Title: Crossover between various initial conditions in KPZ growth: flat to stationary,
Abstract: We conjecture the universal probability distribution at large time for the
one-point height in the 1D Kardar-Parisi-Zhang (KPZ) stochastic growth
universality class, with initial conditions interpolating from any one of the
three main classes (droplet, flat, stationary) on the left, to another on the
right, allowing for drifts and also for a step near the origin. The result is
obtained from a replica Bethe ansatz calculation starting from the KPZ
continuum equation, together with a "decoupling assumption" in the large time
limit. Some cases are checked to be equivalent to previously known results from
other models in the same class, which provides a test of the method, others
appear to be new. In particular we obtain the crossover distribution between
flat and stationary initial conditions (crossover from Airy$_1$ to Airy$_{\rm
stat}$) in a simple compact form.