  We study the dynamics of condensation for a stochastic continuous mass
transport process defined on a one-dimensional lattice. Specifically we
introduce three different variations of the truncated random average process.
We generalize hereby the regular truncated process by introducing a new
parameter $\gamma$ and derive a rich phase diagram in the $\rho-\gamma$ plane
where several new phases next to the condensate or fluid phase can be observed.
Lastly we use an extreme value approach in order to describe the conditions of
a condensation transition in the thermodynamic limit. This leads us to a
possible explanation of the broken ergodicity property expected for truncation
processes.
