  We analyze two types of hermitian matrix models with asymmetric solutions.
One type breaks the symmetry explicitly with an asymmetric quartic potential.
We give the phase diagram of this model with two different phase transitions
between the one cut and two cut solutions. The second type, describing real
scalar field theory on fuzzy spaces, breaks the symmetry spontaneously with
multitrace terms. We present two methods to study this model, one direct and
one using a connection with the first type of models. We analyze the model for
the fuzzy sphere and obtain a phase diagram with the location of the triple
point in a good agreement with the most recent numerical simulations.
