This review describes recent progress in the understanding of the emergence of scale
invariance in far-from-equilibrium growth. The first section is devoted to 'solvable'needle …

A number of exact results have been obtained recently for the one-dimensional asymmetric
simple exclusion process, a model of particles which hop to their right at random times, on a …

The idea of writing up a book on the hydrodynamic behavior of interacting particle systems
was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the …

Interactive Particle Systems is a branch of Probability Theory with close connections to
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …

These lecture notes give a short review of methods such as the matrix ansatz, the additivity
principle or the macroscopic fluctuation theory, developed recently in the theory of non …

We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other things) …

Many complex systems of interacting particles that one encounters in nature behave on a
phenomenological level in some random fashion. Therefore the theoretical treatment of …

We consider the asymmetric simple exclusion process (ASEP) with open boundaries and
other driven stochastic lattice gases of particles entering, hop** and leaving a one …

The techniques of quantum field theory on a lattice are used to examine the diffusion and
reaction processes of particles in a solid, such as vacancies or interstitials, or chemical …

We investigate shock formation in an asymmetric exclusion process with creation and
annihilation of particles in the bulk. We show how the continuum mean-field equations can …