The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

We review the general aspects of the concept of temperature in equilibrium and non-
equilibrium statistical mechanics. Although temperature is an old and well-established …

Fluctuation theorems, developed over the past 15 years, have resulted in fundamental
breakthroughs in our understanding of how irreversibility emerges from reversible dynamics …

Granular materials are ubiquitous in nature and are also employed in many industrial
settings such as those involving chemical processes, pharmaceutical products, mining, and …

Every hypothesis must derive indubitable results from mechanically well-defined
assumptions by mathematically correct methods. If the results agree with a large series of …

We use a neural-network ansatz originally designed for the variational optimization of
quantum systems to study dynamical large deviations in classical ones. We use recurrent …

The transport coefficients of a granular fluid driven by a stochastic bath with friction are
obtained by solving the inelastic Enskog kinetic equation from the Chapman-Enskog …

We study the dynamics of a homogeneous granular gas heated by a stochastic thermostat,
in the low density limit. It is found that, before reaching the stationary regime, the system …

We describe a simple form of importance sampling designed to bound and compute large-
deviation rate functions for time-extensive dynamical observables in continuous-time Markov …