Symmetry-breaking dynamical phase transitions (DPTs) abound in the fluctuations of
nonequilibrium systems. Here, we show that the spectral features of a particular class of …

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 …

We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric
Simple Exclusion Process (TASEP). This problem was studied by Jensen and Varadhan and …

These lecture notes, adapted from the habilitation thesis of the author, survey in a first part
various exact results obtained in the past few decades about KPZ fluctuations in one …

Strong symmetries in open quantum systems lead to broken ergodicity and the emergence
of multiple degenerate steady states. From a quantum jump (trajectory) perspective, the …

We introduce a general class of stochastic lattice gas models, and derive their fluctuating
hydrodynamics description in the large size limit under a local equilibrium hypothesis. The …

Large deviations for additive path functionals of stochastic dynamics and related numerical
approaches have attracted significant recent research interest. We focus on the question of …

Large deviations for additive path functionals of stochastic processes have attracted
significant research interest, in particular in the context of stochastic particle systems and …

Consider the asymmetric nearest-neighbor exclusion process (ASEP) on ${\mathbb Z} $ with
single particle drift $\gamma> 0$, starting from a Bernoulli product invariant measure …

Driven diffusive systems may undergo phase transitions to sustain atypical values of the
current. This leads in some cases to symmetry-broken space-time trajectories which …