Stationary nonequilibrium states describe steady flows through macroscopic systems.
Although they represent the simplest generalization of equilibrium states, they exhibit a …

The thermodynamic formalism allows one to access the chaotic properties of equilibrium
and out-of-equilibrium systems, by deriving those from a dynamical partition function. The …

This paper provides an introduction to some stochastic models of lattice gases out of
equilibrium and a discussion of results of various kinds obtained in recent years. Although …

We consider a continuous time Markov chain on a countable state space and prove a joint
large deviation principle for the empirical measure and the empirical flow, which accounts …

We derive a large deviation principle for the empirical currents of lattice gas dynamics which
combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and …

For diffusive many-particle systems such as the SSEP (symmetric simple exclusion process)
or independent particles coupled with reservoirs at the boundaries, we analyze the density …

Stein variational gradient descent (SVGD) refers to a class of methods for Bayesian
inference based on interacting particle systems. In this paper, we consider the originally …

Stein variational gradient descent (SVGD) refers to a class of methods for Bayesian
inference based on interacting particle systems. In this paper, we consider the originally …

Macroscopic equations arising out of stochastic particle systems in detailed balance (called
dissipative systems or gradient flows) have a natural variational structure, which can be …

We consider a system of independent particles and a system of reacting particles on a
discrete state space. For the independent case, we rigorously prove a dynamic large …