We summarise different results on the diffusion of a tracer particle in lattice gases of hard-
core particles with stochastic dynamics, which are confined to narrow channels—single-files …

When a system's parameter is abruptly changed, a relaxation toward the new equilibrium of
the system follows. We show that a crossing between the second and third eigenvalues of …

We study the current large deviations for a lattice model of interacting active particles
displaying a motility-induced phase separation (MIPS). To do this, we first derive the exact …

We investigate the statistics of the local time T=∫ 0 T δ (x (t)) dt that a run and tumble
particle (RTP) x (t) in one dimension spends at the origin, with or without an external drift. By …

Active systems are characterized by a continuous production of entropy at steady state. We
study the statistics of entropy production within a lattice-based model of interacting active …

We identify a new scenario for dynamical phase transitions associated with time-integrated
observables occurring in diffusive systems described by the macroscopic fluctuation theory …

We investigate non-stationary heat transfer in the Kipnis–Marchioro–Presutti (KMP) lattice
gas model at long times in one dimension when starting from a localized heat distribution. At …

We consider a system of N noncrossing Brownian particles in one dimension. We find the
exact rate function that describes the long-time large deviation statistics of their occupation …

Large deviations in chaotic dynamics have potentially significant and dramatic
consequences. We study large deviations of series of finite lengths N generated by chaotic …

Introducing a general class of one-dimensional single-file systems (meaning that particle
crossings are prohibited) of interacting hardcore particles with internal degrees of freedom …