing through a diffusive system
connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a …

We discuss the relationships between large deviations in stochastic systems, and “effective
interactions” that induce particular rare events. We focus on the nature of these effective …

We propose a general formalism, within large-deviation theory, giving access to the exact
statistics of fluctuations of ballistically transported conserved quantities in homogeneous …

We present a systematic analysis of stochastic processes conditioned on an empirical
observable Q_T QT defined in a time interval 0, T, for large T. We build our analysis starting …

We study the occupation fluctuations of drifted Brownian motion in a closed interval and
show that they undergo a dynamical phase transition in the long-time limit without an …