One of the main features of statistical systems out of equilibrium is the currents they exhibit in
their stationary state: microscopic currents of probability between configurations, which …

We consider the colored asymmetric simple exclusion process (ASEP) and stochastic six
vertex (S6V) model with fully packed initial conditions; the states of these models can be …

We study the probability distribution of a current flowing through a diffusive system
connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a …

Recent experimental progress has made it possible to detect in real-time single electrons
tunneling through Coulomb blockade nanostructures, thereby allowing for precise …

Nonequilibrium systems are often characterized by the transport of some quantity at a
macroscopic scale, such as, for instance, a current of particles through a wire. The …

We employ the macroscopic fluctuation theory to study fluctuations of integrated current in
one-dimensional lattice gases with a steplike initial density profile. We analytically determine …

Recently, there has been much progress in understanding stationary measures for colored
(also called multi-species or multi-type) interacting particle systems, motivated by asymptotic …

We derive a matrix product formula for symmetric Macdonald polynomials. Our results are
obtained by constructing polynomial solutions of deformed Knizhnik–Zamolodchikov …

We study the matrix ansatz in the quantum group framework, applying integrable systems
techniques to statistical physics models. We start by reviewing the two approaches, and then …

Recently James Martin introduced {\it multiline queues}, and used them to give a
combinatorial formula for the stationary distribution of the multispecies asymmetric simple …