The One-Dimensional KPZ Equation and Its Universality Class | Journal of Statistical Physics
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We solve the large deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension
at short time by introducing an approach which combines field theoretical, probabilistic, and …

We study the solution of the Kardar–Parisi–Zhang (KPZ) equation for the stochastic growth
of an interface of height h (x, t) on the positive half line, equivalently the free energy of the …

The one-dimensional symmetric exclusion process, the simplest interacting particle process,
is a lattice gas made of particles that hop symmetrically on a discrete line respecting hard …

We present an exact solution for the height distribution of the KPZ equation at any time t in a
half space with flat initial condition. This is equivalent to obtaining the free-energy …

We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed
density of particles ρ∈(0,1). We show GOE Tracy-Widom universality of the one-point …

Supplement to “Phase transitions in the ASEP and stochastic six-vertex model.”. This
supplement serves as the Appendix for the present paper. In Appendix A, we provide some …

We study a one-dimensional directed polymer model in an inverse-gamma random
environment, known as the log-gamma polymer, in three different geometries: point-to-line …

In this paper we study stationary last passage percolation with exponential weights and in
half-space geometry. We determine the limiting distribution of the last passage time in a …

Abstract We revisit the Lieb–Liniger model for n bosons in one dimension with attractive
delta interaction in a half-space with diagonal boundary conditions. This model is integrable …