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 …

Direct measurements of spin fluctuations are becoming the mainstream approach for studies
of complex condensed matter, molecular, nuclear, and atomic systems. This review covers …

Linear diffusions are used to model a large number of stochastic processes in physics,
including small mechanical and electrical systems perturbed by thermal noise, as well as …

Recent large deviation results have provided general lower bounds for the fluctuations of
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …

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 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 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 …

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 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 …

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 …