The ANR project SINEQ was awarded to Gabriel Stoltz. The aim of this project is to provide new tools for the mathematical and numerical analysis of nonequilibrium stochastic dynamics. The techniques employed lie at the interface of various subfields of mathematics, ranging from probability theory and the study of stochastic processes to functional analysis and the theory of partial differential equations; with an emphasis on the numerical analysis of Monte Carlo methods and time discretization of stochastic differential equations. The project is a collaborative effort involving Benjamin Jourdain and Tony Lelièvre at CERMICS, as well as researchers from CEREMADE (Université Paris Dauphine) and the SIMSART team of Inria Rennes.