Generic properties of stochastic entropy production

Entropy production is a central quantity in stochastic thermodynamics, satisfying the fluctuation relations under very general conditions. Recently, new (and surprising) generic properties of entropy production have been discovered, such as uncertainty inequalities and the "infimum law". It is unclear if there are even more generic properties of entropy production, and how these properties are related. In this talk, I will present a general theory for non-equilibrium physical systems described by overdamped Langevin equations. For these system, entropy production evolves according to a simple stochastic differential equation, which depends on the underlying physical model. However, at steady state, a random time transformation maps this evolution into a model-independent form. This implies several generic properties for the entropy production, such as a finite-time uncertainty equality, universal distributions of the infimum and the supremum before the infimum, and universal distribution of the number of zero-crossings. I will conclude with generalizing some of the results to systems out of steady state.