Research on non-equilibrium statistical physics has been developing rapidly and today represents a theme of growing interest worldwide. Fundamental ideas, methods and techniques have gradually made their way from statistical physics into probability theory and mathematical physics, where they lead to new problems and new solutions. This crossroad has developed into a very active research area over the past 10 years. In the proposed workshop the focus is on common concepts and tools and on the surprising new connections that have become available recently. Key topics that will be addressed are:

(1) Non-equilibrium steady states of classical, quantum, and stochastic systems 

(2) KPZ universality

(3) integrable quantum dynamics

(4) hydrodynamic limit and large deviations

(5) anomalous transport. 

The satellite meeting aims at gathering major experts in these fields, with the goal of exchanging ideas and setting the stage for further progresses.