Special Year 2013-14: Non-equilibrium Dynamics and Random Matrices

We discuss some properties of a version of the one-dimensional totally asymmetric zero-range process in which a particle hops to the nearest neighbor site with rate proportional to \(1-q^n\), with \(n\) being the number of particles at the site. The...

We consider the totally asymmetric simple exclusion process with initial conditions and/or jump rates such that shocks are generated. If the initial condition is deterministic, then the shock at time t will have a width of order \(t^{1/3}\). We...

Edge reinforced random walk (ERRW) and vertex reinforced jump processes are history dependent stochastic process, where the particle tends to come back more often on sites it has already visited in the past. For a particular scheme of reinforcement...