Disordered hyperuniform structures are an exotic state of matter having suppressed density
fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any …

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 …

Recent work has shown the effectiveness of tensor network methods for computing large
deviation functions in constrained stochastic models in the infinite time limit. Here we show …

Chemical reaction networks offer a natural nonlinear generalization of linear Markov jump
processes on a finite state-space. In this paper, we analyze the dynamical large deviations …

We use projected entangled-pair states (PEPS) to calculate the large deviation statistics of
the dynamical activity of the two-dimensional East model, and the two-dimensional …

Dynamical phase transitions are crucial features of the fluctuations of statistical systems,
corresponding to boundaries between qualitatively different mechanisms of maintaining …

We study singularities in the large deviation function of the time-averaged current of diffusive
systems connected to two reservoirs. A set of conditions for the occurrence of phase …

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 …

We study large fluctuations of the current in a Dyson gas, a one-dimensional system of
particles interacting through a logarithmic potential and subjected to random noise. We …