  We present a study of phi-four theory on noncommutative spaces using a
combination of the Wilson renormalization group recursion formula and the
solution to the zero dimensional vector/matrix models at large $N$. Three fixed
points are identified. The matrix model $\theta=\infty$ fixed point which
describes the disordered-to-non-uniform-ordered transition. The Wilson-Fisher
fixed point at $\theta=0$ which describes the disordered-to-uniform-ordered
transition, and a noncommutative Wilson-Fisher fixed point at a maximum value
of $\theta$ which is associated with the transition between non-uniform-order
and uniform-order phases.
